WAl
==============================================================================
Info on 2-Mode Network 20. C:\Mail.Ru Cloud\ANR HSE\ANR Projects\SNA Vlado Batagelj\Comparison\LietzSN\WAl.net [2-Mode] (71340)
==============================================================================
Number of vertices (n): 71340
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Total number of lines 68227 0
----------------------------------------------------------
Number of loops 0 0
Number of multiple lines 15 0
----------------------------------------------------------
2-Mode Network: Rows=25760, Cols=45580
Density [2-Mode] = 0.00005811
Average Degree = 1.91272778
Transform - Remove - Multiple lines - Single lines
==============================================================================
Info on 2-Mode Network 21. Simplification (Single Line) of N20 (71340)
==============================================================================
Number of vertices (n): 71340
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Total number of lines 68212 0
----------------------------------------------------------
Number of loops 0 0
Number of multiple lines 0 0
----------------------------------------------------------
2-Mode Network: Rows=25760, Cols=45580
Density [2-Mode] = 0.00005810
Average Degree = 1.91230726
Indegree:
==============================================================================
10. Input Degree of N21 (71340)
==============================================================================
Dimension: 71340
The lowest value: 0.0000
The highest value: 74.0000
Highest values:
Rank Vertex Value Id
--------------------------------------------------------
1 47406 74.0000 LATKIN,_CARL
2 31051 49.0000 CARLEY,_KATHLEEN
3 27836 48.0000 BARABASI,_ALBERT
4 54195 46.0000 NEWMAN,_M_E_J
5 28664 44.0000 BERKMAN,_LISA
6 65780 39.0000 VALENTE,_THOMAS
7 48302 38.0000 LEYDESDORFF,_LOET
8 45076 38.0000 KAZIENKO,_PRZEMYSLAW
9 35808 38.0000 DUNBAR,_ROBIN_I_M
10 67924 37.0000 WELLMAN,_BARRY
11 29528 36.0000 BORGATTI,_STEPHEN
12 32567 32.0000 CHRISTAKIS,_NICHOLAS
13 62299 32.0000 SNIJDERS,_TOM_A_B
14 45041 32.0000 KAWACHI,_ICHIRO
15 30490 31.0000 BURT,_RONALD_S
16 55987 31.0000 PATTISON,_PHILIPPA
17 42491 31.0000 HOSSAIN,_LIAQUAT
18 35500 31.0000 DOREIAN,_PATRICK
19 49151 30.0000 LITWIN,_HOWARD
20 58796 29.0000 ROBINS,_GARRY
21 47408 29.0000 LATORA,_VITO
22 44477 29.0000 JUNG,_JASON_J
23 37716 28.0000 FOWLER,_JAMES
24 46458 27.0000 KRACKHARDT,_DAVID
25 66441 27.0000 VESPIGNANI,_ALESSANDRO
26 37934 26.0000 FRIEDMAN,_SAMUEL_R
27 36754 26.0000 FALOUTSOS,_CHRISTOS
28 67672 26.0000 WATTS,_DUNCAN
29 56256 25.0000 PENTLAND,_ALEX
30 27995 25.0000 BARRAT,_ALAIN
--------------------------------------------------------
Sum (all values): 68212.0000
(WA)T * WA
Delete loops
Bidirected Arcs to Edges [MIN]
41. AAl_1st (45580)
==============================================================================
Number of vertices (n): 45580
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 0 79792
Number of lines with value#1 0 7802
