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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta charset="utf-8">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="generator" content="pandoc" />
<meta name="author" content="Benjamin Chan (https://www.facebook.com/benjamin.ks.chan)" />
<title>My Facebook network</title>
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xaXpygKB5dWVlFrb5mQOydwB7i0J6ubFjh7npdh1XXdKUdEAmoj3W5Db4m4QE1LVCapO1XgH2D%2FkB08JF83SNM9ZhZf5I9%2B7Rz8J%2FI3IIfrMb5LHcjByu%2BUvGUKxQ%2FkcaLYdZ40f8JWOkw%2BA4iEBtlYSmddP1HFw%2FdKtShd1YQrncW61ZeqsIAcmYleEIEKAhx1ry8ND6aFh%2F8V9VHtiPdBPGObFcRVTzQgcz40RO7WEpW0ba3k2z3i6zBvlL9xO4ka%2F1EVnLTSa%2Buo%2BmkNzrwWDyPcz4lWOAxAp2%2BTrKORXoPGvm6d5aKpzt50u4573rAOfhP1CUXfpbjl36l4XWpysmXBCr6PbGqqsTnSRvReJFj4Xl9rvYfHFko%2FqPrb9YYEpV1CsKxTiSrXhisap%2F%2BC%2B6uu%2F8CZVz1iWlY7fGdnKxd2eM7WS2lcof2ANfjrBHRsoomvoE%2BuiF%2FpXpsCFnJYVZIVk7UsM85PYeLXYofPYf9H42YsMdtUq%2FMTd79Ho4bf2S7Gq9PVRxDC6lKG1VpVBV9cvFXGr6oVycSFZ%2FauXWquCnKooTpFvcfy0YiWVX%2BI%2FD8UOPXvp%2BE5%2Bom3JHt0IXP6MxS5U%2FAqovYd3l62%2BltAxkkq6q7T7LR3xT%2Bcz8gICtekEZU28Hq3d9JkEXhcfclufMmmZusgqh%2B5ww%2B7k3Vwcd9XbHh1JbiELt3Fu67QYbvmRs%2FCg5by%2Fr3TnRlZXhu7ijl5o6qlZ%2BrQrpkGp3PTVTZFKpwyqWabnH%2Fce5T6T%2Ba%2BNhiV5b7vOiQWG1XNvGNzngqewJWX%2BO7%2BPupIVbDas6n8HPju1ZMXmrvkcJ%2FhQ1Ya89RaqlV9P%2Bu0DacBdfrcx5rlPXMqW5%2B%2FVv8cfLHuP4t%2F6ZgDdhPFR8DGRmRoMk6R6Yc9MgU65TdN%2BKH32y1gyJruJn9x3%2BQ4%2B1zUvkZZYoyqq52HfJR1T3OUca8Ss9VrVhgoR1nngEaUXl%2BEwnEj%2B5Lg7fIsNx%2FsEWwXdT%2BI%2FD8UOO75zqXdKad2WS2XFS9L3XHH%2FH3m9r4nePnO%2F7Ys%2Fk6qErLYy0lJ6agZeeN%2FwwccYGT1QoEPwJqvCIveWiGhaw0jqw4olppFhqa8b%2FC%2BdTSMfJ8SlX%2Fp%2B918A8%2Bor5fxP%2FNTuvM3TtoeHe%2FThlVC9NKslFVNwNc6blq86mEHcyuYlSiOqOvmLPKAkLhPzbxCP6j62%2B9f0qwwjHOiiWI80kKVVktH0mD79lpNHuEPZ9yx6Q3iKpAKUiIS%2BdKK4ZmEpg0z1gZ%2FjhD12TDPydq2A6DMfTF%2FCCSlRZO0fLXPJsLM9o5%2FJ%2BS1UU8jHffrIaAVo2H93qXRX3g%2FV5fZeaqtAxwpeeqH3Trtr4z%2Boo5qyzjqus%2FuvixZ5JszVn3T9bAuDz2jM54qngC1XyGupJhFtiO%2BapVZZeFqvBG9bLT64cJ8zEW2juBk3sMRUbTMA9ggQX%2FxuNExVKRpvwrklXWFA5ZaUTl2d%2FRNOseP4pZYB18QoGHvnMyyNx5aXCbSf9x47s%2BV9Vv%2FQ2nBFacueFU%2BfxH298aemcj%2BAollosRz0QwI9ygM56qmBNbdKZpA5nYorobKAtV1yzEXc4xMjWQ2Xzu%2BE7FzK0BZnfYN3ezIOaa7cYL%2BL91Kw6%2BwooX2cJdqES1Yl3fwkumIJzZeGJX6gvVmzcdfOOV0JL6h1jjlZuVAa78e1Xd1scYiWP5mRhHlc9%2F9PFYhwhrwqz%2BfBOLKP8AaClJVcxhKRb%2FbHAgM5D5bBD67tR1UFX8XUSS8JcpqS8QN340V4kWuHQHNRnlvBhKfbH7Vr8H6fkKWPUwq6eGeuYgy1ZNqcPGOz6%2BR9SZ1V7of6CvfPi4Z0Y6zuSjamFa6bv2XhUpNzRDI2ruGXdyLNC1U%2FVs9fxHH4912DsxkOnMds9tPgd%2FPNEpvw99qvKrPL3r8FZaC3Vl26BE558ratV5h5brrxqrSjZWe2oL%2FbGSS62BPrSGWgP31eFR1ZYP7%2F23Jv5tWjqelgG%2BMe9VoU1C5X6i5fIfCh7GYRjtwIM65C%2FhnJc6S%2F9XnldPHdKgJoWtn6q6WQa0qq4yZuwG%2BY%2FxN2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYseVnpcgqGjNm7EYTNd1MEGK0kaUITo7BMiNUZj1D6RBgIRmWfxAO%2FFpHr1Vl6qOHh2WCxTJWwxWpzzycMW1rU6TJ5QMexTRpz5cqLpp7Tvw4WJlhBGp%2BBo7p79qA4m5Bmngs%2F5fXJWZFOsN86VmYRFb3agsKnuuswqLabGc2wig6q2t%2BjKX3TfZN4tc1P6Y0CV1XT7c%2Buvjor4tXpcgXo5daH5QVaUf8fJhRy0f8ShZltOdLW1lj1bW5cG1qRVxmL77HjjgmvE9R%2FzPNIBmL4pz2%2FS4zGXS56nQyJ70tVuA43%2FnhhXCDWLVTsHLHWSNKIav78VHwuOp%2FIIMipCx1YtdARq2zGvoUS986vnXcXu35aXmpqlsfXTwuQ3eviwCdg68rVx9cjSm%2F72K8qp0Ka69yLaEXBOWD7i5NogZ0pBfagNRNqJFxxsqEFfWPwLL%2B09uwHqe3jaYjJJ1eWCSe0SKcjaeJvbvxVmCVVIo0mRsZbeHSfvd3JVC1cDG3mnyFKyZVeNRZBYmKOKvFKsJysjg6o%2BzmrAAX9OBrN1HQg9KAVKq66wPik8r6uPCT1iQBH4jbAtCO9c7Gmb8KgVM%2BfqdTH%2Fyu9bWEasxz4a06Nd5xLnewJl9aLgT0WD2Vqon8Ot6IYncG62CUwRrSIF%2FgCGtkgnsnosow2zrYZMcO3HPU%2FiPwqxhxq40cvmkhMjI00%2FaV%2FG5xiVySOYQtkapLVRdU5HNTVb3sG3VWD28VlUA7vFWus3rbPl76oT28l06y2%2FaVj6ru%2BnC8vD4Cb%2FWFUMG%2FT4XH2hcKkKBASfsT6vpA4Buj1ydHk5BqNakbb68qVa4%2BFe7kXqsqkWWbd4sS5D7Nq8qnh9fhq6ASUbCGlDUMzYSvyueGPCTnI541tkrS2bvxqGrS9jZl7inw218N%2Fe75%2B2RdsdMygrCWQjrAh6pe8igqsjo4SsrB0VkV1VPprIau8tLvS92Xk%2BgMXVU0X8ZyaqQIe9z14TWS14fjYceRL%2B1585dWnQL%2FP5PsR790%2F%2BRHvwQRrA%2FU9YliQHhQVZ%2FkNwJPM6d8qumNqgkP%2F0mw8lE1zh7dUfyzR3fECSoZKDuzd6IZZrcwKtdQ8FVVjzwQWaTGlIj%2F8bZ2hrK8%2FmKhznTC9jV7MiHrLH2pir3s0qaWj5Q6KQe3zmoyT2uZzqoVE5InEAzWijBJLnFcKMQlb2pRH8sWpuLEltWH42E86rbr1I2LlGV43EFndIv7J6NbZDvXuNsHHvmrqvpgcshjZLvsG56mlmoIoIpQuUZV3SSUF1VlSr1JNtlU%2FLPJJlp9qqruehS%2F3vUolXr3DHZmdah6zyC%2Fm3sGfdu%2F353R5d2ebHiTzlX1GloX7%2Bisiscu11nlsp9izM7nFX8lu4aOEJeoD253wLdAkNfHqb%2B4Uzne1nzFunMl2j7LFl%2F1byOn%2FJ452FykRVV%2B%2FwUv3dqB93QSKHKdW71RtRSqWnUDmQP7T287sJ%2FL6B3bIU1yVbtd284wVNPqYwVwRMWR1T8ALqz12mMbzupQde2xzeesGEaAsoCZ%2B7I7D5y8HqqKTF%2B5qaqrs4r5U97TYn24Ui%2BMSl%2FL5w4rGd%2FUaKUyJBf1YbWjaZALrVXVx6m%2FuFM5Pr%2BN0IR9NxOqNnLKB6m1enX53u354H7lm700rf1vxKgKMUqcrYAU0Qq1jF6xzJjjwH6jGB6jaR4AQ964gTXA%2FzUUPFDv2r6dcu8vxEe%2BHv9Z62vgq7WUlzWibUsKgIsTMuWnqp7OqjUswt%2FeP%2FExJx8CD9Nqw5NRlPrAcBdU67668PbGCiq8837RST9I1ded8qspOrT6urVcqfn5%2B%2Bj4So%2BqOjPn0bQXVUcVbylY8MQuzMOLvLHqKgJ%2Faotc974YP33f44mOxUd%2BQXtZI8ZXERIvM6rq6ay2vyHKvOOP%2BD3f70P2ZwTFdQkq1P71dV%2F18N6uK6tRZeuDNcJ3rzr4ys9V6Ybqy0upij9VnFeLGzFqXMfGUzUvHTyrAXo3UF7W8PeqPBMsU6QUvxVqiFVVOPzcEKrq6Kx2LIoyh1%2FG74dfFt%2F7adrru4qu7qseXp%2BqpdYHE1IDGTUeXnak9k5sPkfXuV36Z4X%2B9Xf2vHMO%2BW4LelR1Tz2KPy8Pk9Pb%2FXrGsmM%2B2v4Gzp8YYrYjN9a7Y2eS5mu%2F%2Ft6bVJ1VlwJqkPepKi1UPRVd3fro43V1fa%2BjPt2o2k7QrQ3Z%2BA4dnVsNXeKUBzolL1%2BbDK7rU%2Fd6XTZELtRtroeDrMTsRDdVxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjBeb6o%2By0Pt5KEzRo61BQha4rq6dBmzsnnUdfrlhLodptTKuFmDVJLn0sd0ZGdafebSRTli2lRY0tO8OVCkMzSS0VYAfPQuvfUp3VeDG%2BiNKTVLFK3ZU7aM6KnDijC0TqWfiqSo2CGxdvO7TnwP7e2RBZwpo1jB9Nss3n5Eu3rMmwTX%2BdtTuaqr4lULqUjgBkOUvuaJT4gG7ntEQYW3qvxWdWaOgsrn8SpSdDAxm6CnAhXk3WKLNXSzKqWKU%2BVVGCxCXi9rBegxCbcDgJy73WXiOQzpbYhBUUKy5Al9TxZ%2BpD6nolyZQaBC1QcgsKloK4S79Y%2F4gKvIWCpm7TwRa3Pr271z2L1ZTe0ajwxWVTFnZSl9cVo5JMl3qq8r3WNSU5VVFTIKKhAlyMV5HVq9nKS9X2J9xomXApF8O0Ckq3lHKYaKHfDZ7unU0wykYMos4oZh1fpFI18QcvyS8vpwJH7%2BQrGPOqi%2FX%2Bo7EOtngJHDEi6L%2F%2Bs6hlU%2FD6CzWFkAqt1jpU9fZmf77wPSuKNxTJURXJp6cCXIyXk7WyVEWioaCnc%2FzgvKzvcsbf3lmuczj6G5UcJoZr7ez5%2B7b%2FraojcFPVijWdBE3gs1SqYquqRNyKW05noTVR0lxzxxrtADVQQkBb8QA4yaiRVjGqFKqipK%2BsJvamNFdzeR5bmse%2BCp930lWAvfEyslaWqrbu7DcFwcI3lIBq78TU0NTQ3olkXn5ZZrftQ6mrX4LAaDthLszH6iaGTa4KaZ0gHqcWFMJVlqq6Gha6AapXcHpzA2A%2B9y%2FWIqTUJ0%2FySZ324drbsueLHBt5BYmKm4AEFqw6G89CemT1w%2FuTtfJUjRf0n3HCo%2B%2BdPdC5iq1iBzqFgrAi%2FL26%2BW2rL74B0S0vUNwd91fBRFHzx7TNkOL%2FNcnu%2Fh83n6q6Ghb6qhf6AW3lAmD0F0j9pR0lQZ3a81a10iHJSLzUm9e%2FpRIXtfdACCJRo7YAeuPFHN6LfOvfklTWB7%2F%2BLe%2BzKk9V%2FV66%2B9KmNvy6qa37EiHI7otDd4QCa9F8aKImBUhkNY5MRVngeRKRjifZxqM3n6olvSrTPEMnQK1sAIyEG5liIXcATLtXVxooBCX40ttDEN%2FmjzQUr4MXg4Hm%2B6O5M1y7%2BhSTD4SzpPvQeOGt9Pq3vM8qjaq9s6e3UUa80qgahTzx6W2nt4UfjhK6g9DfgxxnP9%2BJzB7D%2B6ikuB8SXrEPKUSKfYZ731WOqtaYHXyNUQitm8%2FVPUMnQK18AIwZdXcATLvXglGwRa89kT%2F%2BeCvWeKUNIr7b%2Fpdn%2Fd3kUxHVC%2B9P1NKoauvk14gNLtTBZnFqW%2F3om1ngo8BHzaT9Q8Ps4eeEk20%2BB3vo%2FD0prRSwxlqvJdmdv6dQCbuMB%2FoqR9Xm3F3rB8CVyAAvlwC4OANMFwHUzQB3gbokPzh%2F%2FPFNuSlcxK%2BrEeSjELUYLyOqN1WHZmQ3Jza0EBtcEGgx7wp2AkmSGGaURUlymJjHPZB%2FvTH4d%2FbcXPJXS9YenlZaBcRIEBNL%2FJxn%2FlqJg82hnSQGbaTkeLeLydIgJQWcyw1%2F3Rlgan3UVHVUHIGB9lFKWq%2FoKkg%2BKlHdeGtMRlS%2FEMAf7955hpNV1RTFfwKhLYYpkcO0DmK%2BrmlBqNnzfHFgwb9GrQUbJ8GfH9QrCZjh5zReUbZ5C7R4i85IKZIe7iPEdF6tlT9AXV4ZYEHVUupTiqpxGahqZ55COsVyPGjMhsoZUhVuEYUC1cp61BaU31DOpsspEafyWxUrlW4L6tJN2VgB%2Fkghh6a0uX8w5o3nSQ%2F3gYmUcgacyw2v73NLz6HVpxRV41Iy8MtUCVj9ZwDGtNqzRf0TY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8ZujsFqucCyqMe0eRbGjEmI2nhR%2FHG6FDdmTYPuyzRFFsxGn7Euw%2FqXMzQ8LucGaZThkjub4WXQkmmasrIxYyU5%2Bbrm7ksJ6coR7obNoDIUgX%2FNSo1DlOxuxtV32QT8D%2FgMRcKk%2BWOQRvmKgrSGoRNgjuA1djarJcu%2FXfgzuKpUq%2Fx57MRgjX6dmqhhorKyW1sW20ofqz5LDw%2F327dsPDLvLTS%2FWYrnS%2BJoZ1GwrvZM08R4nFand95Qtux%2B0ckDH00N9c6mvpCPkbgwbCAzmsaF1mHFiklUiBnIgGh3SqwTbbyorOjBqK2ZFHhJTaTVuaW4fJ2rVTd4y4ZTvbN%2BMp0C35UdP4prB1cxaw%2Bl%2FL0TQzNd2eM7Wa2VblPeAZe60pFBF%2B0fZbpYyll6%2BDgsJ4J4iTwNEms3SxV4kZ2D3sJd1vkks6V4viSOdhYF67RnmFQjd%2FuTO2%2FwH8n98sJACwjIeqFfVtDa923hbnyiHUjWte%2FLaB3l2FpnLV5UQW6rry2HDCmD4JavQB40nVsq1Dl4S%2BPFxovn1sGysmoFPsUaISwHAaxWdMs6Zfmw1A%2BXwnESbjglb2gUssrpU4QoMuhcUYfLXulhaWfp4fEa7bhGl7gzgLN2s1RVRBlWuGySUcjqhaesV6Vj3e0ZJZJV4OWqZY5xqTSf0p3Cui%2FtvlW%2BEA2lJIZf5p9RFSHC5LQ%2