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Jaccard
Chapter 2 - p.56
CiteR
Play macro BiCon.mcr
Number of nodes - 70792
C = n(WA)T * S * n(WA)
Jaccard - 0.1 line cut
size stays the same, do not delete isolates
WJsr - norm2 (70792)
Transpose
Jaccard
1-mode to 2-mode
Multiply
(split the following valus /2 - this is 2-mode Jaccard obtained from 1-mode.
So, the amount of the lines in this cut Jaccard net is 10.616.820
==============================================================================
Info on 2-Mode Network 6. 2-Mode Network obtained from N2 (141584)
==============================================================================
Number of vertices (n): 141584
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 0 135524
Number of lines with value#1 0 21098116
----------------------------------------------------------
Total number of lines 0 21.233.640
----------------------------------------------------------
Number of loops 0 0
Number of multiple lines 0 0
----------------------------------------------------------
2-Mode Network: Rows=70792, Cols=70792
Density [2-Mode] = 0.00423698
Average Degree = 299.94406148
==============================================================================
Multiplying networks
==============================================================================
Working...
Lines around vertices in input networks sorted in ascending order.
Sorting lines........ 9.42% finished. Time spent: 0:00:53
Sorting lines........ 18.84% finished. Time spent: 0:02:38
Sorting lines........ 28.26% finished. Time spent: 0:04:35
Sorting lines........ 37.68% finished. Time spent: 0:06:52
Sorting lines........ 47.10% finished. Time spent: 0:10:52
Sorting lines........ 56.51% finished. Time spent: 0:15:26
Sorting lines........ 65.93% finished. Time spent: 0:21:21
Sorting lines........ 75.35% finished. Time spent: 0:26:39
Sorting lines........ 84.77% finished. Time spent: 0:32:39
Sorting lines........ 94.19% finished. Time spent: 0:40:38
Sorting lines........ 100.00% finished. Time spent: 0:47:06
Sorting lines........ 100.00% finished. Time spent: 0:00:00
100.00% finished.
Time spent: 0:47:34
==============================================================================
Multiplying networks
==============================================================================
Working...
Lines around vertices in input networks sorted in ascending order.
Sorting lines........ 100.00% finished. Time spent: 0:00:00
Sorting lines........ 18.29% finished. Time spent: 0:05:24
Sorting lines........ 36.59% finished. Time spent: 0:10:11
Sorting lines........ 54.88% finished. Time spent: 0:15:01
Sorting lines........ 73.17% finished. Time spent: 0:19:23
Sorting lines........ 91.46% finished. Time spent: 0:24:34
Sorting lines........ 100.00% finished. Time spent: 0:26:51
100.00% finished.
Time spent: 0:38:42
Multiplied netw - Arcs to Edges (Bidirectional only - sum)
Save
Delete loops
Cut at the level 300 for arcs (600 for edges)
==============================================================================
18. C:\Mail.Ru Cloud\ANR HSE\ANR Projects\SNA Vlado Batagelj\Final\September 2018\Jaccard\JaccardJour(1).net (8943)
==============================================================================
Number of vertices (n): 8943
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 36 32316
Number of lines with value#1 1928 2140279
----------------------------------------------------------
Total number of lines 1964 2.172.595
----------------------------------------------------------
Number of loops 1964 0
Number of multiple lines 0 0
----------------------------------------------------------
Density [loops allowed] = 0.05435488
Average Degree = 486.31533043
Got the network of 34 nodes
Multiply by 0.01
Save
same but
Jaccard - Cut at the level 0.2
Multiply
Cut 200
same but Jaccard - Cut at the level 0.085
==============================================================================
2. Removed lines with values lower than 0.0850 in N1 (70792)
==============================================================================
Number of vertices (n): 70792
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 0 67762
Number of lines with value#1 0 13140689
----------------------------------------------------------
Total number of lines 0 13.208.451
----------------------------------------------------------
Number of loops 0 0
Number of multiple lines 0 0
----------------------------------------------------------
Multiply
- size of initial network?
Cut at 500, 550
600 *
==============================================================================
17. C:\Mail.Ru Cloud\ANR HSE\ANR Projects\SNA Vlado Batagelj\Final\September 2018\Jaccard\JaccardJour(3).net (8943)
==============================================================================
Number of vertices (n): 8943
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 34 30228
Number of lines with value#1 2009 2452059
----------------------------------------------------------
Total number of lines 2043 2.482.287
----------------------------------------------------------
Number of loops 2043 0
Number of multiple lines 0 0
----------------------------------------------------------
Density [loops allowed] = 0.06210037
Average Degree = 555.59208319
all saved at SNA Vlado Batagelj\Final\September 2018\Jaccard
Jaccard - Cut at the level 0.085
70.792 nodes and 13.208.451 lines
Result of multiplication:
==============================================================================
8. Multiplying N7 * N5 [1-Mode] (93011)
==============================================================================
Number of vertices (n): 93011
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 6933 0
Number of lines with value#1 127213310 0
----------------------------------------------------------
Total number of lines 127220243 0
----------------------------------------------------------
Number of loops 14131 0
Number of multiple lines 0 0
----------------------------------------------------------
Density [loops allowed] = 0.01470576
Average Degree = 2735.59563923
Cut at 2.5 Got the network of 1162 nodes
==============================================================================
10. Extracting N9 according to C2 [1-*] (1162)
==============================================================================
Number of vertices (n): 1162
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 0 0
Number of lines with value#1 9926 0
----------------------------------------------------------
Total number of lines 9926 0
----------------------------------------------------------
Number of loops 402 0
Number of multiple lines 0 0
----------------------------------------------------------
Density [loops allowed] = 0.00735126
Average Degree = 17.08433735
==============================================================================
6. Islands [Line Weights] in N12 [5,40] (1162, Islands=9)
==============================================================================
Dimension: 1162
The lowest value: 0
The highest value: 9
Frequency distribution of cluster values:
Cluster Freq Freq% CumFreq CumFreq% Representative
----------------------------------------------------------------
0 1039 89.4148 1039 89.4148 #GRANOVET_M
1 10 0.8606 1049 90.2754 SMITH_A
2 11 0.9466 1060 91.2220 WHITE_R
3 7 0.6024 1067 91.8244 KRAUSE_J
4 12 1.0327 1079 92.8571 COHEN_S
5 5 0.4303 1084 93.2874 MOOS_R
6 10 0.8606 1094 94.1480 KASKI_K
7 11 0.9466 1105 95.0947 WASSERMA_S
8 17 1.4630 1122 96.5577 BORGATTI_S
9 40 3.4423 1162 100.0000 WANG_B
----------------------------------------------------------------
Sum 1162 100.0000