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The longest cycles in a graph G with minimum degree at least \(| G| /k\) - MaRDI portal

The longest cycles in a graph G with minimum degree at least \(| G| /k\) (Q1118613)

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scientific article; zbMATH DE number 4095503
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English
The longest cycles in a graph G with minimum degree at least \(| G| /k\)
scientific article; zbMATH DE number 4095503

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    The longest cycles in a graph G with minimum degree at least \(| G| /k\) (English)
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    1989
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    This article shows that if \(d_ G(x)+d_ G(y)\geq \lceil 2| V(G)| /k\rceil\) for any nonadjacent distinct vertices x and y of V(G), then G has a cycle of length at least \(\lceil | V(G)| /(k- 1)\rceil\).
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    circumference
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    cycle
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