Covering a graph with cycles of length at least 4 (Q1753038)
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scientific article; zbMATH DE number 6873111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Covering a graph with cycles of length at least 4 |
scientific article; zbMATH DE number 6873111 |
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Covering a graph with cycles of length at least 4 (English)
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25 May 2018
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Summary: Let \(G\) be a graph of order \(n\geq 4k\), where \(k\) is a positive integer. Suppose that the minimum degree of \(G\) is at least \(\lceil n/2\rceil\). We show that \(G\) contains \(k\) vertex-disjoint cycles covering all the vertices of \(G\) such that \(k-1\) of them are quadrilaterals.
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cycles
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disjoint cycles
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cycle coverings
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