Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The probability of selecting $k$ edge-disjoint Hamilton cycles in the
  complete graph   Let $H_1,\dots,H_k$ be Hamilton cycles in $K_n$, chosen independently and
uniformly at random. We show, for $k = o(n^{1/100})$, that the probability of
$H_1,\dots,H_k$ being edge-disjoint is $(1+o(1))e^{-2\binom{k}{2}}$. This
extends a corresponding estimate obtained by Robbins in the case $k=2$.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con