On chromatic uniqueness of two infinite families of graphs

In this paper, it is proven that for each k ≥ 2, m ≥ 2, the graph Θk(m,…,m), which consists of k disjoint paths of length m with same ends is chromatically unique, and that for each m, n, 2 ≤ m ≤ n, the complete bipartite graph Km,n is chromatically unique. © 1993 John Wiley & Sons, Inc.