----------------------------------------------------------
Total number of lines 0 87594
----------------------------------------------------------
Number of loops 0 0
Number of multiple lines 0 0
----------------------------------------------------------
Density1 [loops allowed] = 0.00008432
Density2 [no loops allowed] = 0.00008433
Average Degree = 3.84352786
Most collaborating pairs
Line values
41. AAl_1st (45580)
==============================================================================
Lowest value of line: 1.00000000
Highest value of line: 20.00000000
Line Values Frequency Freq% CumFreq CumFreq%
---------------------------------------------------------------------------------------------------
( ... 1.0000] 79792 91.0930 79792 91.0930
( 1.0000 ... 2.0000] 5696 6.5027 85488 97.5957
( 2.0000 ... 3.0000] 1292 1.4750 86780 99.0707
( 3.0000 ... 4.0000] 432 0.4932 87212 99.5639
( 4.0000 ... 5.0000] 150 0.1712 87362 99.7351
( 5.0000 ... 6.0000] 82 0.0936 87444 99.8288
( 6.0000 ... 7.0000] 47 0.0537 87491 99.8824
( 7.0000 ... 8.0000] 23 0.0263 87514 99.9087
( 8.0000 ... 9.0000] 17 0.0194 87531 99.9281
( 9.0000 ... 10.0000] 17 0.0194 87548 99.9475
( 10.0000 ... 11.0000] 19 0.0217 87567 99.9692
( 11.0000 ... 12.0000] 7 0.0080 87574 99.9772
( 12.0000 ... 13.0000] 3 0.0034 87577 99.9806
( 13.0000 ... 14.0000] 4 0.0046 87581 99.9852
( 14.0000 ... 15.0000] 5 0.0057 87586 99.9909
( 15.0000 ... 16.0000] 3 0.0034 87589 99.9943
( 16.0000 ... 17.0000] 1 0.0011 87590 99.9954
( 17.0000 ... 18.0000] 1 0.0011 87591 99.9966
( 18.0000 ... 19.0000] 1 0.0011 87592 99.9977
( 19.0000 ... 20.0000] 2 0.0023 87594 100.0000
---------------------------------------------------------------------------------------------------
Total 87594 100.0000
Trashold 10 = 82 nodes. Saved network AA_1st_LineCut.net
Select networks:
WAl.net - Transpose WAl.net - Normalize with norm2.mcr (25,760) Multiply Networks -> AAl_2nd.net
==============================================================================
47. AAl_2nd (45580)
==============================================================================
Number of vertices (n): 45580
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 5153 0
Number of lines with value#1 215615 0
----------------------------------------------------------
Total number of lines 220768 0
----------------------------------------------------------
Number of loops 45580 0
Number of multiple lines 0 0
----------------------------------------------------------
Density [loops allowed] = 0.00010626
Average Degree = 9.68705573
Get loops = total contribution (in sense of fractional approach) AAl_2nd_loops_TotContr.vec Loops +30
23. AAl_2nd_loops_TotContr (45580)
==============================================================================
Dimension: 45580
The lowest value: 0.0119
The highest value: 29.2333
Highest values:
Rank Vertex Value Id
--------------------------------------------------------
1 28435 29.2333 NEWMAN,_M_E_J
2 4730 26.0076 BURT,_RONALD_S
3 22542 25.9167 LEYDESDORFF,_LOET
4 23391 23.0000 LITWIN,_HOWARD
5 18717 22.5833 JUNG,_JASON_J
