Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unlabeled Signed Graph Coloring   We extend the work of Hanlon on the chromatic polynomial of an unlabeled
graph to define the unlabeled chromatic polynomial of an unlabeled signed
graph. Explicit formulas are presented for labeled and unlabeled signed
chromatic polynomials as summations over distinguished order-ideals of the
signed partition lattice. We also define the quotient of a signed graph by a
signed permutation, and show that its signed graphic arrangement is closely
related to an induced arrangement on a distinguished subspace. Lastly, a
formula for the number of unlabeled acyclic orientations of a signed graph is
presented which recalls classical reciprocity theorems of Stanley and
Zaslavsky.

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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th