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arXiv · 2604.18824

Symmetric and unimodal independence polynomials of trees

Takayuki Hibi·Selvi Kara·Dalena Vien
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Abstract

Given $n \geq 1$, we study the existence of a tree on $n$ vertices whose independence polynomial is symmetric and unimodal as well as the existence of a symmetric and unimodal independence polynomial of degree $n$ of a tree.

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Takayuki Hibi, Selvi Kara, Dalena Vien. 2026-04-20. Symmetric and unimodal independence polynomials of trees. https://arxiv.org/abs/2604.18824

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