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A decomposition of complete bipartite graphs into edge-disjoint subgraphs with star components - MaRDI portal

A decomposition of complete bipartite graphs into edge-disjoint subgraphs with star components (Q1078203)

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scientific article; zbMATH DE number 3959479
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A decomposition of complete bipartite graphs into edge-disjoint subgraphs with star components
scientific article; zbMATH DE number 3959479

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    A decomposition of complete bipartite graphs into edge-disjoint subgraphs with star components (English)
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    1986
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    The complete bipartite graph \(k_{1,m}\), \(m\geq 1\), is called a star. In this note it is shown, for \(n\geq 4\), that the minimum number of star- subgraphs which partition the edges of \(k_{2n-1,2n-1}\) or \(k_{2n,2n}\) is \(n+2\).
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    edge partition
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    complete bipartite graph
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    star
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    partition
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