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Long cycles in subgraphs with prescribed minimum degree - MaRDI portal

Long cycles in subgraphs with prescribed minimum degree (Q1183969)

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scientific article; zbMATH DE number 33944
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English
Long cycles in subgraphs with prescribed minimum degree
scientific article; zbMATH DE number 33944

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    Long cycles in subgraphs with prescribed minimum degree (English)
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    28 June 1992
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    Let \(n\), \(d\), \(\ell\) be fixed numbers. The authors determine the minimum number of edges in a graph \(G\) on \(n\) vertices such that the subgraph induced by all vertices of degree at least \(d\) contains a cycle of length \(\ell\) (contains cycles of all lengths up to \(\ell)\).
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    circumference
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    minimum degree
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    cycle
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