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
|