6 5291 21.1996 CARLEY,_KATHLEEN
7 12154 21.0000 FRIEDKIN,_NOAH
8 42164 19.8667 WELLMAN,_BARRY
9 10048 19.7167 DUNBAR,_ROBIN_I_M
10 21646 19.6024 LATKIN,_CARL
11 9740 19.2500 DOREIAN,_PATRICK
12 3768 16.3190 BORGATTI,_STEPHEN
13 2076 16.2409 BARABASI,_ALBERT
14 2904 15.2882 BERKMAN,_LISA
15 40020 15.1017 VALENTE,_THOMAS
16 20698 14.7833 KRACKHARDT,_DAVID
17 36539 14.3833 SNIJDERS,_TOM_A_B
18 25310 14.1667 MARSDEN,_PETER
19 19316 13.6667 KAZIENKO,_PRZEMYSLAW
20 16731 13.4167 HOSSAIN,_LIAQUAT
21 20765 12.8167 KRAUSE,_NEAL
22 17796 12.7333 JACKSON,_MATTHEW_O
23 41912 12.6667 WATTS,_DUNCAN
24 6807 11.6583 CHRISTAKIS,_NICHOLAS
25 11956 11.2762 FOWLER,_JAMES
26 12091 11.0333 FREEMAN,_L_C
27 41859 10.9500 WASSERMAN,_STANLEY
28 38747 10.8667 THELWALL,_MIKE
29 24624 10.7929 MACY,_MICHAEL
30 4800 10.6667 BUTTS,_CARTER
--------------------------------------------------------
Sum (all values): 25766.3843
self-sufficiency = total (total contribution) / indegree [v] (author`s N of works)
WAl - /Centrality/Degree/Input
Network/2-Mode Network/Partition into 2 Modes
select the 2-Mode partition
Operations/Vector+Partition/Extract SubVector [2]
File/Vector/Change Label [author's total N of works]
- select the Total contribution vector as First
- select the author's total N of works vector as Second
Vectors/Divide (First/Second)
File/Vector/Change Label [self-sufficiency]
collaborativeness = 1 - self-sufficiency
select the AA_2nd net
Vector/Create Constant Vector [1]
select the self-sufficiency vector as Second
Vectors/Subtract (First-Second) (1 - self-suff. = collaborativeness]
File/Vector/Change Label [collaborativeness]
The list of authors with 25+ works:
ID Author N of works Total contribution Collaborativenness
21646 LATKIN._CARL 74 19.60 0.74
5291 CARLEY._KATHLEEN 49 21.20 0.57
2076 BARABASI._ALBERT 48 16.24 0.66
28435 NEWMAN._M_E_J 46 29.23 0.36
2904 BERKMAN._LISA 44 15.29 0.65
40020 VALENTE._THOMAS 39 15.10 0.61
10048 DUNBAR._ROBIN_I_M 38 19.72 0.48
19316 KAZIENKO._PRZEMYSLAW 38 13.67 0.64
22542 LEYDESDORFF._LOET 38 25.92 0.32
42164 WELLMAN._BARRY 38 19.87 0.48
3768 BORGATTI._STEPHEN 36 16.32 0.55
6807 CHRISTAKIS._NICHOLAS 32 11.66 0.64
19281 KAWACHI._ICHIRO 32 8.71 0.73
36539 SNIJDERS._TOM_A_B 32 14.38 0.55
4730 BURT._RONALD_S 31 26.01 0.16
9740 DOREIAN._PATRICK 31 19.25 0.38
16731 HOSSAIN._LIAQUAT 31 13.42 0.57
30227 PATTISON._PHILIPPA 31 10.38 0.67
23391 LITWIN._HOWARD 30 23.00 0.23
18717 JUNG._JASON_J 29 22.58 0.22
21648 LATORA._VITO 29 8.18 0.72
33036 ROBINS._GARRY 29 9.75 0.66
11956 FOWLER._JAMES 28 11.28 0.60
20698 KRACKHARDT._DAVID 27 14.78 0.45
40681 VESPIGNANI._ALESSANDRO 27 8.96 0.67
10994 FALOUTSOS._CHRISTOS 26 6.88 0.74
12174 FRIEDMAN._SAMUEL_R 26 5.11 0.80
41912 WATTS._DUNCAN 26 12.67 0.51
2235 BARRAT._ALAIN 25 6.32 0.75
28843 NOWAK._MARTIN 25 9.32 0.63
30496 PENTLAND._ALEX 25 10.24 0.59
Select:
- Regularly normalized (
norm2.mcr) network WAl -- Transpose 2-mode - as 1st - Newman normalized (
macro2p.mcr) network WAl -- as 2nd
Multiply
50. Multiplying N49 * N48 [1-Mode] (45580)