BvLX4EcnVdNd86SDXLMibAkc8FnTfQ%2FelwVvUeFRYbWZ87AO3PKnET9qhr01U2QJ8KHc6zNzjX1jaFQik0%2F5qN3ewtLN08bzlEyC7CkFY382mqnDZJIkaXnhaq1Kx7vakkdXB62qseJTuFObWYPAzFD0R4l6xD%2FEcf2xssSvLl2W7H1HiG9k4HGc4VguHkSv%2BOU3L7wHrL6OqwAeejwCWb%2BgxNHNunWIUmwyhHut0WNncjRfbc4r9yfzXdkXAbCtAXIySZbgcLOUst2PRruI8pyiGwmn1SFZZqnKXpVHDC08VN6Nh3e1JqZE%2BUSVk1SNqVdWGs3w7DEiv2FtiyMLB7rnOrMcjysrG4aEZHKvzAixX6XM3TlQZMQR%2B3dTpbRAmx7uyeycgXK2W45%2B%2BtwuSYu1CS0oSvm845SW3IQ%2BYhYAklapRl5uoz2o6qYcvplJYKSRTeaoW3rN%2FDOSNp%2BsQUrCFRFVnX0T7g%2Bi7psZKz1zR%2FeoStapq306uqNaWU1U7frc%2FtvdPibxomHNz%2FRdk4fXGo32TDjbOKFQNPBbN1V%2BeNMnv3BJiNfj11BbWIKNeTguq9vhOjCU4UWVqRrw3dG%2FnpO5NedvTqepgKWedW6eHL6bS0MzH99x8qrrvwT8G8sbTqUrB5uV13Eenuv3jTO%2FlnZWOF94vfz2jQ1TcoGhkymlmSLrU%2BGPHnoH55tniRzT2jCy87vjz4fWOsmCSRNWew3sneP2jykdfcC81%2BOKJQG0gK9ckalbUSKi8ijPVYQ8ihZAqxakcLOUsoftIv0rSta8PyLiFVF5ReaqibyZJw4kXnkpVGlZ3Vx%2Bn%2FcNM52VNuPh%2BA4%2Fx1zN0oqK9kxCPHLK7QanjNvTO2sFyzN13yaTKNpyNstW%2F7b8g0PKdXDBIwEwlTKoaWDXqkmOoocbnk0CgSEjDgwRai7p8Tlbcyys3V02rwx57%2FK2mqB4XY2ln6eKF4Cq8zuqkyLhVmqrcN2nDiReeGqvQsXqKiPpk9SAqzAw%2FFa9ndOTHWPWR7Tju9cydT6mwWM0I7rA67%2FRdMvzJjV3ZcF6wuCsr8sc%2BwfgTuEGU6NtW2ptF7Xvi5uELkwK0REIuyCaoHi%2FF0s7Sw%2BM1Np%2BDqUHjcnhZI9yVFvd54Sn0o2NLURR0yKrzsqbgfq0AzvC2%2F63q9YzHxSEg7Jk7tkN9HsqD7p0YyHRme%2BY2n4MkTqf8HFZzagv%2BuQF3dXCYWil6xYH9fPotlHcP7Gcrbh7eTVZqxi8fZCtVj72wlLMEyn7Nr8Tb6sUdsmmNl%2FM6X2l4mqMLd7XqaHGfg3I%2Bqemngy3NeKvrvKwput%2Fdt9p50MZSBD0hIOyW08gdBsOsOgX4DopKL2zMFMpJa4fUDsNWQLlu5d0VNxfvNDc14%2Bc4q1r12AtL0UrmKP6cVXiaevGNMXedKV7qoFyf1KOeBvZ6yKrzsqaoY4IGqKkyZszYjeh2qiuHNmbMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmLEym65O7%2FcNb59Dlp1cnvWvuA8FoEYxnda02A2oVVr3SlbMmlyuNM3p9MYZTaf3%2B4YXZ3EZMXp7JrOdWZ36VAp%2FoyzwEUhYfkStC3XBXMGdZ%2FT3fXj%2BPr0rWbHAAuhkTt7Mrobvb5ETbA24WrRYK0al01sani9qw%2F8rU34yL2pW7vK5OPNKG7tyXq3b7%2Bges9SJXQMZSn1Kxe%2BdoOkq2488o%2B0yGtSwJqNK3aPrpWoUBU%2B19k1A4tGvBCMw4BPgpU%2FfW4n6U4nK97ewh4ZY00JeBg11evllhR6QXKfXwbudXYXvnf1kE67f%2FGQTLrClly%2BEoNR4WEUKomYndtHrT7tftKaTHYtIiiR76CUQO5VrGOd0jzfegd9tvIPFkXzy%2BgidZHthoQbeirVeo9QfhcebFqLajkWnhjUcyoum0UJyXVe3%2Bqw9qF%2B5mtHDU0G8E7uGZij4MAggIB6F2W8eVdc1xxdxfwssH%2BsfX1zXbP8CdXqdy6p1eh28%2B5Dju7K49g7Xb%2BKaPRxZaeX3zn58D6eICg8SMCusPVaM1fK19pTyhQCoSpfYqguz3S%2ByBpvejQ%2B91HpN1tBc9xh6QxTlTMP%2FscNbVfUROhd8awUqXjgitpBcV9maXA0uqO9YVGpYgTULzlNrvUYZi3VcHZQx54MgrZ6XcSeO9m2%2FEsSjL%2FEHUb%2BdlFXYlaMqq0HJvUROWteuP1%2BoGlsUI4wNy400%2Fjq9Dl4canzCFRY1nUwQykf5rYEMEnx8AKmtwsO4wkJXezZbdVFGqb%2B4A7UuMYq0JHFGyA7tObTHAodJSGcpXPeY1Q7N4J41sOofPkPDfyPHw3X2WAHcWqHpJBGfIyo8yAYZHgPfkKtzUsl2uTFUagQ%2BSri6bRgRPiqnq%2BPGI4miKK7pCsnpW0amaMRz16n1NfUc1SpqUcq8liaahugm1%2F0mUOqI47vniptMrtNbGt5RlOGqMSr81BCrhyCvmjukGp%2B0FY9YfdNJlc6wwFsFUYQ%2F3nEQqFG9Wg1I6B7z%2B%2BT33ZmV1Qfx1p5WtopFc0KSBLxD1Fo5vulKVEu2ywurogaX23R1gZ2KGXChq8u3uuoLL6lP7%2ByxHbQsLmuhEFVkiXODT0hNZx0RND0tKe8r2L%2Fo%2FZNoMsF%2FuU6vg3f3L3J8V9ZRbj23DkdJVfkBO5OYJ6oSjweEaiys1Bl28O5m8cez%2Fs8G7Zlwv2WPrKj6JBP14LrHVgxHVBxZ8XNCWh%2FET4cxcOdqOgT8mJuocvyxHY4ibqlUVVNDZ5ycGnILx3Zlp4akQezbmLEYmcKYRugSQyvVliOLW0qWuPJUZf0ndjkt1DMHCUTubajTu9R1%2FXV6Hbz7kOMTtpg%2Fzt0wu5UglG%2FL%2F%2FcJotLq4w5o1XgR8Kt1iVn10AwmkxC37qcdi7tflDU01z1mtdDAMDeH%2F2vXnFXVB%2FAwh7ddEEQ61PjmguSHHM9qsWR30C8XHiue2lCooUdVVvPkU47nPPmUXDKoHXWmu2F0tGMa1V4IelncUrLEhW1D1CvU0je0Arz%2BvCOL4wYsfPqBOr3FaRaZTq%2BDd%2Fe6KnwUXnPg3G3lfJRYPu6WktCqj1793TGBXJcYI4HB0825lAkmmKSPJad7LDLAuFWIqj6ID92OLghjMAGPNYF62COqCm%2FrZ4X2TuCj108rqalRyuyTrRCS7yCCrhCVA6IG8xHFLM7My5fFLSVLXPm00u5bU19g%2FXmKqyub%2BmL3rblfOYrrNJ3e0vAio1Wp8iuH586OYXCSfbJJrbjo6B5b800sQqqPLt5OdBHxnODHd6oFSJcE2wRqlOa8rIUH%2FKxFiQy675z6EoWeTNLNEt%2BADDBEWCipa4%2Fatae2uJQLhU5vF1Wn93uGF2dxdXoKUuged2vVp1J4JxDWdRpa4Fua8x7Z3jMnn6V63Xl5srjXkyWuPFWFjmhOW7mm6K71dHq%2Ff3gx4yBjl2P9q%2FVdRgvdr9VCqCJdAWFbSha3mKz6RNW9W2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzVgaDZXN7TCsYM1ZICw1dWVC6QQmPPvtzn72m%2F6DGlfrg%2FDNqWUZc2dpzuOL3PW0xqhwm1PqMVtkZlcJBHsm8P2tcK13GNnkOD%2B%2FvvpO%2BHbsxisPqZ3TdT0lXFzf2Ye9sfDEIq%2BytySDoqfXOxj4kXWUMnTfI2tidv1evSQi8FGU%2F3qbRAUwjleD%2FPh18x%2F%2B98wrtj9KtsQi0Dl3a0gpwsU01Ta0CVY1kSfqyoDYx7f3UoPtlHse8f1m9R%2FDw%2Fu67aO1PoG6H1DPn1a1SOl4QFddrXydZdXVxI%2Bzh53D1IwoQ4kq%2Fh5%2BLqB0y1nilmfHrbD7X%2F09qqq4F2cz1D9hjWZ2y6aaDrJ0hldqhK%2FBzWi%2F87eze1wtEkX3P4TKeoAZBHINZDW2ZlK4AiHASrmMPI8Y8J3i7z1NLeJafYOWmKldbLGV8kY824rdC%2F0gp47aka2qVyNlwmbtEvlUoMnF6eIeoOenV0skqdHFhmS8s6hEKDBIdWlu%2Frwkwzz797NOop9acFxXzf4yBhXhOKWbvxIP7w0Bx1aiHzdH%2BRlXVnb%2BXdxwYKLcXuGE7y4scE%2FAPPtJ8VIYXY3wC1HcHMqDG9xK1ZWlUXSrmIV9clVcFBBkPR3sKjw2n6F2BrF7Q2wWdBd2F38laNczU7bh0fJGPNs5vWUjIzsjr339h6b0Ov6zb%2Fv5PQL897auEuMQLbXleYWvkvxO6uPFF%2FC6%2BqNLFdfSL7nrgrgccXSPZpbmgaFd2%2FCjr7jrULJUd4zYeyfVBk%2BvfiUrnwo3vRmGcFuLeXAsI4oJ3qfhX1%2FSmZXg%2BdqE85%2Bs%2FfP2HttQmaV8WvnGGeusMz%2FCUyV0LZbJSX8Q3CKkRfCYgYxoqj2sV1oA0ZtTxyCxKIKtVl%2FjcGV%2FEaJP4XDEWQaSE7u7oGvmVv%2Fm1pfe6dVy3%2FS2JTFzPnF7n6n4S1FC5aHLDySp0cWEwr4NmVOriOg%2FfTVX5xTsWcdQ%2BtWV0i3W5TdnPWcPWQRE%2BhhiOgOGr%2FikuFCz5oDvJpu9DAtpiHXfbakUHKfjUV7DivsUfzw2FxkbTq0D%2BczSNomUUojZe5LVROW9JfTTIeDz7k9Uu1UI%2FopZC1cLfq%2BsjiJokkRXlSHjsBi54OSyVzGEhrlIIVOhwZxRkNbr%2FiaX3%2BnhCt%2F1lio6P%2FAKyLkw3A0ClKu%2BeChVBc2R1dHQDjwUeU%2BviVlVh4IsHUlV8lo9JCXgYR7YH34MkVK78w%2Bv98a2frJvCG%2BudFSNfnPlJRvdNwoz2X1j1QGb1b%2FfZwlGwSUTN%2Bn9Jsr5JP3z3JY6%2F96Uk23Icf%2BqPFwmlnrkZe5yfifTMRdTbTsS43Bt33pXzsnEYHXHpP9UD7eniRJ3YvX2tfQdvlS9g06OqQ1SxaQmdrPE8Uf1Se1x5WcfpxweK7xRGwZryURVKa2j7yvuc7a9eP1VzOtlFh%2F18HV3c1vxWA%2FIAFSlafEjdanNX9uHnAguRfOlIJ3981O5vkYL78j1kfIPfvGoggyPi%2BVTn%2Fw7aJZ9P4cgJVwj64SGgTiMex3fMMVtpf7xIKL3wU1a9%2Bdzmc6z6hZ%2FaWz3UyYiKgakY4zefs%2BeVMf8HyLO%2Bhf9UXUEgR9Tmj5vssv0zwJWlqkNUGNe7%2BWxSvd2VQ1Y5Uf0cXFYj3Jug8E4H3tOPavzLhzG1L%2B5zjmwAolKVz8kLJV5zMZOujm5V1WrGD6So%2BCy9eH3%2FhWaXtH9X9nxKdUvYGHf%2Bnq1wlO390OdTvbNtLPA8nII3Fg881gaP3%2F8KiIcEyLuv%2FxCdhdVbB8NSPCaUgKJw%2FQf3P7gf7wbJJ9vvLLDQmQWJ745czTsO7O%2FMBhbKNapiSCTkM8cjuBFRkzQDXOy44hn4X4HvpwcZ1z7IL6d5d%2BNPug2nckQNOakf7wSXF1lVRF3q4JgJzonD%2BqSiQHPK5ehd2cG%2FKydVYUx92%2FsMaIOacsxVsRXd3%2BcnN7o6urpzVXxrGylI%2BoBAp%2FThiPFo306%2BcR2eI3%2Fom8%2B1wTiM73mty63gWLLHz8WxI%2Fa2E3f92Qq0MSGV7Z2JxhdSJzfi52bIdePXkxu7sjCK%2Bb6%2F3XAWpCFXiLrDllcrTm3ZcLZco6qgmi2HaW9EJM8Ao%2BPyZ%2FrZoMuFJZ0l77zDkPhtyu1WgF2UzLGcmXLhdyqyylrefb%2F5eZsrE0y7Ck6%2B5G%2FndalqBdp9znh0h%2FSVk6KDKWxTn%2B90dXH1qNp4sfvS6W2gTgd5S8xVqgWgT25EYoNoZn3ra7w%2BzjYa3g%2BddcBmVO8l%2FpD4w8B7h%2FYUpiA88ZCuuAeS%2BtsObWoDvKRGzR9jwm1VvhvDr6vsCKH5Y9%2FyO7B3FYrtOJ6CQGRHuUZVQbX8Jo%2BpgiDJ5xrq0cs9bvBx1TVdaVC8iAj5fad6Duo6uWvivLaR3S28xMqTuwnOmmwqJ1Wbj3rjYXirV4W11A5G1mRaurh6VO2%2BBE5Sk3Mrkogjq%2Fn4HiB3A87AemdpOrewTUIHhMBx%2BL%2BedI36TdAN%2FGwjkKhe1idHmd%2BjjCpe2nTbe42c2NU9p3JF%2FbnqUpO6bp0OUfkkYWRKbMQwMiWfrlTail6KhNTdATzTfmenP9ZP82YqVdde88Y%2F%2FJw6rL1OooqelK4rm2%2B2W%2BBQvlXSc5J851GTu1InXedW8xotTClIDZ1Lv%2BSQng1tWcvVbrVcsb80fVmp61bTRL0LzmjJzfhS8Km66jtnogXVLan7JxCFM2HXoeZNqAxErWijfQcftDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxoz9%2F2u4KsiaNO1gTOYkgWLZCarynNZV6uyy6zRcFwRkdJzX1iee%2F64%2BhRBIyIR81S6W3CtZKy%2BHR53neZrO8zLFT0NXdhn%2BH9PyuTN2Gx0sqydraWHlz8rYyAyt9KVXs7%2BJjBQLTzbfr0X0PUh2BQokTLBsuXhJvoED6LqNFxsvhph9BYoOXl3o2vjRBNN4jJlcMxzU6Azmya41r%2BcgsAakBv9R0VQdJkfnOUHUeV6O%2BLav%2Bv9p5JV9T9zzWzXescZ3caU0LHMMSkrX1kkubXlF1F7rEyWIzRaWJ1YI8UJ%2BvWSB16%2BJzg594yoW%2Fmr3rSqHCX6ZyHUDwY9U5a5rhvWhGVxmhkvQrMwqtq5ZXZvA853ZX3YnSRLZ1suo5rrhFOt%2F9umRqTbSWAaaCJdv%2F%2Bcnn2omdQbN7Mmnbv9nGAX66FQFXZ1v7QXyhNqM%2FsY5lA6rqfNcKr53VkjTlr98EMwJxT6M%2FjryNUUQRvgnSgQNv4nLHP3JnWDutsQDqSHr8kGmr5jYw%2BquIMkKxNnnZX7Ax187qszwETXn17HPiqka%2B4zguOmVi21fJv5P97%2FGGatWadrF3es8FX0iq%2BmdjbrwsGhXOdZYsTb20EsYH1DGow1HhS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2Fy8vL6%2Bvqfn5%2Ft7e339%2Ff29vbo6Ojz8%2FP6%2Bvr19fX19fWmpqbLy8v6%2Bvr4%2BPjT09Pr6%2Bv6%2Bvrr6%2Buqqqrz8%2FPt7e2ioqLPz8%2Fa2trW1taioqLr6%2Bvi4uL5%2BflVVVXNzc3%2F%2F%2F%2FW1tbj4%2BPh4eHq6ur8%2FPz%2F%2F%2F%2F29vb7%2B%2Fvz8%2FP09PTMzMz%2F%2F%2F%2F%2F%2F%2F%2F5%2Bfn19fX%2F%2F%2F%2Fy8vL9%2Ff0AAADZ2dn8%2FPz7%2B%2Fv8%2FPzp6em%2Fv7%2F7%2B%2Fvq6urp6en%2B%2Fv7%2F%2F%2F%2F4ck%2FmAAAA8nRSTlMAGgDUzwIP8SMQ759fCgUvqfDGFeIYA78fbxNTt98%2FhsV%2FBhdD4Q1rRI%2Bvwo3ATxJTD18IoKWasozTETbQ4D40IX5hC6dAMR7RXydvEsRuotKLkZCATYahkzOxQlFqmbZwJiUhFWy1wyJYcXI7gB2XIEFbgjxgiWFtfTSFMy8wSYgEqFBDTSE2KCpnSyZZUaZHRFAsDuWBYJJ7AVZQpC0Z6njBKWjdN4dlMV30iN8bV7%2BzJJeHMRiDYsR6U9yVYxdP2c1dj8CKFZZVFjtaaTxOI9cMKQk4NnBW4PKUOmiNI%2FkwWoQYUdQOSk6GvkUURFSM3n71h14AAB4tSURBVHhe7J2HfyPHmaa%2FYicCDTQCQRAkQWgABpMcDSkOw3CGM5o8Gk2QRjlZOVjBsizbcs5pndb22r7d23ybc7zbdDnnnHPO%2Bd6%2F4FjdIGu6vmp280CtbF%2B%2Fkkn%2Fnip%2BaPSDDqA%2BFOm7J3ncIoDi0NAQkY3d2IaJSws2NNZZnCouduhAsrgf7o4BYy59O4fvn3ROJQKoREkBGKqYytAJCCEQWh220I81TPFIozLaNiCMH4PJr47WIooL1C1isUUsFSwpkMqPAMARDUIFjLcYpj5tGbmqw%2BP6bhz49jZwbZ9S9k8Kd20QQLDdzFbdIz%2FJJ0OFyJFaI6mOcZ6HGOzAGxdi0tN8JL063CmJwi9FviX34m4FUrlxl0PgaBgIbrXJJfVp08yTrbq2tt99bINtCj9p%2F2TiZMMigCzYGa0WxwBgrEjxCBUici56obyLjsF%2B%2Fez8KGLwUdxVJuq9HZcpljX16lgjlaeg8hTpmUVNqubcUjzNKnBbGIBbJS6pT8nMo5ilAms3kxsAbElvsP0DqP2Ttt9KsEYIoBELpWxWDyHMocSDdUiCYMYDvJmAl5sUE%2BcDgiaiLMd6FrTJUmskFaTyEah8JPZsiru8WGL8ouLpx2rfqshkVQix%2Bz%2FOoyRIte64GalXsb5%2FJFX7J4UfxsVI3EUcMyrVrbqAtbVVB1x96q39f4Yo0goYpBJ6EmhWa31nx3WrUmskFaTyJah8iVSofNrqY2umHOeNsyIQ457ksUTnlP0dq4NfVyuLrpTKLlHy0sUp1UASq%2F2Txr2ASAiiwJvNYrVzBLjUbJ4BjlS0qbdE%2F%2FStUgAExAMyWG2jI2EFDd3qujNsWcPOesxquY6d1OOSmiMbId4YCTT%2BBEq0xDjRKACM8mO1HwF2mYm%2BDnRdrRRht5hUmRPHAeD4CdL3jwBEBQ3OheC84VE%2FXi2L1Q9fB14kOgFc%2F%2BzeVgmgJKuVTnzsPSh2iFoncY82uVrw14aH1%2FxCNVbszO4heYa0vDPk30uc%2F%2BOxv2LgBAAGdjSM8R548OvqoxHiUl0bYWyX7R8h1P5J22%2BHUIlAxXSl5FYDeZS67hHgTO%2F%2F2aoPbWy12r9JqFVifFsqsLYGbGtlJyq%2BV2TuBRrA3WTgs%2FAY70S30519XFebg19X3520%2BbakctBO2j%2BZ%2BNt23qsdwduyWCWnjjB1h%2FZvdWkqhPxKVhi3gMamh2Ilhn304xeIaTVJpVlsTp9FLRt3F9DPgvtmX1czbf4FSeXghcT9k4WXLYxtg8oYrLJRKZNTC7XWa7R%2Fq1RDCDfq7RltpDwixPTcjIdii1R87MYnptUktdKYn6Pz89ZSJj6l6k8NcA%2Bc9bqavvmF6jbdHqwW0vYP5%2Fq9dLGo7qVTrY5OXKnXr0yM7m3V%2BFzIAs4S0crEckCmBDOedY1UCmI3%2BtN0LjUucan0yDOycjD8PZk4VJDCB3%2B%2FqmmtSqlc68g2dUYKlLJ%2FUrgzMl73Gu3xESfFqorzwO0OsXiI4kmrCe%2FSRoQ4T3slOK2ea0qa001Tgci0E2TiQkVk5tHooO9XnYJDWcP3TzovT4xOL5dJixDqXz29gHhGRZTRIRogzT2l5mk6b8F%2BG5KhtyB5%2Fj%2B2mie3mie3mlvNk1vNk1vNk1vNk1vNrZbouy65VR8%2BsST3UJbGpopjJYZdoNsFXGOptDrpfAn9LGWvU5xaLJFvmr9Ycu3kzstYuiHrUuaUFsfGFg%2FyQOFa%2BHaCIAeHMNTnPgA%2FwSrnrg3UPPD%2B1R8AHnwQ%2BIEUq7xONv4w%2Brk7ex2vBhRhng9ks%2BoyGAXU6XYrROTzXnTg4PrRW3EAIQQI8tueVn3I%2BGarnNuoz4%2BOztdZ%2F%2Bpl4KWXgMspVnmdbHwWIgxm91XHA7JxiJ1A64jHvJg0WS0CmBqzWf3NLSG2NmGTnopCOm8l8RZKpNsDSbG0l1UfUXyjVcZLqE8EoGCirj1cC%2F20Eq3yOgjrML6wwHgLFoWxUGHzicx1iB4CQJy7Iee7S4biAw4QUM9k1XhodzE%2B1yRqzo2zk3YXkPZaZODoEJl48avVU5pVQQjFJltVUgHfZJX9N%2FDDuJ3Cerdr%2FasvA5icBPByolVeB6yO5B2go%2FOXdzpJLuAVVseuGOv0%2F2M%2Bce6EnO0uIRO3elPbciars9UyhSlXZ%2FkJvoVSCS3OaeNRCTi%2F59j7UGFc0J7XVSWVad2hpv5VEO9fPQXgwx8GcMr4CRybTHWg6ijungJOuRo%2Fhp%2BgMD%2BBw4Y6Xb3OrOSG1BTPdKxCJZNVfJn6%2BbKhTnMcGG9yTv%2B5Zrb6CQT4LLtQEAkBIRKtFgR2IgpZrDa8aEzvX60AQBAAQIVi6bdzEa9jA7aso3FnGph2NA58ncJ8HTBsz5%2FQ69QkD1OM9TmNju7yYsqxmtFqI46fo36eg8HSzwM%2Fb7L3fR6RkYPwfTdzQVBtOklWuT1ulfevCiH0%2FtV7sZt7zd1ovM5F4KKqozgBpHMA6BB1AIDNb0yuGOvIVPAk8YT1BztW3fq5rXMb9fZjcexEEwEHpjPw%2BLjxDPwH2xHgvIIPMy5EBqtCiBSr6f2rswAaQjQAzCbsFVYn2NwMVB3FCWD1AeC9RO8FADb%2FmZ6az7fzcf15%2BWr7BzhWnYnV5irr1gPtWCX9swSbQHOrXN5qck61ByTgfPY9DzUC%2Fs6GICfsbVXCFKtp%2FatL%2FY9pHQKAJUOZyUnwOnNzYR3GhWAcKmDzHbU9GfpsvfcpPsh11ZhNZXVTG5qbt6hJ8l%2FOT%2FeITPyjX6l9kG8mqe0cwGp6%2F%2BrdAHCd6Lr%2BewKopNbh3Gx1kDoET%2FHBrqvGzCmrc6QlGFFA480k3jxdZpsJEoCgeE8lhfdQQ2JocjKj1fT%2B1RoAvJ%2Fo%2FQBQS7fK63CeZjW9TsOrM14dHW%2Br%2Ban6vF3qZbJKyurBpGnQQpicNDY0E4aAXnQC73%2BNh3XZsv5V1ow6RzQnv4%2FyMjJZ6nDO64jMdaZHJxgvUHnZND%2Bh%2FuguHdXmU0KEUF8PPpES0esZG5pJDAkxdDPOk%2FdC5Mmt5smt5smt5smt5lbz5Fbz5Fbz5Fbz5FZzq%2BYGw13usyHXNjcHKKrHZwuvpKWLinmDsECGlAwdND5R2vIg39VWq0atfV5Y14fs2ryIktVqjbUepmUW9zI2CUyes9AlnvJZtEfiaAEL%2B7OabBqJQ619rSnT4jwKiCHaRaD08MdFvVDnWhVXWpm9jFYrEf5AwoYQz1INNQZ7QG91GJfJkH%2BGBzSyghWyJoUAhJi0SIXRAaw292W1eSBWE4uI3YAIGAOYVsWl1sGsvhLhY3FahN6SqXLs0xZKxud5QurmeQee0xGIRnrRD%2FVGFE6iJKIQj0gdYsjI1RCzKhErnWrVj3Hy0Y3OwCDaqx2Ya92%2FVeBYhK8DbLplAbcC7MT2vh%2FEMZPVyhraZAjgMGRe9S2RQiWJg519D%2BoMnPi4e1n1oReZJXLHKtJqNUFrNaZ1EKuzIswstzp%2B6dK44Vm%2B3Ah%2BCmiZ9%2FsDxFNBnX6%2FrTYVHuwMvJBmdcFs1YdmtYp7yLVRdEFUSNBaiGsdwKqKxq0vAF%2BwuNVTn%2B68buH7uQqxdRYnXWL5XXxtYKtChfHEgcHPwKEeSixPJO3BZHVdt1oQc64NwEZM3zqpxPn6%2Bpth9fiLwIvHmdUOwswaVDTPb%2BB%2BYnkYP3dwx2rmu6XWQZyBhdgogHj5XYTChhCm%2BoWqZtXttn4EYW7Wpy%2Beqbi%2FXshk1dqy9mMVH9ja%2BgCY1YcsIcQW0DGp%2BGkcJpYbeGlfVktAaXCrzYM5A6%2FQ3lZpJWE7C9UYr0wBP4kwSh%2BTKrmSmsWqNdwctrhV0Q%2B3ipMnway6eF7usjYe4lZbpRpeIBbge%2FZlVZnI0nyXOjD4PTCHu8hk26tvh6gQ5ypKH5MacSWVW63G9VnDTriYLnNRhEyLdWSaWzLX8AU5%2Fkn98zpXwW6X1Mj%2F0NkCFhKOym0emVgYbKXag74HNtchGGyPTmyH2VbZ1adLVbykpGpW41xKJalV34qd30KwjkxjS2YX4WLXFfY%2BFmEakz3SYpt%2BH7lSXWFHJVud%2BvfXanNAqzxpj1vQpSpeLmQ7VUmpUivrTw9EmDJlyty25SD6oVHD404zqTQiMaOF3R%2FS%2BIboZ6Mw4PrDB3UGFpRchxTkSX3cwePQd0ZW2P8ZNHkvRJ7cap7cap7cam41T241T241T241T241t%2Bq2aOAs0rdVcquuXawYFrpdTF6%2Fl6eDJUqOu0SDxvdpH8mtus8eR9HUnQ3ftK4vANslPSdxisOlKcjZ8uc6jI9Ryzy%2FWKEuq%2BUn9KOHW5VA%2BVASn%2BrQAcR2wy%2FJvAWwoYjyuD4vFDnwTdi33ZhV1z55ybJYx0B9sw2UDOvrRqK0dAHcZ16C2xp2T1ywntO4d3aCcJXPH696M4EPm0s1aQWkISRQPpTEgcUWGQKAkLknBtIRlFbGm6yUokyeHDJyGLT6QKRVTcPJS8P6Wq%2F1ibnlNg4b1tcFwHR3jOunn8KmEGLkhG3fMeJofPR8yQcWXX1%2BuTAa%2BMAFTWpBAKLAtALSEBIoH0riAIrdwa1KEVA2OAfMQyZ5csjM14llHX2tahqOX2PLSr0%2F6kkwrK9r6ts%2BFcKaq1eZix7h%2BAnG%2B4uZr%2Bl8oUK%2B3p3hLiJURVhkjyANgQzUOJTEIWN3BrUqRSgbBs5KKcrlySHOE1tXIq1qGl8V1MPh0KJlWF%2FX0AVYQjuk9xuvb7CGTzB%2BP6w6UL1D4wsoLrLttrEbW7cRjpGR8iFXcaMl3x3UKmxlw8BZKUWZPF6IS%2BVauVSVNjDWHQMu8PWBI6u1%2BEFc%2FaTBNQE7Um3Gf3RrZMIbLzgaf6cHKTV%2Bgr%2BgrF4w2iAj5UNrGmeWpga2GmXNzHkpjbKXsc22v5HUutIAsDbEpao8gCg%2FxtcHJsn19XV%2F7kGE4VafkvVtMF5oEp0ul3QezHhSKvTXYfSpJ%2FY6BSylSKd86A7FjZaqzwxsNXqEOxI4K2WmI2InI3z7fTLGDx93KHxLY5ZKvQ3IbDYN6wMDgLa%2Brnf5i16C1Y%2BMb9cHGJdp%2BpwHMxsFAkjTGg3qUgkYlo7MlA85ihssWZMFZ1Cr1rA6TgycWzVTFcP2%2B4lSh50hoqfkWxopleddFoD6nGl9YAD6%2BrptrB2SuE6xNNClubLjdtFgfDtmHqworrRG72x0qQSEokzUOJTEw7daI71B75akTyXVwFkpTrlVrjVZ6hDRZZy8ZJZKzkUPjTNkWh%2FYsJL%2BxzzIeLfH8Z3YyZ0D8eS2ZSAUlUD5UBIH2qfPD%2F7ORvpUUg2clTJTocK33%2FzOpi91iFqwfvCaQ%2BYEM43H1FjKerzN01UPqJ4O4nj1XAMyjXOrA%2FHktmUgFJVE%2BZBELueNyeVmQk8mZW7dJ2nI5VIljwaZP0Z5uFZzU34kdYiubY2cdygpwbRylLoeb7MwKkSB7ZjVaSEzvToYT25bFkK1IXPKh0LkcD7dowNIVNkx8ugLO%2FY4TddqbsqPpA6R06TvvORxEnDeCzFo8l6IPLnVPLnVPLnV3Gqe3Gqe3Gqe3Gqe3Gpu1dzf%2B5Zx1ShxcPUHT2uqktR9uN%2F4ST9UWThIq65taI95S7gaAsyddTWPzc%2FCB85JnHT3ZdVuUULel2C1UsTCYK8at0XAUMsNrdqm9pi9uQd4%2B5kPq569Prk%2BgOISkaEPeXS%2BDns%2FfJzXJ2oplMnGAoC1fVlV28%2FkGVX529x750BW5YcvgEox7EYrAYAQrL835ICJW09Xq09b5vkNGPi5kYl5jbPHVVmrjQMfqpWI9SE%2FQvTIRB0lnQdEgZlXarw%2BLRVBaTZ4o3opu9XOVQALCVK9%2BaqxkjcTDGT12RqKQBG1Z4eIDgMAEevvlVyGc2%2FYKRScYc8033pmHIxbq1crgZWxPrm4qwyc%2F1CN9D7kCnwfldtxTOPRRxc4j3biuOLqyKOEmGy0apCptTJa7RYRxnTc3yvlFYxWpdRBrDZnPIQvjuYQUQ0QgkgIredTchnOo5PRGufWZH3Y%2BVmPceDUZ12Ac1ld5zt%2FBF1G60MOqkA1CLxZjdPVlo01zkOpM%2BU4b9kpa5oxGyf7%2FGQ2qz5UCyrLyoaSp1V6KKVtKfvirkNEDWCH1khlL74u8Trnl3oTTqXIOXBnbw0mTgSdQ6bXg4zeh7wePrZX0%2FjVsF%2BS8UhqoPEppFhlNkaEAKA3cJJtvi3oYCfWY4a73BUu1Q%2Bri8JBWj0UjbP%2BXsllOPfCRtc7PJ3L%2B8RKMXsd8%2BOKKzgngMmqJ4TWh1xBtSq%2FHtL4j1uyC4vxUiRV449ZKVa5DfNBecmDjHcpjh9FYyM81VSHg5S7XHZXPJBVMe9J2JgXQ0Rvi8ZZf2%2FIARO3Xd93bc5hd4rmOkIYuSASOienWisBf7J2F%2Bl9yMF8oTAfHNHrHHGGq8MOMY5Qqs6D4SqApHUDlY1Uq803IPNGM46xOb3S60F9JIHd5Wa7K%2B5vjcj8B%2Bdbxei9SbE1FPb3yrD%2B3r14ESgmzR%2BUE93xaQC1u8q8D1neA4%2FxOmO%2FUHAqBo67AmKcnMK4B0qIspFqlVY3AGysanRzTgJrppx2l8vvige7W7pmeTPAjGddG%2Br394L19751nJzCFeDpsrEPucjmZ%2BdK%2BIxFhjAbKVZpxYK1osO56MGDlLtcdlc8sFVn%2BHQABKdl735Cf%2B9bwtUQwOBB1g%2BGiYfZSLVKFxuXyBwn5S6X3RUPbpWcJgkx1JS9%2Bwn9vW8lZ82xB1%2BfiU4ZEOYNCqablDXqLlfXGuz1M3kvRJ7vZKt5cqu51Ty51Ty51Ty51Ty51Ty51dxqntyqe5W%2BrZP3A3dhd4g6NrpkSqc7BibV%2FgjtM4twDXRsjIyxYXMI9dUcn7Lk1VdfVd%2FexFSAA18nOXs%2F8GGrhoUF1KzDxOyVbAAvMKv34RNkSGdxbGyxY%2Bb%2F%2Bs84xFKCefnoFoCUngEebT3LoppfjM265ZZb1Lc3Ma94IgbcItsUxlPWSWZWk%2Fty8fyMBXgzzzN5lSkAaH%2BNDdTwx2jM1aC7iDCLrpE%2F0XLZ86kBNZd4mvuwiv5f%2FAwt2sb5yGrV9d3kA8b3GfUN9Yus0YdvTzrn6ySbrZYAWEJYAEqs6tGjkDG8iBrjj8Mj1oh1N71g8xZ6dTLg%2FHvvk1w75Ot13JexOUCoMNvFViQVFzJYnZubU9%2F44svmAyb6ptNCFWHM%2FVvvT9p%2BkdFqtE4y36DIqi%2BtHo6a%2FGp6X64AgNtuAwBBsawB3tnpf6e%2F6Ih%2BE8DCC9p1%2BAjaaABAFUdM%2FE%2F9Zcm1C8%2FHPw5UiMUF4GY8VoWY96zXZfuIQLWQwSoA9S198WX3BqRAH8AN7TBadAv8L36%2Fhp28lO1YbTDbKuaO1cgq%2FKFIJ1yXrwGrrLLzrHX661PsRbfUbQKsTBfWu%2FHRNoAfs9Dl%2FI87KxZ7HWwCm8o1270Zr6vB6T8ddRkqqZmtmhdf5qsJTmktOoVJQCw7hl3%2F09jJV7JZ%2FWAJKsUUq%2FrfgG4AwFNP8fV%2Bj27nttvkV%2F1Qsi4egcwXY%2FzyjxKssFqLVB7Edae%2B9gBQb17Hgzfz49v8d%2FAXiUKuUkLjV4FfbaBkasYDipUYhdj9h7T8QhHe2%2F820TrtzyqX2kjSyhYX7QHmXf%2Bz6KfRzGS1UT4FlXtSra6ryevJ%2Fbp0224ols96zxchU9c3bwrX7wSA10llro7umXcA9TNd1Odi3Jf8E%2BTHOLk1fMZpt53PoObqUtsA2kpryrFakVJPFivqHjijVSa1Ol2VWolpZVKJkqwGHqI8SZmsfrADFXzRZJWvnyyDaoH166afgXuHEMY7wzfvhVUA6N2Mz1i4f0KIiadgndH4kY9b6HU1fh%2FaPXr8ceq1tcWwi965ZQDL57xilmM1%2BszJb9b023sPO9Hu9uqA36n4QDum7gLkbipUgQvEtTKpBCTcqI6KMN4ns1ktPwqVapNb5Vqj62q1wPqB0626dv%2Fm52mHLeiOBypyRHvqbUwtLEyhPezEeRXAn22hGuMdeB%2BLtvpjHjqx%2BqdXZfXK6ul20rHK%2B2%2FDjxTFhIwKwLoiZEbJ2Nb%2BOFvnVH3TtUYbzy35ScveVvCJbFZbUMGXs7yzKURWC0OsHzjdqn18a1rMzwvWDP2xBsZ7D7GVyclZnnzyHe94cnLZ0Xhh8vfwR1%2FU1s4%2BiSj880rLTYrelzeXsxyr0lpAFIyyNd1hXuS6XEeYepmvc6q%2B6c%2BBVYLSKqVyTc9ls3ofVKxeyjrJrBeC9c2mWD0%2B3CQKAmJpPrNVJlisDlFveWJiuUfE%2BGv4B804ryCWCsXSmBfzjf3%2Fbiku1Y2k8pzZ8ABv4wwNFBGlwF4HTYFtDuFks1qDyvNp6yRzq6pvlm%2Fe6ip7uzTs7NFlTGKkTNmzIgKNBCIWbXg6oGA6bclrngJbG9gYZ2VUiNEVh96sCCmdwYQnMCpUmJtC4YB7IRz67kneC5Ent5ont5ont5ont5pbzZNbzZNbzZNbzZNbXZhaiIPcagtRii5ljQsYJy%2B4rnn3dlGkNzH4KFomHIbz0liR9T8fKF%2BcmlqUnMcdA7qUKXt0xNqAbZgeWu3%2FwFfRz4%2BQKa2rLUOTAYoV0%2FK0tg1qceFu7SzMi58i4Ul2i6a9VUzYIWiimdnqm7%2Fu8amv3XPna5LzHEFjck6C9P7kvZrRhICBhVZFNPYw%2BnmYWNzSGH7lGjR6yrhW47OwJbfxLOm53%2FspZhX4w8AFcXTDcJh1pn7jDRAL3viNqY7RK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<div class="container-fluid main-container">
<div id="header">
<h1 class="title">My Facebook network</h1>
<h4 class="author"><em>Benjamin Chan (<a href="https://www.facebook.com/benjamin.ks.chan">https://www.facebook.com/benjamin.ks.chan</a>)</em></h4>
</div>
<div id="TOC">
<ul>
<li><a href="#getting-facebook-network-data">Getting Facebook network data</a></li>
<li><a href="#analysis-questions">Analysis questions</a></li>
<li><a href="#centrality">Centrality</a></li>
<li><a href="#communities">Communities</a></li>
<li><a href="#visualize-the-network">Visualize the network</a></li>
</ul>
</div>
<p>Build off of the first assignment from the Coursera Social Network Analysis course. Below are part of the instructions from the first assignment from that course. After downloading my Facebook network data, I examine centrality and communities in the network using R version 3.1.1 (2014-07-10) with the <code>igraph</code> package. I used the RStudio IDE with Knitr to generate this HTML file. This analysis was run on 2015-01-02 05:51:21.</p>
<div id="getting-facebook-network-data" class="section level2">
<h2>Getting Facebook network data</h2>
<p>The following are instructions for downloading my own GML file is below. These instructions were taken from assignment 1 from the fall 2012 Coursera Social Network Analysis course.</p>
<blockquote>
<p>In order to get your own network, complete the following steps:</p>
<ul>
<li>Go to <a href="http://snacourse.com/getnet"><a href="http://snacourse.com/getnet">http://snacourse.com/getnet</a></a></li>
<li>Choose which user data (e.g. “wall posts count”) you’d like to include, for this assignment no additional data is necessary, but whatever you do download, you can visualize/analyze (profile age rank: oldest profile = highest value, declarative intensity (length of text in fields like activities, books, etc.)</li>
<li>Save the .gml file and load it into Gephi using “File -> Open…”.</li>
</ul>
</blockquote>
<p>Read the GML file.</p>
<pre class="r"><code>setwd("~/GitHub repositories/FacebookNetworkAnalysis")
require(igraph, quietly=TRUE)
G <- read.graph(file="ChanFacebook.gml", format="gml")</code></pre>
<p>My GML file was last modified on 2015-01-02 04:46:21. As of that date, there are 374 nodes.</p>
<p>Create first name and initials vectors from names. I’ll want to use these to label nodes when plotting the network.</p>
<pre class="r"><code>listName <- strsplit(V(G)$label, " ")
nameF <- sapply(listName, head, 1)
nameL <- sapply(listName, tail, 1)
initF <- substr(nameF, 1, 1)
initL <- substr(nameL, 1, 1)
initials <- paste0(initF, initL)
label <- nameF
head(label)</code></pre>
<pre><code>## [1] "Christopher" "David" "Kati" "Carla" "Kevin"
## [6] "Ben"</code></pre>
</div>
<div id="analysis-questions" class="section level2">
<h2>Analysis questions</h2>
<p>I’m interested in two questions:</p>
<ul>
<li>What communities exist in my network?</li>
<li>Who are the people who are “bridges” across communities?</li>
</ul>
</div>
<div id="centrality" class="section level2">
<h2>Centrality</h2>
<p>Here’s a link to <a href="http://en.wikipedia.org/wiki/Centrality">Wikipedia</a> for some background information on centrality.</p>
<p>Calculate <strong>degree</strong> centrality. This ends up not being too useful. Degree is really just a measure of how connected someone is. In Facebook terms, it’s who has the most friends within my network.</p>
<pre class="r"><code>deg <- degree(G)
summary(deg)</code></pre>
<pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0 5 11 16 22 93</code></pre>
<p>The median degree, or number of friends, was 11. The highest number of friends a person in my network has was 93.</p>
<p>Even though I don’t want to focus on degree centrality, let’s see who are the most connected people in my network.</p>
<pre class="r"><code>require(xtable, quietly=TRUE)
lim <- sort(deg, decreasing=TRUE)[round(vcount(G) * 0.05)]
top <- data.frame("Name"=V(G)$label, "Degree"=deg)
top <- subset(top, deg >= lim)
top <- top[order(top$Degree, decreasing=TRUE),]
print(xtable(top, digits=0), type="html", include.rownames=FALSE)</code></pre>
<!-- html table generated in R 3.1.1 by xtable 1.7-4 package -->
<!-- Fri Jan 02 05:51:21 2015 -->
<table border="1">
<tr> <th>
Name
</th> <th>
Degree
</th> </tr>
<tr> <td>
Yassine Diboun
</td> <td align="right">
93
</td> </tr>
<tr> <td>
Todd Janssen
</td> <td align="right">
78
</td> </tr>
<tr> <td>
Glenn Tachiyama
</td> <td align="right">
75
</td> </tr>
<tr> <td>
Jason Leman
</td> <td align="right">
72
</td> </tr>
<tr> <td>
Charles Replogle
</td> <td align="right">
67
</td> </tr>
<tr> <td>
Paul Nelson
</td> <td align="right">
66
</td> </tr>
<tr> <td>
Willie McBride
</td> <td align="right">
65
</td> </tr>
<tr> <td>
Trevor Hostetler
</td> <td align="right">
63
</td> </tr>
<tr> <td>
Sarah Duncan
</td> <td align="right">
62
</td> </tr>
<tr> <td>
Jennifer Love
</td> <td align="right">
62
</td> </tr>
<tr> <td>
Samantha de la Vega
</td> <td align="right">
60
</td> </tr>
<tr> <td>
Kevin Karr
</td> <td align="right">
59
</td> </tr>
<tr> <td>
Anne Crispino-Taylor
</td> <td align="right">
59
</td> </tr>
<tr> <td>
Renee Seker
</td> <td align="right">
56
</td> </tr>
<tr> <td>
Larry Stephens
</td> <td align="right">
56
</td> </tr>
<tr> <td>
Cheri Redwine
</td> <td align="right">
55
</td> </tr>
<tr> <td>
Sean Meissner
</td> <td align="right">
55
</td> </tr>
<tr> <td>
T.J. Ford
</td> <td align="right">
55
</td> </tr>
<tr> <td>
Moe Codino
</td> <td align="right">
54
</td> </tr>
</table>
<p>Calculate <strong>closeness</strong> centrality. Closeness is a measure of how many steps are required to access every other node. It’s a measure of how close a node is to all the action. A person with high closeness, however, doesn’t necessarily have to have very many friends or be in between relationship.</p>
<pre class="r"><code>close <- closeness(G)
summary(close)</code></pre>
<pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 7.17e-06 8.25e-05 8.42e-05 7.81e-05 8.50e-05 8.72e-05</code></pre>
<p>Again, I don’t want to focus on closeness centrality since it’s not really what I’m after in this analysis, so I won’t say anything more about it.</p>
