Independence polynomials and hypergeometric series

DOI10.1112/blms.12545arXiv1908.11231OpenAlexW3207217747MaRDI QIDQ6175070

Danylo V. Radchenko, Fernando Rodriguez Villegas

Publication date: 17 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11231

zbMATH Keywords

chordal graphsmultivariate independence polynomial

Mathematics Subject Classification ID

Graph polynomials (05C31) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Other hypergeometric functions and integrals in several variables (33C70) Appell, Horn and Lauricella functions (33C65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• Combinatorics and complexity of partition functions
• Wild character varieties, points on the Riemann sphere and Calabi's examples
• A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Algorithmic graph theory and perfect graphs
• Goursat rigid local systems of rank four
• Incidence matrices and interval graphs
• Dimensions of solution spaces of \(H\)-systems
• The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma
• Combinatorial problems of commutation and rearrangements
• The geometry of some special arithmetic quotients
• Classical Algebraic Geometry
• The Structure of Bivariate Rational Hypergeometric Functions
• The Dilogarithm Function
• Conformal Field Theory and Torsion Elements of the Bloch Group
• Rigid Local Systems. (AM-139)
• A Binomial Identity Arising from a Sorting Problem
• Self-dual configurations and regular graphs