Distribution of Degrees in the Collaboration Graph of the First Kind

This table shows the distribution of the number of coauthors for the 401,445 authors in the Mathematical Reviews database. For example, 39,574 different mathematicians have exactly 3 coauthors. In other words, this table gives the distribution of the degrees of the vertices in the collaboration graph C. 
number of coauthors        count
      0                    83621
      1                   107647
      2                    71452
      3                    39574
      4                    22815
      5                    15205
      6                    10679
      7                     7917
      8                     6255
      9                     4959
     10                     4141
     11                     3283
     12                     2808
     13                     2368
     14                     1993
     15                     1756
     16                     1575
     17                     1311
     18                     1147
     19                     1046
     20                      945
     21                      825
     22                      720
     23                      665
     24                      563
     25                      541
     26                      468
     27                      460
     28                      390
     29                      364
     30                      311
     31                      279
     32                      264
     33                      222
     34                      221
     35                      227
     36                      177
     37                      172
     38                      130
     39                      150
     40                      111
     41                      113
     42                       99
     43                       95
     44                       98
     45                       67
     46                       83
     47                       79
     48                       68
     49                       67
     50                       61
     51-60                   399
     61-70                   189
     71-80                   103
     81-90                    57
     91-100                   35
    101-150                   60
    151-200                   10
    214                        1
    227                        1
    244                        1
    268                        1
    504                        1
mean = 4.24819; sd = 6.60515

URL = http://www.oakland.edu/enp/degrees.html
This page was last updated on August 12, 2004.
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