<p>Calculate <strong>betweenness</strong> centrality. I’m going to focus on betweenness since it’s going to get after one of my analysis questions, who are the “bridges” between people and communities? Betweenness is a measure of how often a node is in the pathway between two other nodes. I.e., a person with high betweenness can be a key player in introducing a large group of friends to another large group of friends. Such a person doesn’t necessarily have to have a large number of friends themselves. But they could be in a unique position of influence in the network.</p>
<p>Plot a histogram of betweenness scores.</p>
<pre class="r"><code>require(ggplot2, quietly=TRUE)
btwn <- betweenness(G)
summary(btwn)</code></pre>
<pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0 1 42 513 415 14900</code></pre>
<pre class="r"><code>qplot(btwn, binwidth=1000)</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk Betweenness" /></p>
<p>The absolute value of the scores don’t mean much. But their relative values tell the story. There are a number of people with extremely high betweenness scores. Who are these people? List the 25 of people with the highest betweeness scores.</p>
<pre class="r"><code>rank <- length(btwn) - rank(btwn) + 1
top <- data.frame("Rank"=rank, "Name"=V(G)$label, "Betweenness"=btwn)
lim <- sort(btwn, decreasing=TRUE)[round(vcount(G) * 0.05)]
# top <- subset(top, btwn >= lim)
top <- subset(top, rank <= 25)
top <- top[order(top$Betweenness, decreasing=TRUE),]
print(xtable(top, digits=0), type="html")</code></pre>
<!-- html table generated in R 3.1.1 by xtable 1.7-4 package -->
<!-- Fri Jan 02 05:51:23 2015 -->
<table border="1">
<tr> <th> </th> <th>
Rank
</th> <th>
Name
</th> <th>
Betweenness
</th> </tr>
<tr> <td align="right">
62
</td> <td align="right">
1
</td> <td>
Cat Buckley
</td> <td align="right">
14905
</td> </tr>
<tr> <td align="right">
150
</td> <td align="right">
2
</td> <td>
Heather Fowler
</td> <td align="right">
13894
</td> </tr>
<tr> <td align="right">
299
</td> <td align="right">
3
</td> <td>
Evan Freeman
</td> <td align="right">
10927
</td> </tr>
<tr> <td align="right">
168
</td> <td align="right">
4
</td> <td>
Annie Bencomo
</td> <td align="right">
8748
</td> </tr>
<tr> <td align="right">
82
</td> <td align="right">
5
</td> <td>
Marc Baumgartner
</td> <td align="right">
8019
</td> </tr>
<tr> <td align="right">
86
</td> <td align="right">
6
</td> <td>
Lucia Longoria
</td> <td align="right">
4373
</td> </tr>
<tr> <td align="right">
61
</td> <td align="right">
7
</td> <td>
Yassine Diboun
</td> <td align="right">
4226
</td> </tr>
<tr> <td align="right">
191
</td> <td align="right">
8
</td> <td>
Allison Cox
</td> <td align="right">
3897
</td> </tr>
<tr> <td align="right">
107
</td> <td align="right">
9
</td> <td>
Julie Honse
</td> <td align="right">
3714
</td> </tr>
<tr> <td align="right">
200
</td> <td align="right">
10
</td> <td>
Christopher J. Barker
</td> <td align="right">
3413
</td> </tr>
<tr> <td align="right">
7
</td> <td align="right">
11
</td> <td>
Jeff Waskowiak
</td> <td align="right">
3214
</td> </tr>
<tr> <td align="right">
336
</td> <td align="right">
12
</td> <td>
Henry Barrera
</td> <td align="right">
3096
</td> </tr>
<tr> <td align="right">
185
</td> <td align="right">
13
</td> <td>
Gregory Gourdet
</td> <td align="right">
3004
</td> </tr>
<tr> <td align="right">
179
</td> <td align="right">
14
</td> <td>
Johnny Buell
</td> <td align="right">
2964
</td> </tr>
<tr> <td align="right">
224
</td> <td align="right">
15
</td> <td>
Sandy Bacharach
</td> <td align="right">
2744
</td> </tr>
<tr> <td align="right">
217
</td> <td align="right">
16
</td> <td>
Fernando Viciconte
</td> <td align="right">
2454
</td> </tr>
<tr> <td align="right">
194
</td> <td align="right">
17
</td> <td>
Nadia Khater
</td> <td align="right">
2401
</td> </tr>
<tr> <td align="right">
173
</td> <td align="right">
18
</td> <td>
Glenn Tachiyama
</td> <td align="right">
2297
</td> </tr>
<tr> <td align="right">
20
</td> <td align="right">
19
</td> <td>
Alex Asselin
</td> <td align="right">
2242
</td> </tr>
<tr> <td align="right">
316
</td> <td align="right">
20
</td> <td>
Erin ‘Davis’ Thekkedom
</td> <td align="right">
2134
</td> </tr>
<tr> <td align="right">
127
</td> <td align="right">
21
</td> <td>
Rebecca Ettlinger Waltz
</td> <td align="right">
2129
</td> </tr>
<tr> <td align="right">
243
</td> <td align="right">
22
</td> <td>
Darin Swanson
</td> <td align="right">
2091
</td> </tr>
<tr> <td align="right">
19
</td> <td align="right">
23
</td> <td>
James Wallace
</td> <td align="right">
2048
</td> </tr>
<tr> <td align="right">
22
</td> <td align="right">
24
</td> <td>
Bekah Wolf
</td> <td align="right">
1995
</td> </tr>
<tr> <td align="right">
245
</td> <td align="right">
25
</td> <td>
Nancy Lee
</td> <td align="right">
1964
</td> </tr>
</table>
<p>Plot the association between degree centrality and betweenness centrality. See if there are any highly influential people (betweenness) who also have a high number of friends (degree).</p>
<pre class="r"><code>rsq <- format(cor(deg, btwn) ^2, digits=3)
cntrl <- data.frame(deg, btwn, close)
ggplot(cntrl, aes(x=deg, y=btwn)) +
geom_jitter(alpha=1/2) +
scale_y_log10() +
labs(x="Degree", y="Betweenness") +
annotate("text", label=paste("R-sq =", rsq), x=+Inf, y=1, hjust=1)</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk AssociationCentrality" /></p>
</div>
<div id="communities" class="section level2">
<h2>Communities</h2>
<p>Find communities using the edge betweenness algorithm.</p>
<pre class="r"><code>C <- edge.betweenness.community(G)
sizesOrdered <- sizes(C)[order(sizes(C), decreasing=TRUE)]
sizesOrdered</code></pre>
<pre><code>## Community sizes
## 6 7 15 4 11 1 5 10 17 13 8 9 18 33 2 19 14 23 25 27 34 41 42 3 12
## 88 50 38 29 27 18 14 14 12 11 8 5 5 4 3 3 2 2 2 2 2 2 2 1 1
## 16 20 21 22 24 26 28 29 30 31 32 35 36 37 38 39 40 43 44 45 46 47 48 49 50
## 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## 51 52 53 54
## 1 1 1 1</code></pre>
<pre class="r"><code>maxComm <- 11
commThreshold <- sizesOrdered[maxComm]</code></pre>
<p>There are 11 clearly large communities in my network. <em>Large</em> is defined as having more than 8 people.</p>
<p>Set the 12 community as a <em>junk</em> community.</p>
<pre class="r"><code>C$membership[!(C$membership %in% as.numeric(names(sizesOrdered[1:maxComm])))] <- 999
C$membership <- unclass(factor(C$membership))
table(C$membership)</code></pre>
<pre><code>##
## 1 2 3 4 5 6 7 8 9 10 11 12
## 18 29 14 88 50 8 14 27 11 38 12 65</code></pre>
</div>
<div id="visualize-the-network" class="section level2">
<h2>Visualize the network</h2>
<p>Scale the size of a node’s plotting symbol according to its betweenness centrality score. Scaling is by percentile (75%, 90%, 95%, 97.5%, 99%).</p>
<pre class="r"><code>q <- quantile(btwn, probs=c(0, 0.75, 0.9, 0.95, 0.975, 0.99, 1))
size <- cut(btwn, breaks=q, include.lowest=TRUE, dig.lab=5)
summary(size)</code></pre>
<pre><code>## [0,415] (415,1279] (1279,2171.9] (2171.9,3348.1]
## 280 56 19 9
## (3348.1,8215.8] (8215.8,14905]
## 6 4</code></pre>
<pre class="r"><code>V(G)$size <- unclass(size)</code></pre>
<p>Label the nodes with the top betweenness centrality within each community. This will help make sense of who are the important links between each community.</p>
<pre class="r"><code>labNode <- nameF
labNode[labNode == "Marc"] <- paste(labNode[labNode == "Marc"], initL[labNode == "Marc"]) # Since there's 2 Marcs, paste their last initial to the label
rankWithin <- ave(btwn, C$membership, FUN=function(x) length(x) - rank(x) + 1)
pctWithin <- 7
topWithin <- round(pctWithin / 100 * sizes(C))
message(sprintf("The top %3.1f%% within each community leads to labelling %2.0f nodes.", pctWithin, sum(topWithin)))</code></pre>
<pre><code>## The top 7.0% within each community leads to labelling 28 nodes.</code></pre>
<pre class="r"><code># Need to find a more elegant way to do this
isLabelled1 <- C$membership == 1 & rankWithin <= topWithin[ 1]
isLabelled2 <- C$membership == 2 & rankWithin <= topWithin[ 2]
