Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The maximum multiplicity of an eigenvalue of symmetric matrices with a
  given graph   For a graph G, M(G) denotes the maximum multiplicity occurring of an
eigenvalue of a symmetric matrix whose zero-nonzero pattern is given by edges
of G. We introduce two combinatorial graph parameters T^-(G) and T^+(G) that
give a lower and an upper bound for M(G) respectively, and we show that these
bounds are sharp.

14
The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: stat