Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cycle packings of the complete multigraph   Bryant, Horsley, Maenhaut and Smith recently gave necessary and sufficient
conditions for when the complete multigraph can be decomposed into cycles of
specified lengths $m_1,m_2,\ldots,m_\tau$. In this paper we characterise
exactly when there exists a packing of the complete multigraph with cycles of
specified lengths $m_1,m_2,\ldots,m_\tau$. While cycle decompositions can give
rise to packings by removing cycles from the decomposition, in general it is
not known when there exists a packing of the complete multigraph with cycles of
various specified lengths.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
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The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs