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The real-rootedness of the toric g-contribution polynomials
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.
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BibTeX
@misc{xiao2026realrootedness,
title = {{The real-rootedness of the toric $g$-contribution polynomials}},
author = {Qiqi Xiao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01086},
eprint = {2609.01086},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01086},
}
RIS
TY - UNPB
TI - The real-rootedness of the toric g-contribution polynomials
AU - Qiqi Xiao
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01086
UR - https://arxiv.org/abs/2609.01086
AB - 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.
ER -