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WKls

Info on network

Info on 2-Mode Network 56. C:\Mail.Ru Cloud\ANR HSE\ANR Projects\SNA Vlado Batagelj\Comparison\Analyses\WKls\WK1s.net [2-Mode] (34528)
==============================================================================
Number of vertices (n): 34528
----------------------------------------------------------
                                       Arcs          Edges
----------------------------------------------------------
Total number of lines                310900              0
----------------------------------------------------------
Number of loops                           0              0
Number of multiple lines                  0              0
----------------------------------------------------------

2-Mode Network: Rows=25760, Cols=8768
Density [2-Mode] = 0.00137649
Average Degree = 18.00857275

Indegree:

36. Input Degree of N56 (34528)
==============================================================================
Dimension: 34528
The lowest value:                         0.0000
The highest value:                    17249.0000

Highest values: 

      Rank    Vertex                       Value   Id
--------------------------------------------------------
         1     33108                  17249.0000   SOCIAL
         2     31179                  15287.0000   NETWORK
         3     27274                   4301.0000   COMMUNITY
         4     26090                   4031.0000   ANALYSIS
         5     34139                   3200.0000   USER
         6     33387                   2683.0000   STRUCTURE
         7     29770                   2632.0000   INFORMATION
         8     33714                   2360.0000   THEORY
         9     33476                   2260.0000   SUPPORT
        10     30852                   2259.0000   MODEL
        11     33555                   2137.0000   SYSTEM
        12     34349                   2102.0000   WEB
        13     26831                   1996.0000   CAPITAL
        14     29857                   1762.0000   INTERACTION
        15     32472                   1724.0000   RELATIONSHIP
        16     29241                   1715.0000   GROUP
        17     28964                   1674.0000   FRIEND
        18     27268                   1619.0000   COMMUNICATION
        19     31422                   1566.0000   ONLINE
        20     29916                   1564.0000   INTERNET
        21     31488                   1544.0000   ORGANIZATIONAL
        22     30175                   1536.0000   KNOWLEDGE
        23     33627                   1424.0000   TECHNOLOGY
        24     32543                   1399.0000   RESEARCH
        25     33963                   1368.0000   TRUST
        26     27753                   1352.0000   DATA
        27     33392                   1318.0000   STUDY
        28     26461                   1302.0000   BASE
        29     31447                   1299.0000   OPPORTUNITY
        30     29209                   1266.0000   GRAPH
--------------------------------------------------------
Sum (all values):                    310900.0000

KK network

KK regular

WKls
Transpose, choose as 1st netw
WKl - choose as 2nd
Multiply
KK

58. Multiplying N57 * N56 [1-Mode] (8768)
==============================================================================
Number of vertices (n): 8768
----------------------------------------------------------
                                       Arcs          Edges
----------------------------------------------------------
Number of lines with value=1         736980              0
Number of lines with value#1         436898              0
----------------------------------------------------------
Total number of lines               1173878              0
----------------------------------------------------------
Number of loops                        8768              0
Number of multiple lines                  0              0
----------------------------------------------------------

Density [loops allowed] = 0.01526940
Average Degree = 267.76414234

Arcs to Edges -- Bidirected only, MIN
-- Remove loops
KK_regLs

Reduction: Look at line values

==============================================================================
60. KK_regLs (8768)
==============================================================================
Lowest value of line:               1.00000000
Highest value of line:          11994.00000000

