Component Sizes in Collaboration Graph of First Kind - The Erdös Number Project- Oakland University

This table shows the distribution of the sizes of the components in the collaboration graph of the first kind other than the giant component (which has 268,015 vertices) and the 83,621 isolated vertices. There are 49,809 vertices in these smaller components. (The total number of vertices in the collaboration graph is 401,445.) For example, there are 3637 components with three vertices in them (i.e., either paths of length 2 or triangles). The total number of components of sizes 2 through 32 (the largest) is 18,306.

component size      number of components
      2                 11793
      3                  3637
      4                  1447
      5                   625
      6                   316
      7                   178
      8                   108
      9                    63
     10                    32
     11                    35
     12                    18
     13                     5
     14                    16
     15                     9
     16                     4
     17                     5
     18                     2
     19                     4
     20                     3
     21                     1
     22                     0
     23                     1
     24                     0
     25                     0
     26                     0
     27                     0
     28                     1
     29                     0
     30                     0
     31                     1
     32                     1

sizes-of-the-small-components-in-the-collaboration-graph-of-the-first-kind