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arXiv · 1908.11231

Independence Polynomials and Hypergeometric Series

Danylo Radchenko·Fernando Rodriguez Villegas
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Abstract

Let $\Gamma$ be a simple graph and $I_\Gamma(x)$ its multivariate independence polynomial. The main result of this paper is the characterization of chordal graphs as the only $\Gamma$ for which the power series expansion of $I_\Gamma^{-1}(x)$ is Horn hypergeometric.

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Danylo Radchenko, Fernando Rodriguez Villegas. 2019-08-29. Independence Polynomials and Hypergeometric Series. https://arxiv.org/abs/1908.11231

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