Graph homomorphisms into the five-cycle (Q1105622)
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scientific article; zbMATH DE number 4059458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graph homomorphisms into the five-cycle |
scientific article; zbMATH DE number 4059458 |
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Graph homomorphisms into the five-cycle (English)
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1988
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\textit{A. M. H. Gerards} [J. Graph Theory 12, 73-83 (1988)] proved that if a graph G with odd girth n does not admit a homomorphism into the cycle \(C_ n\) then G contains a special subdivision of \(K_ 4\) or \(K\) \(2_ 3\). The author presents a constructive characterization of those graphs which have no homomorphism into the cycle \(C_ 5\) and contain no subdivision of \(K_ 4\).
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graph homomorphism
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\(C_ 5\)-coloring of a graph
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subgraph homeomorphic to \(K_ 4\)
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