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On uniquely 3-colorable graphs - MaRDI portal

On uniquely 3-colorable graphs (Q1210549)

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scientific article; zbMATH DE number 179585
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English
On uniquely 3-colorable graphs
scientific article; zbMATH DE number 179585

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    On uniquely 3-colorable graphs (English)
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    30 August 1993
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    The authors show: (1) For each integer \(m\geq 12\), there exists a uniquely 3-colourable graph of order \(m\) without triangles. (2) For each integer \(n\geq 3\), there exists infinitely many uniquely \(n\)-colourable regular graphs having no subgraph isomorphic to the complete graph \(K_ n\) on \(n\) vertices.
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    uniquely 3-colourable graph
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    regular graphs
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