Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Hamilton Decompositions   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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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph