Year: 2026
Type: preprint
Abstract: Recently, Ehrenborg, Hetyei and Readdy expressed the toric $g$-polynomial of a simple polytope as a linear combination of a family of polynomials, called $g$-contribution polynomials, with coefficients given by the entries of its gamma-vector. They conjectured that these toric $g$-contribution polynomials are real-rooted. This paper proves this conjecture.
Source: arXiv (Cornell University)
Author: Xiao, Qiqi
Institution: Dalian University of Technology
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7206201862