Contractible edges in non-separating cycles (Q1181016)
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scientific article; zbMATH DE number 27536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contractible edges in non-separating cycles |
scientific article; zbMATH DE number 27536 |
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Contractible edges in non-separating cycles (English)
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27 June 1992
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An edge \(e\) in a \(k\)-connected graph \(G\) is said to be \(k\)-contractible if \(G'\), the graph obtained from \(G\) by contracting \(e\), is also \(k\)- connected. It is shown that every triangle-free \(k\)-connected graph \(G\) contains an induced cycle \(C\) such that each edge in \(C\) is \(k\)- contractible in \(G\) and such that \(G-V(C)\) is connected.
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contractible edges
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non-separating cycles
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