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Almost self-complementary factors of complete bipartite graphs - MaRDI portal

Almost self-complementary factors of complete bipartite graphs (Q1356470)

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scientific article; zbMATH DE number 1018523
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Almost self-complementary factors of complete bipartite graphs
scientific article; zbMATH DE number 1018523

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    Almost self-complementary factors of complete bipartite graphs (English)
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    8 October 1997
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    It is proved that the graph \(K_{2n+1,2m+1}\) minus one edge can be decomposed into two isomorphic factors with a given diameter \(d\) only if \(3\leq d\leq 6\) or if \(d=\infty\); in each case the decomposable graphs are completely characterized. Moreover, for \(d=\infty\) all classes of possible disconnected factors are determined.
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    almost complete bipartite graph
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    factorization
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