Distribution of Degrees in the Collaboration Graph of the Second Kind

This table shows the distribution of the number of coauthors for the 337,454 authors in the Mathematical Reviews database as of May, 2000, when we consider only papers with exactly two authors. For example, 13,433 different mathematicians have exactly 3 coauthors under this restriction. In other words, this table gives the distribution of the degrees of the vertices in C', the collaboration graph of the second kind. 
number of coauthors        count
         0                142028
         1                123037
         2                 28747
         3                 13433
         4                  8041
         5                  5421
         6                  3728
         7                  2794
         8                  2012
         9                  1549
        10                  1316
        11                   972
        12                   779
        13                   620
        14                   482
        15                   413
        16                   339
        17                   289
        18                   208
        19                   171
        20                   159
        21                   137
        22                   100
        23                   105
        24                    82
        25                    84
        26                    58
        27                    49
        28                    33
        29                    25
        30                    21
        31                    26
        32                    23
        33                    20
        34                    20
        35                    16
        36                    14
        37                     3
        38                    13
        39                    10
        40                     7
     41-50                    48
     51-60                     9
     61-78                    10
       100                     1
       123                     1
       229                     1
Of course the last line represents Paul Erdös: 229 people have an Erdös number of the second kind of 1, compared to over 500 people with an Erdös number of the first kind of 1.

URL = http://www.oakland.edu/enp/olddegrees2.html
This page was last updated on September 7, 2004.
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