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\(2m\)-cycle systems of \(K_{2m+1}\backslash C_m\) - MaRDI portal

\(2m\)-cycle systems of \(K_{2m+1}\backslash C_m\) (Q1376058)

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scientific article; zbMATH DE number 1106798
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English
\(2m\)-cycle systems of \(K_{2m+1}\backslash C_m\)
scientific article; zbMATH DE number 1106798

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    \(2m\)-cycle systems of \(K_{2m+1}\backslash C_m\) (English)
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    2 December 1998
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    The author shows that the edge set of the complete graph on \(2m+1\) vertices can be decomposed into \(m\) cycles of length \(2m\) and one cycle of length \(m\). Thus, the paper constitutes another partial solution of a well-known problem of Alspach.
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    cycle
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    complete graph
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    decomposition
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    problem of Alspach
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