isLabelled3 <- C$membership == 3 & rankWithin <= topWithin[ 3]
isLabelled4 <- C$membership == 4 & rankWithin <= topWithin[ 4]
isLabelled5 <- C$membership == 5 & rankWithin <= topWithin[ 5]
isLabelled6 <- C$membership == 6 & rankWithin <= topWithin[ 6]
isLabelled7 <- C$membership == 7 & rankWithin <= topWithin[ 7]
isLabelled8 <- C$membership == 8 & rankWithin <= topWithin[ 8]
isLabelled9 <- C$membership == 9 & rankWithin <= topWithin[ 9]
isLabelled10 <- C$membership == 10 & rankWithin <= topWithin[10]
isLabelled11 <- C$membership == 11 & rankWithin <= topWithin[11]
isLabelled12 <- C$membership == 12 & rankWithin <= topWithin[12]
isLabelled <- isLabelled1 | isLabelled2 | isLabelled3 | isLabelled4 | isLabelled5 | isLabelled6 | isLabelled7 | isLabelled8 | isLabelled9 | isLabelled10 | isLabelled11 | isLabelled12
# isLabelledOther <- grepl("Cat$|Jackie|Moi", nameF)
# isLabelled <- isLabelled | isLabelledOther
labNode[!isLabelled] <- NA
# labNode[C$membership != 5 & nameF != "Cat"] <- NA</code></pre>
<p>Create a function for <code>plot.igraph</code>.</p>
<pre class="r"><code>P <- function(vertex.label.cex=1, vertex.label.color="#0000007F") {
set.seed(seed)
plot(C, G,
vertex.label=labNode,
vertex.label.color=vertex.label.color,
vertex.label.dist=1/4,
vertex.label.family="sans",
vertex.label.cex=vertex.label.cex,
vertex.frame.color=NA,
colbar=node.color,
mark.groups=NA,
mark.col=NA,
mark.border=palette,
edge.color=c("#7F7F7F3F", "#FF00003F")[crossing(C, G)+1],
edge.width=1/2
)
}</code></pre>
<p>Show low resolution plot for HTML file. Set the random number seed so when a high resolution version is created, it will have the same layout as this version.</p>
<pre class="r"><code>id <- communities(C)[1:maxComm]
require(RColorBrewer, quietly=TRUE)
palette <- c(brewer.pal(maxComm, "Spectral"), "gray")
node.color <- c(palette[1:maxComm], rep(palette[maxComm + 1], max(C$membership) - maxComm))
seed <- file.info("ChanFacebook.gml")$mtime
P(vertex.label.cex=1)</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk NetworkVisualizationLowRes" /></p>
<p>Create high resolution PNG file for importing into presentations.</p>
<pre class="r"><code>png(filename="NetworkVisualizationHiRes.png", width=12, height=12, units="in", res=600)
P(vertex.label.cex=1/2, vertex.label.color="#000000")
dev.off()</code></pre>
<pre><code>## pdf
## 2</code></pre>
<p>Create a data frame of the network.</p>
<pre class="r"><code>D <- data.frame(name=paste(nameF, nameL), comm=C$membership, isLabelled, btwn, close, deg)
D[order(D$comm, !D$isLabelled), ]</code></pre>
<pre><code>## name comm isLabelled btwn close deg
## 30 Judy Kroone 1 TRUE 1.271e+03 8.443e-05 17
## 1 Christopher Chan 1 FALSE 6.521e+00 8.214e-05 13
## 3 Kati Wu 1 FALSE 7.949e-01 8.214e-05 13
## 16 Eric Chan 1 FALSE 2.652e+00 8.216e-05 16
## 17 Derek Chan 1 FALSE 2.652e+00 8.216e-05 16
## 23 é³ä¸æº é³ä¸æº 1 FALSE 1.590e+00 8.214e-05 14
## 45 Jason Wu 1 FALSE 1.868e+00 8.215e-05 15
## 93 Jeannie Wu 1 FALSE 3.929e-01 8.212e-05 11
## 97 Kiyomi Ueno 1 FALSE 1.111e+00 8.214e-05 13
## 103 Jocelyn Chan 1 FALSE 9.417e+02 8.442e-05 15
## 111 Vania Ng 1 FALSE 3.020e-01 8.212e-05 11
## 116 Chris Sing 1 FALSE 3.020e-01 8.212e-05 11
## 143 Carter Ng 1 FALSE 2.652e+00 8.216e-05 16
## 151 Anna Liao 1 FALSE 1.115e+03 8.443e-05 17
## 178 Brian Chan 1 FALSE 2.000e-01 8.212e-05 10
## 271 Amy Lim 1 FALSE 6.560e+01 8.433e-05 3
## 279 Mable Cheung 1 FALSE 8.867e+02 8.441e-05 14
## 322 Karen Ng 1 FALSE 4.068e-01 8.212e-05 10
## 106 Marc Frommer 2 TRUE 1.211e+03 8.562e-05 33
## 264 Roger Chou 2 TRUE 9.850e+02 8.554e-05 24
## 5 Kevin Douglas 2 FALSE 3.862e+01 8.488e-05 25
## 25 Craig Dickson 2 FALSE 9.431e+01 8.495e-05 31
## 46 Michael Samarelli 2 FALSE 3.468e+02 8.400e-05 11
## 112 Kathy Klass 2 FALSE 6.370e-01 8.365e-05 12
## 133 Juli Danielle 2 FALSE 2.210e+01 8.479e-05 16
## 146 Steve Walters 2 FALSE 4.846e+02 8.511e-05 46
## 165 Christopher Warren 2 FALSE 8.893e+02 8.544e-05 28
## 166 Steven Yee 2 FALSE 9.309e+01 8.473e-05 28
## 183 May Cheng 2 FALSE 5.176e-01 8.361e-05 10
## 184 Matt Hagen 2 FALSE 1.982e+02 8.503e-05 38
## 190 Donald Mukai 2 FALSE 2.607e+00 8.454e-05 11
## 210 Andy Fritz 2 FALSE 1.374e+01 8.461e-05 19
## 215 Bob Martin 2 FALSE 1.027e+01 8.376e-05 20
## 216 Roger Michel 2 FALSE 2.879e+01 8.475e-05 22
## 219 Dave Mari 2 FALSE 2.498e+01 8.460e-05 17
## 227 Patti Krebsbach 2 FALSE 4.814e+01 8.468e-05 25
## 231 Eric Barnes 2 FALSE 1.626e+02 8.496e-05 37
## 239 David Spooner 2 FALSE 2.343e+00 8.394e-05 14
## 246 Terry Sentinella 2 FALSE 3.831e+02 8.503e-05 44
## 258 Ginger Gruber 2 FALSE 1.071e+01 8.400e-05 21
## 275 Alvin Crain 2 FALSE 1.109e+02 8.493e-05 32
## 280 Van Phan 2 FALSE 4.584e+01 8.488e-05 28
## 296 Shannon Willford 2 FALSE 1.053e+01 8.406e-05 15
## 298 Russ Smith 2 FALSE 2.251e+00 8.394e-05 14
## 311 Bill Barmore 2 FALSE 4.954e+00 8.403e-05 16
## 358 Lisa Wood 2 FALSE 2.419e+01 8.470e-05 19
## 371 Stevie Lopez 2 FALSE 8.062e+01 8.491e-05 26
## 62 Cat Buckley 3 TRUE 1.491e+04 8.674e-05 35
## 6 Ben Aldred 3 FALSE 0.000e+00 8.423e-05 2
## 20 Alex Asselin 3 FALSE 2.242e+03 8.595e-05 4
## 38 Kelly McCarthy 3 FALSE 0.000e+00 8.424e-05 3
## 87 Mark Hernandez 3 FALSE 3.257e+02 8.492e-05 3
## 88 Aaron Buckley 3 FALSE 5.914e+01 8.485e-05 8
## 148 Heather Sutch 3 FALSE 0.000e+00 8.422e-05 1
## 169 Elizabeth Buckley 3 FALSE 4.258e+01 8.485e-05 7
## 221 Conn Buckley 3 FALSE 4.916e+01 8.485e-05 7
## 232 Jackie Kersten 3 FALSE 1.600e+03 8.578e-05 5
## 273 Lea Davis 3 FALSE 5.000e-01 8.426e-05 6
## 335 Kelly Anne 3 FALSE 0.000e+00 8.422e-05 1
## 365 Setsuko Buckley 3 FALSE 0.000e+00 8.425e-05 5
## 366 Yumin Buckley 3 FALSE 0.000e+00 8.425e-05 5
## 7 Jeff Waskowiak 4 TRUE 3.214e+03 8.561e-05 30
## 61 Yassine Diboun 4 TRUE 4.226e+03 8.686e-05 93
## 82 Marc Baumgartner 4 TRUE 8.019e+03 8.619e-05 32
## 173 Glenn Tachiyama 4 TRUE 2.297e+03 8.592e-05 75
## 185 Gregory Gourdet 4 TRUE 3.004e+03 8.620e-05 37
## 243 Darin Swanson 4 TRUE 2.091e+03 8.529e-05 22
## 9 Jason Leman 4 FALSE 9.600e+02 8.604e-05 72
## 14 David Herron 4 FALSE 9.910e+00 8.526e-05 14
## 21 Ben Blessing 4 FALSE 4.908e+01 8.496e-05 23
## 32 Dana Katz 4 FALSE 2.138e+01 8.483e-05 40
## 37 Willie McBride 4 FALSE 1.170e+03 8.642e-05 65
## 52 Gary Robbins 4 FALSE 4.635e+02 8.511e-05 25
## 54 Desiree Marek 4 FALSE 3.189e+02 8.581e-05 51
## 57 Alessandra Novak 4 FALSE 6.700e+02 8.499e-05 21
## 64 Jocelyn Nelson 4 FALSE 1.061e+02 8.566e-05 31
## 67 Rhiannon Wood 4 FALSE 3.936e+00 8.470e-05 24
## 68 Jeremy Hurl 4 FALSE 4.440e+00 8.481e-05 25
## 72 Marta Fisher 4 FALSE 1.378e+01 8.484e-05 34
## 78 Neil Baker 4 FALSE 2.911e+01 8.511e-05 22
## 100 Mac Smith 4 FALSE 1.100e+01 8.473e-05 15
## 105 Christine An 4 FALSE 9.291e+01 8.508e-05 13
## 115 Sarah Bradham 4 FALSE 2.151e+02 8.592e-05 43
## 118 Jason Fedchak 4 FALSE 0.000e+00 8.448e-05 8
## 121 Sarah Shea 4 FALSE 1.397e+01 8.418e-05 7
## 123 Jennifer Allen 4 FALSE 9.087e+01 8.551e-05 27
## 124 Mary Ramsay 4 FALSE 1.896e+01 8.496e-05 25
## 126 Cheri Redwine 4 FALSE 4.177e+02 8.524e-05 55
## 129 Sean Meissner 4 FALSE 6.596e+02 8.545e-05 55
## 130 Kevin Karr 4 FALSE 6.684e+02 8.612e-05 59
## 134 Sara Lee 4 FALSE 2.623e+01 8.501e-05 29
## 145 Andrea Jarzombek-Holt 4 FALSE 2.517e+02 8.606e-05 52
## 154 T.J. Ford 4 FALSE 6.740e+02 8.593e-05 55
## 156 Olga King 4 FALSE 8.093e-01 8.435e-05 8
## 158 Leslie Gerein 4 FALSE 9.801e-01 8.387e-05 9
## 161 Heather McGrath 4 FALSE 4.180e+02 8.587e-05 37
## 172 Charles Replogle 4 FALSE 1.165e+03 8.624e-05 67
## 174 Diana Bartolus 4 FALSE 1.856e+02 8.530e-05 27
## 176 Renee Seker 4 FALSE 5.488e+02 8.635e-05 56
## 181 Joshua Marks 4 FALSE 2.481e+01 8.480e-05 10
## 186 Joel Dippold 4 FALSE 1.370e+03 8.583e-05 13
## 187 Leif Rustvold 4 FALSE 1.422e+00 8.472e-05 9
## 196 Sarah Duncan 4 FALSE 8.437e+02 8.610e-05 62
## 206 Paul Nelson 4 FALSE 6.199e+02 8.618e-05 66
## 208 Katie Christianson 4 FALSE 1.665e+02 8.563e-05 53
## 213 Hugh Davis 4 FALSE 1.191e+02 8.554e-05 41
## 214 