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Excluding 4-wheels
Published 16 Feb 2012 in cs.DM and math.CO | (1202.3549v2)
Abstract: A 4-wheel is a graph formed by a cycle C and a vertex not in C that has at least four neighbors in C. We prove that a graph G that does not contain a 4-wheel as a subgraph is 4-colorable and we describe some structural properties of such a graph.
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