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arXiv · 0806.0251

On Hamilton Decompositions

Dhananjay P. Mehendale
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Abstract

P. J. Kelly conjectured in 1968 that every diregular tournament on (2n+1) points can be decomposed in directed Hamilton circuits [1]. We define so called leading diregular tournament on (2n+1) points and show that it can be decomposed in directed Hamilton circuits when (2n+1) is a prime number. When (2n+1) is not a prime number this method does not work and we will need to devise some another method. We also propose a general method to find Hamilton decomposition of certain tournament for all sizes.

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Dhananjay P. Mehendale. 2008-06-28. On Hamilton Decompositions. https://arxiv.org/abs/0806.0251

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