Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Hamilton Cycle Decompositions of Tensor Products of Graphs   A Hamiltonian decomposition of $G$ is a partition of its edge set into
disjoint Hamilton cycles. Manikandan and Paulraja conjectured that if $G$ and
$H$ are Hamilton cycle decomposable circulant graphs with at least one of them
is nonbipartite, then their tensor product is Hamilton cycle decomposable. In
this paper, we have proved that, if $G$ is a Hamilton cycle decomposable
circulant graph with certain properties and $H$ is a Hamilton cycle
decomposable multigraph, then their tensor product is Hamilton cycle
decomposable. In particular, tensor products of certain sparse Hamilton cycle
decomposable circulant graphs are Hamilton cycle decomposable.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an