         Line Values                                   Frequency       Freq%      CumFreq  CumFreq%
---------------------------------------------------------------------------------------------------
 (                       ...                1.0000]       366876     62.9771       366876   62.9771
 (                1.0000 ...              308.5128]       215341     36.9649       582217   99.9420
 (              308.5128 ...              616.0256]          224      0.0385       582441   99.9804
 (              616.0256 ...              923.5385]           57      0.0098       582498   99.9902
 (              923.5385 ...             1231.0513]           29      0.0050       582527   99.9952
 (             1231.0513 ...             1538.5641]           10      0.0017       582537   99.9969
 (             1538.5641 ...             1846.0769]            5      0.0009       582542   99.9978
 (             1846.0769 ...             2153.5897]            6      0.0010       582548   99.9988
 (             2153.5897 ...             2461.1026]            2      0.0003       582550   99.9991
 (             2461.1026 ...             2768.6154]            1      0.0002       582551   99.9993
 (             2768.6154 ...             3076.1282]            0      0.0000       582551   99.9993
 (             3076.1282 ...             3383.6410]            1      0.0002       582552   99.9995
 (             3383.6410 ...             3691.1539]            2      0.0003       582554   99.9998
 (             3691.1539 ...             3998.6667]            0      0.0000       582554   99.9998
 (             3998.6667 ...             4306.1795]            0      0.0000       582554   99.9998
 (             4306.1795 ...             4613.6923]            0      0.0000       582554   99.9998
 (             4613.6923 ...             4921.2051]            0      0.0000       582554   99.9998
 (             4921.2051 ...             5228.7180]            0      0.0000       582554   99.9998
 (             5228.7180 ...             5536.2308]            0      0.0000       582554   99.9998
 (             5536.2308 ...             5843.7436]            0      0.0000       582554   99.9998
 (             5843.7436 ...             6151.2564]            0      0.0000       582554   99.9998
 (             6151.2564 ...             6458.7692]            0      0.0000       582554   99.9998
 (             6458.7692 ...             6766.2821]            0      0.0000       582554   99.9998
 (             6766.2821 ...             7073.7949]            0      0.0000       582554   99.9998
 (             7073.7949 ...             7381.3077]            0      0.0000       582554   99.9998
 (             7381.3077 ...             7688.8205]            0      0.0000       582554   99.9998
 (             7688.8205 ...             7996.3333]            0      0.0000       582554   99.9998
 (             7996.3333 ...             8303.8462]            0      0.0000       582554   99.9998
 (             8303.8462 ...             8611.3590]            0      0.0000       582554   99.9998
 (             8611.3590 ...             8918.8718]            0      0.0000       582554   99.9998
 (             8918.8718 ...             9226.3846]            0      0.0000       582554   99.9998
 (             9226.3846 ...             9533.8974]            0      0.0000       582554   99.9998
 (             9533.8974 ...             9841.4103]            0      0.0000       582554   99.9998
 (             9841.4103 ...            10148.9231]            0      0.0000       582554   99.9998
 (            10148.9231 ...            10456.4359]            0      0.0000       582554   99.9998
 (            10456.4359 ...            10763.9487]            0      0.0000       582554   99.9998
 (            10763.9487 ...            11071.4615]            0      0.0000       582554   99.9998
 (            11071.4615 ...            11378.9744]            0      0.0000       582554   99.9998
 (            11378.9744 ...            11686.4872]            0      0.0000       582554   99.9998
 (            11686.4872 ...            11994.0000]            1      0.0002       582555  100.0000
---------------------------------------------------------------------------------------------------
  Total                                                   582555    100.0000

Remove lines with values lower then (400)
Got the network of 105 nodes KK_regLS Line Cut Picture
KK_regLs_LineCut (105 nodes).net

Islands [2,100] = 59 islands

47. Canonized [Decreasing frequencies] C46 (8768)
==============================================================================
Dimension: 8768
The lowest value:   0
The highest value: 59

Frequency distribution of cluster values:

   Cluster      Freq     Freq%   CumFreq  CumFreq% Representative
 ----------------------------------------------------------------
         0      8549   97.5023      8549   97.5023 *EDUCATION
         1        99    1.1291      8648   98.6314 2.0
         2         4    0.0456      8652   98.6770 LIZARD
         3         3    0.0342      8655   98.7112 ELECTRON
         4         3    0.0342      8658   98.7454 FORMER

Others are pairs of keywords
The picture of Island 1 (99 nodes) is almost the same (KK_regLs_Main Island (99 nodes).net).

KK normalized

KKnorm network
WKls.net
Play macro norm2.mcr (25760) - Normalized network
Normalized network -- Transpose 2-mode
Transposed normalized as first
Normalized as second
Multiply networks

71. Multiplying N70 * N69 [1-Mode] (8768)
==============================================================================
Number of vertices (n): 8768
----------------------------------------------------------
                                       Arcs          Edges
----------------------------------------------------------
Number of lines with value=1              1              0
Number of lines with value#1        1173877              0
----------------------------------------------------------
Total number of lines               1173878              0
----------------------------------------------------------
Number of loops                        8768              0
Number of multiple lines                  0              0
----------------------------------------------------------

Density [loops allowed] = 0.01526940
Average Degree = 267.76414234

Arcs to Edges -- Bidirected only, SUM
loops + 30

43. Loops from N72 (8768)
==============================================================================
Dimension: 8768
The lowest value:                         0.0004
The highest value:                      244.7346

Highest values: 

      Rank    Vertex                       Value   Id
--------------------------------------------------------
         1      7348                    244.7346   SOCIAL
         2      5419                    165.9676   NETWORK
         3      7716                     59.7338   SUPPORT
         4      1514                     51.6825   COMMUNITY
         5       330                     38.9956   ANALYSIS
         6      7627                     30.2534   STRUCTURE
         7      3204                     29.8959   FRIEND
         8      8379                     25.0377   USER
         9      1173                     24.8489   CENTRALITY
        10      5728                     23.6406   ORGANIZATIONAL
        11      7954                     23.2160   THEORY
        12      1071                     22.3213   CAPITAL
        13      4040                     21.0007   INNOVATION
        14      8589                     19.9351   WEB
        15      6712                     19.5932   RELATIONSHIP
        16      3206                     19.1838   FRIENDSHIP
        17      8203                     18.2050   TRUST
        18      4010                     17.4377   INFORMATION
        19      5092                     17.0468   MODEL
        20      7795                     16.6073   SYSTEM
        21      4097                     15.5603   INTERACTION
        22      3481                     15.4197   GROUP
        23      5687                     14.5743   OPPORTUNITY
        24      4156                     14.5276   INTERNET
        25      4662                     14.0349   LONELINESS
        26      1508                     13.5605   COMMUNICATION
        27      4005                     13.0653   INFORMAL
        28       630                     12.5590   AVERAGE
        29      6783                     12.1534   RESEARCH
        30      7988                     12.0231   TIE
--------------------------------------------------------
Sum (all values):                      3049.3311

Remove loops
KK_normLs

73. KK_normLs (8768)
==============================================================================
Number of vertices (n): 8768
----------------------------------------------------------
                                       Arcs          Edges
----------------------------------------------------------
Number of lines with value=1              0              0
Number of lines with value#1              0         582555
----------------------------------------------------------
Total number of lines                     0         582555
----------------------------------------------------------
Number of loops                           0              0
Number of multiple lines                  0              0
----------------------------------------------------------

Density1 [loops allowed]    = 0.01515535
Density2 [no loops allowed] = 0.01515707
Average Degree = 132.88207117

KK norm with all words

Reduction
line values:

73. KK_normLs (8768)
==============================================================================
Lowest value of line:               0.00086806
Highest value of line:            213.23003737

         Line Values                                   Frequency       Freq%      CumFreq  CumFreq%
---------------------------------------------------------------------------------------------------
 (                       ...                0.0009]          388      0.0666          388    0.0666
 (                0.0009 ...                7.3536]       582048     99.9130       582436   99.9796
 (                7.3536 ...               14.7063]           90      0.0154       582526   99.9950
 (               14.7063 ...               22.0591]           14      0.0024       582540   99.9974
 (               22.0591 ...               29.4118]            6      0.0010       582546   99.9985
 (               29.4118 ...               36.7645]            2      0.0003       582548   99.9988
 (               36.7645 ...               44.1172]            3      0.0005       582551   99.9993
 (               44.1172 ...               51.4700]            0      0.0000       582551   99.9993
 (               51.4700 ...               58.8227]            0      0.0000       582551   99.9993
 (               58.8227 ...               66.1754]            1      0.0002       582552   99.9995
 (               66.1754 ...               73.5282]            1      0.0002       582553   99.9997
 (               73.5282 ...               80.8809]            0      0.0000       582553   99.9997
 (               80.8809 ...               88.2336]            0      0.0000       582553   99.9997
 (               88.2336 ...               95.5864]            0      0.0000       582553   99.9997
 (               95.5864 ...              102.9391]            0      0.0000       582553   99.9997
 (              102.9391 ...              110.2918]            1      0.0002       582554   99.9998
 (              110.2918 ...              117.6446]            0      0.0000       582554   99.9998
 (              117.6446 ...              124.9973]            0      0.0000       582554   99.9998
 (              124.9973 ...              132.3500]            0      0.0000       582554   99.9998
 (              132.3500 ...              139.7027]            0      0.0000       582554   99.9998
 (              139.7027 ...              147.0555]            0      0.0000       582554   99.9998
 (              147.0555 ...              154.4082]            0      0.0000       582554   99.9998
 (              154.4082 ...              161.7609]            0      0.0000       582554   99.9998
 (              161.7609 ...              169.1137]            0      0.0000       582554   99.9998
 (              169.1137 ...              176.4664]            0      0.0000       582554   99.9998
 (              176.4664 ...              183.8191]            0      0.0000       582554   99.9998
 (              183.8191 ...              191.1719]            0      0.0000       582554   99.9998
 (              191.1719 ...              198.5246]            0      0.0000       582554   99.9998
 (              198.5246 ...              205.8773]            0      0.0000       582554   99.9998
 (              205.8773 ...              213.2300]            1      0.0002       582555  100.0000
---------------------------------------------------------------------------------------------------
  Total                                                   582555    100.0000

Line cut at 10 - 107 nodes, KK_normLs_LineCut (107 nodes).net KK norm Ls Line cut picture

Islands [2,100] = 140

   Cluster      Freq     Freq%   CumFreq  CumFreq% Representative
 ----------------------------------------------------------------
         0      8369   95.4494      8369   95.4494 *EDUCATION
         1       100    1.1405      8469   96.5899 2.0
         2         7    0.0798      8476   96.6697 ACETYL
         3         4    0.0456      8480   96.7153 CHAINE
         4         3    0.0342      8483   96.7495 PLASTICITY
         5         3    0.0342      8486   96.7838 LIKE
         6         3    0.0342      8489   96.8180 CORTEX
         7         3    0.0342      8492   96.8522 ELECTRON
         8         3    0.0342      8495   96.8864 DEPTH
         9         3    0.0342      8498   96.9206 DELTA
        10         3    0.0342      8501   96.9548 FEED
        11         3    0.0342      8504   96.9891 FORMER
        12         3    0.0342      8507   97.0233 CHILE
        13         3    0.0342      8510   97.0575 COMPONENT
        14         3    0.0342      8513   97.0917 BURKINA
        15         3    0.0342      8516   97.1259 AUTOMATA
        16         3    0.0342      8519   97.1601 CONSENT
        17         3    0.0342      8522   97.1943 EQUILIBRIA

Others are pairs KK norm Ls Island Picture
KK_normLs_Island.net

KK norm with some words excluded

social - 7348
network - 5419
Removed them, the new network is

80. Removing vertices [7348,5419] from N73 (8766)
==============================================================================
Number of vertices (n): 8766
----------------------------------------------------------
                                       Arcs          Edges
----------------------------------------------------------
Number of lines with value=1              0              0
Number of lines with value#1              0         567855
----------------------------------------------------------
Total number of lines                     0         567855
----------------------------------------------------------
Number of loops                           0              0
Number of multiple lines                  0              0
----------------------------------------------------------

Density1 [loops allowed]    = 0.01477966
Density2 [no loops allowed] = 0.01478135
Average Degree = 129.55852156

KK_normLs_SNdel.net

Reduction: Line values:

80. KK_normLs_SNdel (8766)
==============================================================================
Lowest value of line:               0.00086806
Highest value of line:             11.04935169

         Line Values                                   Frequency       Freq%      CumFreq  CumFreq%
---------------------------------------------------------------------------------------------------
 (                       ...                0.0009]          386      0.0680          386    0.0680
 (                0.0009 ...                0.5824]       564689     99.4425       565075   99.5104
 (                0.5824 ...                1.1639]         1871      0.3295       566946   99.8399
 (                1.1639 ...                1.7454]          497      0.0875       567443   99.9274
 (                1.7454 ...                2.3269]          189      0.0333       567632   99.9607
 (                2.3269 ...                2.9084]           87      0.0153       567719   99.9761
 (                2.9084 ...                3.4899]           57      0.0100       567776   99.9861
 (                3.4899 ...                4.0714]           35      0.0062       567811   99.9923
 (                4.0714 ...                4.6529]            9      0.0016       567820   99.9938
 (                4.6529 ...                5.2344]            9      0.0016       567829   99.9954
 (                5.2344 ...                5.8159]            6      0.0011       567835   99.9965
 (                5.8159 ...                6.3974]            5      0.0009       567840   99.9974
 (                6.3974 ...                6.9789]            7      0.0012       567847   99.9986
 (                6.9789 ...                7.5604]            2      0.0004       567849   99.9989
 (                7.5604 ...                8.1419]            1      0.0002       567850   99.9991
 (                8.1419 ...                8.7234]            2      0.0004       567852   99.9995
 (                8.7234 ...                9.3049]            0      0.0000       567852   99.9995
 (                9.3049 ...                9.8864]            1      0.0002       567853   99.9996
 (                9.8864 ...               10.4679]            0      0.0000       567853   99.9996
 (               10.4679 ...               11.0494]            2      0.0004       567855  100.0000
---------------------------------------------------------------------------------------------------
  Total                                                   567855    100.0000

Line cut at 3 = 94 nodes, KK_normLs_SNdel_LineCut.net KK_normLs_SNdel_LineCut

Islands [2,100] = 292 islands

 Cluster      Freq     Freq%   CumFreq  CumFreq% Representative
 ----------------------------------------------------------------
         0      8015   91.4328      8015   91.4328 *EDUCATION
         1       100    1.1408      8115   92.5736 2.0
         2         7    0.0799      8122   92.6534 ACETYL
         3         5    0.0570      8127   92.7105 CETACEAN
         4         5    0.0570      8132   92.7675 AGE
         5         4    0.0456      8136   92.8131 DISEASE
         6         4    0.0456      8140   92.8588 ACQUIRE
         7         4    0.0456      8144   92.9044 AGRICULTURE
         8         4    0.0456      8148   92.9500 KILLER
         9         4    0.0456      8152   92.9957 CORTEX
        10         4    0.0456      8156   93.0413 ANARCHY
        11         4    0.0456      8160   93.0869 CHAINE
        12         4    0.0456      8164   93.1326 DEGREE

Islands 13 - 54: 3 nodes
Islands 55 - 291: 2 nodes
KK_normLs_SNdel_Island.net
KK_normLS_SNdel Island Picture
Other islands 2-54 (175 nodes)
KK_normLs_SNdel_Islands+.net
KK_normLS_SNdel Islands+ Picture