Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tropical Spectral Theory of Tensors   We introduce and study tropical eigenpairs of tensors, a generalization of
the tropical spectral theory of matrices. We show the existence and uniqueness
of an eigenvalue. We associate to a tensor a directed hypergraph and define a
new type of cycle on a hypergraph, which we call an H-cycle. The eigenvalue of
a tensor turns out to be equal to the minimal normalized weighted length of
H-cycles of the associated hypergraph. We show that the eigenvalue can be
computed efficiently via a linear program. Finally, we suggest possible
directions of research.

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The categories of this paper are: plasm-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: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga