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On biclique coverings - MaRDI portal

On biclique coverings (Q2468013)

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On biclique coverings
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    On biclique coverings (English)
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    30 January 2008
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    The second author showed that if the edge set of the complete bipartite graph \(K_{n,n}\) with a matching removed can be covered by \(k\) complete bipartite graphs then \(n\leq \binom {k}{\frac {k}{2}}\). In this paper a simpler proof is provided and it it shown that the bound is tight.
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    graph coverings
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    bicliques
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    Sperner's theorem
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    graph composition
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    lexicographic product
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