Path extendability of claw-free graphs (Q2501583)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Path extendability of claw-free graphs |
scientific article |
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Path extendability of claw-free graphs (English)
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14 September 2006
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The authors prove the following result. Let \(G\) be a connected, locally connected, claw-free graph of order \(n\) and \(x,y\) be any two vertices of \(G\). If for any 2-cut \(S\), \(S\cap\{x,y\}=\emptyset\), then each \((x,y)\)-path of length less than \(n-1\) of \(G\) is extendable. This generalizes several related results known before.
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detour
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locally connected
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path extendable
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