Sizes of the Small Components in the Collaboration Graph of the Second Kind

This table shows the distribution (using the Mathematical Reviews data as of May, 2000) of the sizes of the components in the collaboration graph of the second kind other than the giant component (which has 140,821 vertices) and the 142,028 isolated vertices. There are 54,605 vertices in these smaller components. (The total number of vertices in the collaboration graph is 337,454.) For example, there are 3108 components with three vertices in them (i.e., either paths of length 2 or triangles). The number of components of sizes 2 through 33 is 21,441.
component size      number of components
      2                 15945
      3                  3108
      4                  1086
      5                   516
      6                   276
      7                   163
      8                   109
      9                    82
     10                    50
     11                    25
     12                    15
     13                    15
     14                    11
     15                     8
     16                     4
     17                     7
     18                     6
     19                     0
     20                     3
     21                     3
     22                     3
     23                     2
     24                     2
     25-28                  0
     29                     1
     30-32                  0
     33                     1


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This page was last updated on September 7, 2004.
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