Large sets of Hamilton cycle decompositions of complete bipartite graphs (Q932831)

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scientific article; zbMATH DE number 5300783
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Large sets of Hamilton cycle decompositions of complete bipartite graphs
scientific article; zbMATH DE number 5300783

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    Large sets of Hamilton cycle decompositions of complete bipartite graphs (English)
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    11 July 2008
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    Let \(K_{p,p}\) be the complete bipartite graph with \(p\) vertices in each partite set. The authors prove that there exist a large set of Hamilton cycle decomposition of \(K_{2t,2t}\) and a large Hamilton cycle decomposition of \(K_{2t+1,2t+1}-I\), where \(I\) is a perfect matching.
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    Hamilton cycle decomposition
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    Complete bipartite graph
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