Contractible cycles in graphs with large minimum degree (Q1363691)
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scientific article; zbMATH DE number 1047082
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contractible cycles in graphs with large minimum degree |
scientific article; zbMATH DE number 1047082 |
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Contractible cycles in graphs with large minimum degree (English)
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10 August 1997
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It is proved that if \(k\geq 2\), then with the exception of \(K_4\) and \(K_5\), every \(k\)-connected graph \(G\) of minimum degree at least \([3k/2]\) contains an induced cycle \(C\) such that \(G-V(C)\) is \((k-1)\)-connected.
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contractible cycles
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\(k\)-connected graph
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minimum degree
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