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On the longest monochromatic paths in edge-colored tournaments - MaRDI portal

On the longest monochromatic paths in edge-colored tournaments (Q2748945)

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scientific article; zbMATH DE number 1663564
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English
On the longest monochromatic paths in edge-colored tournaments
scientific article; zbMATH DE number 1663564

    Statements

    22 July 2002
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    longest paths
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    tournament
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    monochromatic path
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    On the longest monochromatic paths in edge-colored tournaments (English)
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    Let \(T\) denote a tournament with at least \(2k(k+1)/3+2\) nodes each of whose edges is coloured either red or blue. The author shows that such a tournament contains a monochromatic path of length \(k\).
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