Equitable Chromatic Number of Complete Multipartite Graphs

  title={Equitable Chromatic Number of Complete Multipartite Graphs},
  author={Dorothee Blum and Denise Torrey and Richard Hammack},
The equitable chromatic number of a graph is the smallest integer n for which the graph’s vertex set can be partitioned into n independent sets, each pair of which differs in size by at most 1. We develop a formula and a linear–time algorithm which compute the equitable chromatic number of an arbitrary complete multipartite graph. These results yield tractable solutions of certain scheduling problems. 
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