A weaker version of Lovász' path removal conjecture (Q947724)
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scientific article; zbMATH DE number 5349233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A weaker version of Lovász' path removal conjecture |
scientific article; zbMATH DE number 5349233 |
Statements
A weaker version of Lovász' path removal conjecture (English)
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7 October 2008
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The authors prove that there exists a function \(f(k)\) such that for every \(f(k)\)-connected graph \(G\) and for every edge \(e\in E(G)\), there exists an induced cycle \(C\) containing \(e\) such that \(G-E(C)\) is \(k\)-connected. This confirms a weakening of a conjecture of Lovász due to Kriesel.
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connectivity
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removable paths
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non-separating cycles
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