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Graphs :: degeneracy

degeneracy -- Computes the degeneracy of a graph



The degeneracy of a graph is the maximum degree of all vertices in any subgraph of G. This is essentially equivalent to the coloring number of G, which is the least number k such that there exists an ordering of the vertices of G in which each vertex has less than k neighbors earlier in the ordering. The coloring number is equal to the degeneracy plus one.

i1 : G = completeGraph 10;
i2 : degeneracy G

o2 = 9

Ways to use degeneracy :

For the programmer

The object degeneracy is a method function.