Dominating cycles in regular 3-connected graphs (Q1193714)
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scientific article; zbMATH DE number 65062
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dominating cycles in regular 3-connected graphs |
scientific article; zbMATH DE number 65062 |
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Dominating cycles in regular 3-connected graphs (English)
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27 September 1992
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The authors conjecture that every 3-connected, \(k\)-regular graph on at most \(4k\) vertices is Hamiltonian for \(k\geq 4\). They prove the weaker statement that every longest cycle is dominating provided \(k\geq 63\).
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dominating cycles
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regular 3-connected graphs
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Hamiltonian
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