A note on shortest cycle covers of cubic graphs (Q2911057)
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scientific article; zbMATH DE number 6081433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on shortest cycle covers of cubic graphs |
scientific article; zbMATH DE number 6081433 |
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A note on shortest cycle covers of cubic graphs (English)
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12 September 2012
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cycle cover
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perfect matching
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2-factor
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shortest cycle cover
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Let \(SCC_3(G)\) be the length of a shortest \(3\)-cycle cover of a bridgeless cubic graph \(G\). The authors prove that \(SCC_3(G) \leq \frac{8}{5}|E(G)|\) if \(G\) contains no circuit of length \(5\). This improves a known result due to \textit{B. Jackson} [``Shortest circuit covers of cubic graphs,'' J. Comb. Theory, Ser. B 60, No. 2, 299--307 (1994; Zbl 0805.05065)].
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