==============================================================================
Number of vertices (n): 45580
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 4803 0
Number of lines with value#1 215965 0
----------------------------------------------------------
Total number of lines 220768 0
----------------------------------------------------------
Number of loops 45580 0
Number of multiple lines 0 0
----------------------------------------------------------
Density [loops allowed] = 0.00010626
Average Degree = 9.68705573
Remove loops
Arcs -> Edges - Bidirectional only - SUM values
AAl_4th.net
52. AAl_4th (45580)
==============================================================================
Number of vertices (n): 45580
----------------------------------------------------------
Arcs Edges
----------------------------------------------------------
Number of lines with value=1 0 5824
Number of lines with value#1 0 81770
----------------------------------------------------------
Total number of lines 0 87594
----------------------------------------------------------
Number of loops 0 0
Number of multiple lines 0 0
----------------------------------------------------------
Density1 [loops allowed] = 0.00008432
Density2 [no loops allowed] = 0.00008433
Average Degree = 3.84352786
Islands [5,100] = 2062 islands
37. Canonized [Decreasing frequencies] C36 (45580)
==============================================================================
Dimension: 45580
The lowest value: 0
The highest value: 2062
Frequency distribution of cluster values:
Cluster Freq Freq% CumFreq CumFreq% Representative
----------------------------------------------------------------
0 27195 59.6643 27195 59.6643 AADITHYA,_KARTHIK
1 92 0.2018 27287 59.8662 ACITELLI,_L_K
2 84 0.1843 27371 60.0505 ALBERT,_REKA
3 83 0.1821 27454 60.2326 ABRAMS,_DANIEL_M
4 67 0.1470 27521 60.3796 ANDERSON,_R_M
5 65 0.1426 27586 60.5222 ANJORIN,_MOJISOLA
6 61 0.1338 27647 60.6560 ACREDOLO,_C
7 61 0.1338 27708 60.7898 AO,_DAN
8 59 0.1294 27767 60.9193 ACHANANUPARP,_PALAKORN
9 58 0.1272 27825 61.0465 BAU,_ROBERTO
10 57 0.1251 27882 61.1716 ADHIKARI,_ANAMIKA
11 56 0.1229 27938 61.2944 ANURAG,_MEENAKSHI
12 50 0.1097 27988 61.4041 ACKER,_CAROLINE
13 50 0.1097 28038 61.5138 BOHNERT,_AMY_S_B
14 48 0.1053 28086 61.6191 BOOTH,_B
15 48 0.1053 28134 61.7244 BENTLEY,_R
16 47 0.1031 28181 61.8276 ANDERSSON,_ERIK
17 47 0.1031 28228 61.9307 ABBASI,_AHMED
18 46 0.1009 28274 62.0316 AGARWAL,_NITIN_(ARKANSAS_UNIV)
19 46 0.1009 28320 62.1325 AXHAUSEN,_KAY
20 45 0.0987 28365 62.2312 ABBASI,_ALIREZA
21 43 0.0943 28408 62.3256 ASHER,_S_R
22 43 0.0943 28451 62.4199 ARLITT,_MARTIN
23 43 0.0943 28494 62.5143 ADERHOLD,_J
24 42 0.0921 28536 62.6064 BESSELL,_PAUL
25 40 0.0878 28576 62.6942 BACHRACH,_YORAM
26 39 0.0856 28615 62.7797 ANWURI,_VICTORIA
27 38 0.0834 28653 62.8631 ANDERSON,_JOAN_(BRITISH_COLUMBIA_UNIV)
28 37 0.0812 28690 62.9443 AMPT,_AMANDA
29 37 0.0812 28727 63.0254 AHMED,_ADEL_(N/A)_(SNA)
30 37 0.0812 28764 63.1066 AIGNER,_WOLFGANG
31 35 0.0768 28799 63.1834 AXELROD,_R
