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On chromatic uniqueness of two infinite families of graphs. (English) Zbl 0777.05059
This paper shows that both the graphs \(\Theta_ k(m,\dots,m)\), for \(m,k\geq 2\), and \(K_{m,n}\), for \(n\geq m\geq 2\), are chromatically unique where the former is the graph formed as the edge-disjoint union of \(k\) paths of length \(m\) with same ends and the latter is the complete bipartite graph.

MSC:
05C15 Coloring of graphs and hypergraphs
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