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On tree partitions - MaRDI portal

On tree partitions (Q2744375)

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scientific article; zbMATH DE number 1648967
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On tree partitions
scientific article; zbMATH DE number 1648967

    Statements

    2 May 2002
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    tree
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    vertex partition
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    splitting number
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    On tree partitions (English)
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    Let \(G=(V,E)\) be a graph. Then the splitting number of \(G\) is the maximum size of \(R,R\subset V,\) so that there exists \(S\subset V\) with the property that the subgraphs induced by \(V-R\) and \(V-S\) are isomorphic. The author determines the splitting number for trees of maximum degree three having at most one vertex of degree two.
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