32 35 0.0768 28834 63.2602 BOKHARAEI,_HOSSEIN
33 34 0.0746 28868 63.3348 BALL,_ROBIN
34 34 0.0746 28902 63.4094 BENISCH,_MICHAEL
35 33 0.0724 28935 63.4818 AGUIAR-PULIDO,_VANESSA
36 32 0.0702 28967 63.5520 ARENDT,_DUSTIN
37 32 0.0702 28999 63.6222 ADLER,_Z
38 32 0.0702 29031 63.6924 ANDRADE,_NAZARENO
39 32 0.0702 29063 63.7626 ABBASSI,_ZEINAB
40 32 0.0702 29095 63.8328 ADKINS,_BARBARA
41 32 0.0702 29127 63.9030 ACEMOGLU,_DARON
42 31 0.0680 29158 63.9710 ATKINSON,_KATIE
43 31 0.0680 29189 64.0391 BASSELIN,_NATHALIE
44 31 0.0680 29220 64.1071 AMIN,_A_(BRISTOL_UNIV)_(ECON_SOC)
45 30 0.0658 29250 64.1729 ALAJMI,_BIB
46 30 0.0658 29280 64.2387 BOLD,_RICHARD
47 29 0.0636 29309 64.3023 AINLAY,_S_L
48 29 0.0636 29338 64.3659 ABROL,_SATYEN
49 29 0.0636 29367 64.4296 CHEN,_ZHANG_J
50 29 0.0636 29396 64.4932 ABAD,_M
51 29 0.0636 29425 64.5568 ADDAM,_OMAR
52 29 0.0636 29454 64.6204 ALEXANDER,_M_C
53 29 0.0636 29483 64.6841 ANANTHARAM,_PRAMOD
54 29 0.0636 29512 64.7477 ABRAHAM,_AJITH_(N/A)
55 29 0.0636 29541 64.8113 AMIRKHANIAN,_YURI
56 29 0.0636 29570 64.8749 AGUILERA,_M_B
57 28 0.0614 29598 64.9364 ANWAR,_MOHD
58 28 0.0614 29626 64.9978 BENBENISHTY,_R
59 28 0.0614 29654 65.0592 ASTRAND,_N_E
60 28 0.0614 29682 65.1207 BRUCE,_IRENE
61 27 0.0592 29709 65.1799 ABBASS,_HUSSEIN
62 27 0.0592 29736 65.2391 AVISON,_W_R
63 27 0.0592 29763 65.2984 ALEGRIA,_MARGARITA
64 27 0.0592 29790 65.3576 ASHIDA,_SATO
65 27 0.0592 29817 65.4168 ANDERS,_S_L
66 26 0.0570 29843 65.4739 BOND,_EDWARD
67 26 0.0570 29869 65.5309 AGULLO-CALATAYUD,_V
68 26 0.0570 29895 65.5880 CHALLET,_D
69 26 0.0570 29921 65.6450 CHOR,_D
70 26 0.0570 29947 65.7021 BARTHES,_JEAN
71 26 0.0570 29973 65.7591 ADOMAVICIUS,_G
72 26 0.0570 29999 65.8161 ADIL,_JALEEL
73 25 0.0548 30024 65.8710 AGNEESSENS,_FILIP
74 25 0.0548 30049 65.9258 ADHIKARI,_SRADDHA
75 25 0.0548 30074 65.9807 BERCHICCI,_L
76 25 0.0548 30099 66.0355 CARPIANO,_RICHARD
77 25 0.0548 30124 66.0904 ADAMS,_JIMI_(OHIO_STATE_UNIV)
78 25 0.0548 30149 66.1452 BERARDI,_LUCIANO_(DEPAUL_UNIV)
79 25 0.0548 30174 66.2001 ABOU-ZEID,_MAYA
80 25 0.0548 30199 66.2549 BARKSDALE,_CRYSTAL
81 25 0.0548 30224 66.3098 ANDREWS,_D_W
82 25 0.0548 30249 66.3646 ARIS,_ALEKS
83 24 0.0527 30273 66.4173 BEUKEBOOM,_CAMIEL
84 24 0.0527 30297 66.4699 DAYAL,_UMESHWAR
85 24 0.0527 30321 66.5226 ANDERSON,_P_(MICHIGAN_UNIV)_(WEB_SCI)
86 24 0.0527 30345 66.5753 AKULA,_KARTHIK
87 24 0.0527 30369 66.6279 ABBOTT-CHAPMAN,_J
88 24 0.0527 30393 66.6806 ARONSON,_J_A
89 24 0.0527 30417 66.7332 BOXHILL,_LOUISE
90 23 0.0505 30440 66.7837 ALBERTS,_SUSAN
91 23 0.0505 30463 66.8341 BERKMAN,_LISA
92 23 0.0505 30486 66.8846 ARTEMYEFF,_C
93 23 0.0505 30509 66.9351 BECKER,_AMY_B
94 23 0.0505 30532 66.9855 BLANEY,_N_T
95 23 0.0505 30555 67.0360 CARMINATI,_F
96 23 0.0505 30578 67.0864 ADDANTE,_FILOMENA
97 23 0.0505 30601 67.1369 BARON,_S_W
98 23 0.0505 30624 67.1874 ANDERPECIVA,_S
99 23 0.0505 30647 67.2378 CHANG,_LIJUN_(CHINESE_UNIV_HONG_KONG)
----------------------------------------------------------------
Sum 45580 67.2378
We get a huge number of islands -- how to deal with them?