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Chromatic uniqueness and equivalence of \(K_ 4\) homeomorphs. (English) Zbl 0555.05035
A formula for the chromatic polynomial of any subdivision of a \(K_ 4\), also called an \(K_ 4\) homeomorph, is obtained. It is used to obtain infinite families of pairs of chromatically equivalent (i.e. with the same chromatic polynomial) nonisomorphic \(K_ 4\) homeomorphs, as well as an infinite family of chromatically unique graphs.
Reviewer: B.Toft

05C15 Coloring of graphs and hypergraphs
Full Text: DOI
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