Work

Palindromic real-rooted polynomials and $h$-vectors of polytopes

Year: 2026

Type: preprint

Abstract: We prove that every monic palindromic real-rooted polynomial with nonnegative integer coefficients is the $h$-polynomial of a simplicial convex polytope. This resolves in the affirmative a longstanding problem circulated by Brenti since 2004.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.00781

Authors: Guo, Peter L., Kang, Mingyang

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Award: G1288550874

OpenAlex ID: W7206199834

Cites: 1

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Related to: 10