Decomposing \(k\)-arc-strong tournaments into strong spanning subdigraphs (Q558238)
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scientific article; zbMATH DE number 2186321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposing \(k\)-arc-strong tournaments into strong spanning subdigraphs |
scientific article; zbMATH DE number 2186321 |
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Decomposing \(k\)-arc-strong tournaments into strong spanning subdigraphs (English)
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5 July 2005
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The Kelly conjecture states that every regular tournament on \(2k+1\) vertices has a decomposition into \(k\) arc-disjoint Hamiltonian cycles. The authors formulate a generalization of this conjecture, i.e., every \(k\)-arc-strong tournament contains \(k\) arc-disjoint spanning strong subdigraphs. Several results supporting this conjecture are proved.
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Hamiltonian cycles
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decomposition
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Kelly conjecture
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