(Edge coloring) The edge chromatic number xeCG) of a graph

Chapter 23, Problem 23.8

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(Edge coloring) The edge chromatic number xeCG) of a graph G is the minimLUll number of colors needed for coloring the edges of G so that incident edges get different colors. Clearly, Xe(G) ;;; max d(u), where d(lI) is the degree of vertex u. If G = (5, T; E) is bipartite, the equality sign holds. Prove this for Kn . n .

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