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Vertex-disjoint cycles of the same length - MaRDI portal

Vertex-disjoint cycles of the same length (Q1924121)

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scientific article; zbMATH DE number 934788
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Vertex-disjoint cycles of the same length
scientific article; zbMATH DE number 934788

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    Vertex-disjoint cycles of the same length (English)
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    14 October 1996
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    It is shown that for each integer \(k\geq 3\), there exists an integer \(p_k\) such that every graph with minimum degree at least \(2k\) and order at least \(p_k\) contains \(k\) pairwise vertex-disjoint cycles of the same length. The question of whether the same holds for \(k= 2\) remains open.
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    minimum degree
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    order
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    cycles
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