The edge chromatic number e (G) of a graph G is the minimum number of colors

Question:

The edge chromatic number Χe(G) of a graph G is the minimum number of colors needed for coloring the edges of G so that incident edges get different colors. Clearly, Χe(G) ≥ max d(u), where d(u) is the degree of vertex u. If G = (S, T; E) is bipartite, the equality sign holds. Prove this for Kn,n the complete bipartite graph G = (S, T, E) with S and T consisting of n vertices each.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: