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Vertex-disjoint claws in graphs - MaRDI portal

Vertex-disjoint claws in graphs (Q1292832)

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scientific article; zbMATH DE number 1322015
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English
Vertex-disjoint claws in graphs
scientific article; zbMATH DE number 1322015

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    Vertex-disjoint claws in graphs (English)
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    10 April 2000
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    Let \(\delta(G)\) denote the minimum degree of a graph \(G\). The authors prove that a graph \(G\) of order at least \(4k+6\) with \(\delta(G)\geq k+2\) contains \(k\) pairwise vertex-disjoint \(K_{1,3}\)'s. The conditions on the minimum degree and on the order of the graph are best possible in a sense.
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    factor
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    claws
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    minimum degree
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