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arXiv · 0908.3411

Hamilton decompositions of regular tournaments

Daniela Kühn·Deryk Osthus·Andrew Treglown
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Abstract

We show that every sufficiently large regular tournament can almost completely be decomposed into edge-disjoint Hamilton cycles. More precisely, for each η>0 every regular tournament G of sufficiently large order n contains at least (1/2-η)n edge-disjoint Hamilton cycles. This gives an approximate solution to a conjecture of Kelly from 1968. Our result also extends to almost regular tournaments.

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Daniela Kühn, Deryk Osthus, Andrew Treglown. 2009-12-16. Hamilton decompositions of regular tournaments. https://doi.org/10.1112/plms%2Fpdp062

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