Gregg Webber 4 FALSE 5.044e+01 8.501e-05 13
## 226 Robert Orcutt 4 FALSE 4.006e+01 8.473e-05 15
## 228 Nancy Innis 4 FALSE 0.000e+00 8.422e-05 5
## 229 Mike Davis 4 FALSE 3.197e+02 8.595e-05 51
## 230 Julie Thomas 4 FALSE 4.393e+02 8.565e-05 49
## 234 Moises Lucero 4 FALSE 1.664e+03 8.581e-05 21
## 237 Josh Owen 4 FALSE 5.224e+01 8.490e-05 22
## 238 Jesse Cox 4 FALSE 6.946e+00 8.496e-05 21
## 241 Matt Helms 4 FALSE 9.668e+01 8.565e-05 44
## 252 Angela Drake 4 FALSE 1.318e-01 8.447e-05 9
## 253 Nathan Herzog 4 FALSE 6.164e+01 8.478e-05 15
## 261 Jeannie Horton 4 FALSE 1.336e+03 8.593e-05 46
## 265 Ronda Sundermeier 4 FALSE 4.031e+02 8.575e-05 40
## 268 Jeff Boggess 4 FALSE 2.662e+02 8.598e-05 51
## 272 Samantha Vega 4 FALSE 6.353e+02 8.620e-05 60
## 276 Pam Smith 4 FALSE 1.941e+02 8.549e-05 37
## 291 Jim Kennedy 4 FALSE 1.188e+01 8.495e-05 35
## 292 Syd Long 4 FALSE 9.132e+01 8.549e-05 31
## 293 Todd Janssen 4 FALSE 1.887e+03 8.666e-05 78
## 297 Brian Janecek 4 FALSE 1.606e+02 8.570e-05 43
## 305 John Liebeskind 4 FALSE 1.603e+00 8.460e-05 9
## 314 Anne Crispino-Taylor 4 FALSE 6.855e+02 8.598e-05 59
## 315 Pete Savage 4 FALSE 2.398e+01 8.483e-05 9
## 318 Trevor Hostetler 4 FALSE 4.354e+02 8.585e-05 63
## 323 Brandon Drake 4 FALSE 3.565e+02 8.601e-05 46
## 324 Jeff McAlpine 4 FALSE 2.573e+02 8.526e-05 32
## 326 Silvia Reyes 4 FALSE 2.983e+01 8.531e-05 29
## 329 Justin Huggins 4 FALSE 1.136e+01 8.492e-05 18
## 331 Eric Lubell 4 FALSE 1.577e+02 8.558e-05 39
## 334 Rikilynn Mclenithan 4 FALSE 4.320e+01 8.522e-05 29
## 337 Rick Kneedler 4 FALSE 9.523e+01 8.541e-05 34
## 342 Mike Burke 4 FALSE 4.471e+01 8.488e-05 23
## 345 David Chilson 4 FALSE 0.000e+00 8.426e-05 6
## 346 Ricky Bartolus 4 FALSE 1.947e-01 8.461e-05 12
## 348 Larry Stephens 4 FALSE 4.323e+02 8.610e-05 56
## 356 Megan Bruce 4 FALSE 4.202e+01 8.512e-05 38
## 360 Scott Dumdi 4 FALSE 2.429e+00 8.477e-05 21
## 361 Moe Codino 4 FALSE 1.448e+02 8.553e-05 54
## 362 Juliano Wilson 4 FALSE 2.101e-01 8.462e-05 8
## 368 Dennis Gamroth 4 FALSE 1.033e+01 8.456e-05 14
## 369 Jennifer Love 4 FALSE 4.757e+02 8.615e-05 62
## 370 Keith Shishido 4 FALSE 1.604e+01 8.487e-05 18
## 373 Avery McCombs 4 FALSE 3.145e+01 8.471e-05 16
## 8 Colleen Schoonover 5 TRUE 1.067e+03 8.338e-05 19
## 299 Evan Freeman 5 TRUE 1.093e+04 8.488e-05 21
## 316 Erin Thekkedom 5 TRUE 2.134e+03 8.304e-05 8
## 332 Marcus Fischer 5 TRUE 1.771e+03 8.337e-05 19
## 31 Justin Kim 5 FALSE 2.439e+01 8.157e-05 13
## 44 Ashlyn Jaswal 5 FALSE 1.588e+00 8.078e-05 4
## 51 Ankit Upadhyayula 5 FALSE 6.213e+02 8.331e-05 29
## 59 Kim Huynh 5 FALSE 5.995e+02 8.335e-05 28
## 73 Victor So 5 FALSE 3.120e+01 8.132e-05 24
## 74 Dakota McMillan 5 FALSE 2.082e+02 8.157e-05 27
## 77 Jon Anderson 5 FALSE 3.643e+02 8.324e-05 23
## 79 Donovan Tran 5 FALSE 4.709e+02 8.304e-05 24
## 83 Kellyn Christison 5 FALSE 5.377e+02 8.207e-05 10
## 94 Megan Baxter 5 FALSE 6.110e+02 8.333e-05 14
## 153 Grace Xia 5 FALSE 2.333e+02 8.299e-05 22
## 155 Christina Hsu 5 FALSE 5.084e+02 8.326e-05 24
## 175 Bre Ongley 5 FALSE 6.259e+01 8.145e-05 15
## 177 Kyle Yasumiishi 5 FALSE 3.703e+01 8.163e-05 21
## 189 Cathy Dinh 5 FALSE 3.155e+02 8.122e-05 11
## 193 Danny Cohen 5 FALSE 1.051e+03 8.337e-05 31
## 198 Ydali Olivera 5 FALSE 1.121e+01 8.151e-05 9
## 204 Sean Morrison 5 FALSE 2.852e+01 8.127e-05 3
## 211 Nicki Parker 5 FALSE 4.702e+02 8.290e-05 12
## 254 Jordan Brazda 5 FALSE 2.130e+02 8.315e-05 10
## 256 Eric Kim 5 FALSE 1.509e+02 8.185e-05 24
## 263 Paige Singhose 5 FALSE 3.871e+02 8.321e-05 17
## 289 Briana Chui 5 FALSE 1.019e+02 8.109e-05 4
## 294 Nick Cropley 5 FALSE 6.510e+02 8.308e-05 26
## 295 Megan Schermerhorn 5 FALSE 2.515e+02 8.302e-05 22
## 300 Nick Hartley 5 FALSE 1.468e+00 8.111e-05 5
## 303 Allison Rogers 5 FALSE 6.650e+01 8.177e-05 17
## 306 DjBlast Sanchez 5 FALSE 2.456e+02 8.297e-05 12
## 308 Mindy Kirschbaum 5 FALSE 6.148e+02 8.147e-05 7
## 309 Jordan LeBle 5 FALSE 4.082e+01 8.289e-05 11
## 310 Will Kent 5 FALSE 1.563e+01 8.129e-05 19
## 313 Brian Grimsted 5 FALSE 5.882e-02 8.127e-05 4
## 317 Garrett Mann 5 FALSE 5.091e+01 8.153e-05 11
## 321 Brady Ogden 5 FALSE 1.743e+02 8.294e-05 11
## 327 Carly DeLapp 5 FALSE 3.594e+02 8.315e-05 17
## 330 Kyle Shorter 5 FALSE 5.147e+00 8.149e-05 7
## 338 Marcus Kwon 5 FALSE 4.657e+00 8.118e-05 8
## 339 Eryn Sych 5 FALSE 4.290e+01 8.163e-05 20
## 341 Vlad Shapoval 5 FALSE 3.628e+02 8.304e-05 24
## 343 Kaitie Doupé 5 FALSE 2.831e+02 8.317e-05 15
## 347 McKenna Spieth 5 FALSE 1.324e+02 8.155e-05 25
## 349 Lauren Marshall 5 FALSE 4.156e+01 8.120e-05 9
## 351 Sierra Monaco 5 FALSE 8.768e+01 8.266e-05 5
## 352 Connor Brennan 5 FALSE 1.093e+00 8.117e-05 8
## 353 Shane Brennan 5 FALSE 8.831e+00 8.131e-05 21
## 372 Kyle Shorter 5 FALSE 4.690e+00 8.114e-05 7
## 194 Nadia Khater 6 TRUE 2.401e+03 8.465e-05 9
## 10 Krystle Flerchinger 6 FALSE 1.736e+01 8.177e-05 6
## 11 Justin Pierce 6 FALSE 3.529e+01 8.296e-05 7
## 15 Amanda Smith 6 FALSE 1.198e+02 8.303e-05 9
## 24 Melissa Holmes 6 FALSE 3.285e+01 8.289e-05 8
## 95 Ryan Alice 6 FALSE 4.558e+01 8.291e-05 9
## 225 Thomas Gehrke 6 FALSE 3.463e+01 8.281e-05 8
## 240 Kellie Kutkey 6 FALSE 5.903e+01 8.277e-05 6
## 19 James Wallace 7 TRUE 2.048e+03 8.155e-05 7
## 13 Theresa Nguyen 7 FALSE 2.977e+02 8.041e-05 2
## 28 Julie Bergstrom 7 FALSE 3.333e-01 7.937e-05 4
## 66 Annette Vu 7 FALSE 6.533e+00 7.834e-05 2
## 80 Natalie Jacuzzi 7 FALSE 0.000e+00 8.040e-05 2
## 128 Carter Wallace 7 FALSE 0.000e+00 7.936e-05 3
## 139 Diane Doctor 7 FALSE 0.000e+00 8.040e-05 2
## 149 Todd Bates 7 FALSE 0.000e+00 7.729e-05 2
## 202 Katy Smith 7 FALSE 2.231e+02 7.939e-05 7
## 245 Nancy Lee 7 FALSE 1.964e+03 8.263e-05 6
## 269 Patty Lewis 7 FALSE 7.567e+00 7.939e-05 4
## 282 Marie Bates 7 FALSE 1.702e+02 7.937e-05 5
## 287 Kim Peterson 7 FALSE 0.000e+00 8.040e-05 2
## 301 Miranda Pappas 7 FALSE 7.482e+01 8.047e-05 6
## 22 Bekah Wolf 8 TRUE 1.995e+03 8.572e-05 22
## 336 Henry Barrera 8 TRUE 3.096e+03 8.527e-05 9
## 18 Donnie Drobny 8 FALSE 1.525e+02 8.480e-05 15
## 26 Nikki O'Brien 8 FALSE 5.380e-01 8.347e-05 11
## 41 Heather Wiese 8 FALSE 0.000e+00 8.457e-05 3
## 50 Carrie Yerton 8 FALSE 1.283e+03 8.442e-05 18
## 58 Chris Frazier 8 FALSE 4.471e-01 8.345e-05 8
## 69 Nicholas Burnett 8 FALSE 0.000e+00 8.293e-05 4
## 75 Jeffrey Prescott 8 FALSE 1.757e+01 8.390e-05 13
## 104 Nathan Enns 8 FALSE 6.506e+02 8.488e-05 21
## 109 Greg Pugh 8 FALSE 2.110e+02 8.477e-05 17
## 122 Kimberly Livesay 8 FALSE 6.121e+02 8.470e-05 19
## 140 Samantha Johnson 8 FALSE 1.298e+02 8.402e-05 10
## 144 Amy McBride 8 FALSE 1.477e+01 8.396e-05 14
## 163 Mike Klausman 8 FALSE 6.512e+02 8.489e-05 23
## 197 Micah Wiese 8 FALSE 1.558e+03 8.507e-05 21
## 205 Kieffer Tarbell 8 FALSE 3.440e+02 8.488e-05 22
## 222 Julie Hurliman 8 FALSE 3.103e+01 8.393e-05 17
## 251 Tonia Gebhart 8 FALSE 2.261e+01 8.393e-05 17
## 255 Debbie Tavares 8 FALSE 9.021e+01 8.400e-05 20
## 257 Heidi Baney 8 FALSE 7.847e+02 8.422e-05 11
## 278 Nathan Conant 8 FALSE 1.672e+02 8.483e-05 15
## 290 Micah Stickler 8 FALSE 7.692e-02 8.336e-05 9
## 319 Bryan Agee 8 FALSE 0.000e+00 8.247e-05 1
## 350 Heidi Baney 8 FALSE 6.534e+01 8.425e-05 7
## 355 Jennifer Waters 8 FALSE 3.895e+01 8.392e-05 15
## 374 Heidi Baney 8 FALSE 1.873e+02 8.369e-05 7
## 191 Allison Cox 9 TRUE 3.897e+03 8.511e-05 10
## 29 Carolina Main 9 FALSE 1.701e+03 8.278e-05 5
## 33 Linda Jones 9 FALSE 0.000e+00 8.128e-05 1
## 65 Elissa Kevrekian 9 FALSE 1.938e+03 8.457e-05 4
## 76 Reniera Eddy 9 FALSE 4.068e+02 8.362e-05 5
## 96 Dan Lankow 9 FALSE 5.000e-01 8.271e-05 3
## 159 Eric Main 9 FALSE 0.000e+00 8.274e-05 3
## 182 Skye Macalester 9 FALSE 0.000e+00 8.273e-05 2
## 192 Michael Cox 9 FALSE 5.102e+02 8.366e-05 6
## 207 James Kalashnikov 9 FALSE 0.000e+00 8.270e-05 2
## 333 Cory Eddy 9 FALSE 0.000e+00 8.271e-05 2
## 107 Julie Honse 10 TRUE 3.714e+03 8.648e-05 13
## 150 Heather Fowler 10 TRUE 1.389e+04 8.657e-05 5
## 168 Annie Bencomo 10 TRUE 8.748e+03 8.715e-05 20
## 35 Giovanni