On a conjecture of Bondy (Q1065023)
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scientific article; zbMATH DE number 3920509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a conjecture of Bondy |
scientific article; zbMATH DE number 3920509 |
Statements
On a conjecture of Bondy (English)
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1985
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The authors prove the following conjecture of Bondy: if G is a k- connected graph, where \(k\geq 2\), such that the degree-sum of any \(k+1\) independent vertices is at least m, then G contains a cycle of length at least \(\min (2m/(k+1),n)\) (n denotes the order of G).
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cycle
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