Independence polynomials and hypergeometric series

Radchenko, Danylo; Villegas, Fernando Rodriguez

doi:10.1112/blms.12545

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Independence polynomials and hypergeometric series

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Radchenko, Danylo
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1112/blms.12545
(Publisher version)

https://doi.org/10.48550/arXiv.1908.11231
(Preprint)

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Radchenko-Villegas_ Independence polynomials and hypergeometric series_2021.pdf
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Citation

Radchenko, D., & Villegas, F. R. (2021). Independence polynomials and hypergeometric series. Bulletin of the London Mathematical Society, 53(6), 1834-1848. doi:10.1112/blms.12545.

Cite as: https://hdl.handle.net/21.11116/0000-000A-21B3-6

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.