Bencomo 10 FALSE 8.581e+02 8.594e-05 11
## 36 Rick Rezinas 10 FALSE 5.461e+02 8.571e-05 10
## 47 Gary Blessington 10 FALSE 1.534e+02 8.581e-05 7
## 53 Stephanie Bolson 10 FALSE 2.727e+01 8.563e-05 8
## 55 Keely Phillips 10 FALSE 0.000e+00 8.499e-05 4
## 60 Eric Virshbo 10 FALSE 1.076e+00 8.353e-05 5
## 84 Melissa Hovis 10 FALSE 2.927e+01 8.443e-05 10
## 85 Amy Harris 10 FALSE 8.163e+02 8.584e-05 25
## 89 Kate Horspool 10 FALSE 3.550e+02 8.599e-05 6
## 91 Dustin Harris 10 FALSE 6.232e+02 8.580e-05 21
## 92 Alicia Fuentes 10 FALSE 3.324e+02 8.456e-05 15
## 99 Susan Kucera 10 FALSE 4.954e+00 8.434e-05 7
## 102 Dave Horspool 10 FALSE 0.000e+00 8.488e-05 4
## 108 Thomas O'Leary 10 FALSE 2.917e-01 8.384e-05 6
## 120 Debbie Ginzburg 10 FALSE 9.723e+00 8.406e-05 6
## 127 Rebecca Waltz 10 FALSE 2.129e+03 8.634e-05 26
## 131 Rachel Prewitt 10 FALSE 7.648e+02 8.568e-05 11
## 137 Nedra Rezinas 10 FALSE 1.249e+03 8.579e-05 14
## 138 Brent Harris 10 FALSE 3.704e-01 8.417e-05 6
## 164 Amara Zee 10 FALSE 2.419e+01 8.467e-05 10
## 167 Michael Mouton 10 FALSE 4.788e+00 8.430e-05 8
## 179 Johnny Buell 10 FALSE 2.964e+03 8.587e-05 21
## 199 Holly Fraser-Witt 10 FALSE 7.138e+01 8.560e-05 5
## 200 Christopher Barker 10 FALSE 3.413e+03 8.616e-05 32
## 203 Jason Post 10 FALSE 1.660e+00 8.460e-05 5
## 242 Tracy Meese 10 FALSE 0.000e+00 8.488e-05 4
## 259 Mike Smith 10 FALSE 0.000e+00 8.375e-05 2
## 260 Matt Love 10 FALSE 9.098e+02 8.481e-05 20
## 262 Laura Davis 10 FALSE 9.012e-01 8.426e-05 7
## 266 Sher Sinda 10 FALSE 2.000e-01 8.422e-05 6
## 274 John Stevens 10 FALSE 2.714e-01 8.431e-05 5
## 320 Sean Politz 10 FALSE 1.580e+02 8.566e-05 11
## 325 David Dvorak 10 FALSE 8.480e+02 8.545e-05 15
## 344 Sarah Dyste 10 FALSE 1.250e-01 8.431e-05 5
## 363 Chanda Gandhi 10 FALSE 4.303e+00 8.430e-05 7
## 86 Lucia Longoria 11 TRUE 4.373e+03 8.490e-05 16
## 42 Richmond Fontaine 11 FALSE 0.000e+00 8.258e-05 6
## 90 Angie Burr 11 FALSE 0.000e+00 8.250e-05 2
## 110 Cheryl Ann 11 FALSE 1.167e+01 8.313e-05 5
## 125 Matt Moore 11 FALSE 7.592e+01 8.322e-05 12
## 141 Marne Manoukian 11 FALSE 6.500e+02 8.544e-05 5
## 170 Kristen Broyer 11 FALSE 8.580e+01 8.371e-05 9
## 217 Fernando Viciconte 11 FALSE 2.454e+03 8.374e-05 10
## 247 Pixelface Creative 11 FALSE 2.583e+00 8.257e-05 4
## 277 Jolene Kawecki 11 FALSE 9.778e+00 8.317e-05 7
## 284 Megan Brown 11 FALSE 1.598e+01 8.318e-05 8
## 286 Stacy Benjamin 11 FALSE 1.667e-01 8.259e-05 7
## 162 Dawn Jones-Redstone 12 TRUE 1.396e+03 8.455e-05 2
## 201 Mandy Wilson 12 TRUE 1.090e+03 8.637e-05 5
## 224 Sandy Bacharach 12 TRUE 2.744e+03 8.615e-05 7
## 250 Ann Wallace 12 TRUE 1.723e+03 8.581e-05 8
## 281 Frances Favela 12 TRUE 1.364e+03 8.054e-05 3
## 2 David Allamon 12 FALSE 0.000e+00 8.493e-05 3
## 4 Carla Owen 12 FALSE 0.000e+00 8.336e-05 5
## 12 Naomi Fishman 12 FALSE 6.860e+02 7.840e-05 3
## 27 Erica Allison 12 FALSE 0.000e+00 7.168e-06 0
## 34 Tina Slee 12 FALSE 0.000e+00 8.114e-05 1
## 39 Makiko Yamashita 12 FALSE 3.440e+02 8.347e-05 2
## 40 Amy Begley 12 FALSE 5.135e+00 8.472e-05 7
## 43 Nic Lamb 12 FALSE 0.000e+00 8.368e-05 1
## 48 Orna Izakson 12 FALSE 0.000e+00 8.259e-05 3
## 49 Elizabeth Cole 12 FALSE 0.000e+00 8.368e-05 1
## 56 Shawn Mullaly 12 FALSE 0.000e+00 8.269e-05 1
## 63 Caroline Kobin 12 FALSE 4.250e+02 8.598e-05 4
## 70 Vincent Granville 12 FALSE 0.000e+00 7.188e-06 1
## 71 Jack Cheng 12 FALSE 0.000e+00 8.164e-05 1
## 81 Mark Novak 12 FALSE 8.184e+01 8.386e-05 5
## 98 Ann Visan 12 FALSE 0.000e+00 7.188e-06 1
## 101 Susan Kelley 12 FALSE 8.287e+02 8.570e-05 7
## 113 Keith Parks 12 FALSE 0.000e+00 8.337e-05 4
## 114 Nicole Busto 12 FALSE 3.440e+02 7.635e-05 2
## 117 Julie Fukuda 12 FALSE 0.000e+00 7.188e-06 1
## 119 Ramona DeNies 12 FALSE 0.000e+00 7.168e-06 0
## 132 Kristen Backeberg 12 FALSE 1.790e+02 8.576e-05 6
## 135 Aviva Brown 12 FALSE 0.000e+00 8.259e-05 3
## 136 Urko Larrakoetxea 12 FALSE 0.000e+00 7.188e-06 1
## 142 Karinna Jones-Ianello 12 FALSE 1.664e+01 8.479e-05 4
## 147 Jenny Nicole 12 FALSE 0.000e+00 8.358e-05 2
## 152 Melissa Powell 12 FALSE 0.000e+00 7.839e-05 2
## 157 Nicole Curcio 12 FALSE 0.000e+00 7.168e-06 0
## 160 Ali Jessie 12 FALSE 1.214e+02 8.455e-05 4
## 171 Esther Lai 12 FALSE 0.000e+00 7.226e-06 2
## 180 April Brewer 12 FALSE 0.000e+00 7.188e-06 1
## 188 Elizabeth Rollerson 12 FALSE 3.131e+02 8.531e-05 7
## 195 Lance Adkins 12 FALSE 0.000e+00 7.168e-06 0
## 209 Lisa Kith 12 FALSE 0.000e+00 7.226e-06 2
## 212 Lucien Kress 12 FALSE 0.000e+00 7.188e-06 1
## 218 Kyle Pak 12 FALSE 2.000e+00 7.226e-06 3
## 220 Sean Kilpatrick 12 FALSE 0.000e+00 7.168e-06 0
## 223 David Yan 12 FALSE 0.000e+00 7.226e-06 1
## 233 Kush Patel 12 FALSE 0.000e+00 7.188e-06 1
## 235 Rob Coomer 12 FALSE 0.000e+00 7.188e-06 1
## 236 David Dranchak 12 FALSE 0.000e+00 7.168e-06 0
## 244 Joe Ferguson 12 FALSE 0.000e+00 8.441e-05 5
## 248 Leah Williams 12 FALSE 0.000e+00 7.440e-05 1
## 249 Todd Evans 12 FALSE 1.439e-01 8.423e-05 3
## 267 Jenna Jones 12 FALSE 3.455e+02 7.937e-05 4
## 270 Anthony Petrarca 12 FALSE 0.000e+00 7.188e-06 1
## 283 Patrick Romano 12 FALSE 0.000e+00 7.168e-06 0
## 285 Justine Vanderpool 12 FALSE 0.000e+00 7.726e-05 1
## 288 Eric Barten 12 FALSE 2.936e-01 8.455e-05 4
## 302 Ryan Parrett 12 FALSE 0.000e+00 7.168e-06 0
## 304 Katie Lessner 12 FALSE 0.000e+00 7.188e-06 1
## 307 Mario Delgado 12 FALSE 0.000e+00 7.168e-06 0
## 312 Lindsey Barber 12 FALSE 0.000e+00 8.078e-05 1
## 328 Chris Fanning 12 FALSE 0.000e+00 7.168e-06 0
## 340 Lauren Weigel 12 FALSE 0.000e+00 7.925e-05 1
## 354 Lance Carion 12 FALSE 0.000e+00 7.168e-06 0
## 357 Jennifer Ha 12 FALSE 0.000e+00 7.168e-06 0
## 359 Irina St 12 FALSE 0.000e+00 7.168e-06 0
## 364 Oscar Sanchez 12 FALSE 0.000e+00 7.168e-06 0
## 367 Rebekah Chou 12 FALSE 2.851e+01 8.485e-05 5</code></pre>
<ul>
<li>Community 1 is family and relatives.</li>
<li>Community 2 is <a href="http://www.marathonmaniacs.com/">Marathon Maniacs</a>.</li>
<li>Community 3 is trail runners, including Trail Factor, Animal Athletics, and BananaSluggers.</li>
<li>Community 4 is <a href="https://www.facebook.com/pages/Union-High-School/127917213038">Union High School</a>, mostly students with non-math teachers and staff. Some <a href="https://www.facebook.com/GoThunder.org">Mountain View</a> students who are connected to Union people.</li>
<li>Community 5 is the <a href="https://www.facebook.com/pages/Union-High-School/127917213038">Union High School</a> math teachers.</li>
<li>Community 6 is OHSU BICC.</li>
<li>Community 7 is my <a href="http://www.cu-portland.edu/coe/graduate/mat/">Concordia MATE</a> cohort.</li>
<li>Community 8 is Cat’s side of the family and her friends.</li>
<li>Community 9 is a secondary group of Portland friends.</li>
<li>Community 10 is a core group of Portland friends.</li>
<li>Community 11 is a secondary group of Portland friends that has connections to Community 9.</li>
<li>Community 12 is the <em>misfits</em> community of people that either</li>
<li>Don’t fit in with a larger community within my network, or</li>
<li>Truly bridge the other 11 well-defined communities to an extent that they don’t belong in a single community</li>
<li>There are a number of key people that connect 2 or more communities.</li>
</ul>
<p>Create interactive 3-D high resolution. Open the <code>network.html</code> file in a browser.</p>
<pre class="r"><code>require(networkD3)</code></pre>
<pre><code>## Loading required package: networkD3</code></pre>
<pre><code>## Warning: package 'networkD3' was built under R version 3.1.2</code></pre>
<pre class="r"><code>edges <- data.frame(get.edgelist(G))
names(edges) <- c("source", "target")
edges$source <- edges$source - 1
edges$target <- edges$target - 1
edges$value <- 1
vertices <- D[, c("name", "comm")]
names(vertices) <- c("name", "group")
vertices$name <- as.character(vertices$name)
N <- forceNetwork(Links=edges, Nodes=vertices,
Source="source", Target="target", Value = "value",
NodeID = "name", Group="group",
opacity=3/4)