Work

A Möbius function computing $h$-polynomials of nestohedra

Year: 2026

Type: preprint

Abstract: We introduce a poset of weighted hypergraphs on a fixed vertex set which has a remarkable property: the Möbius values of the intervals associated to any hypergraph give, up to sign, the coefficients of the $h$-polynomial of its nestohedron. We exploit this relation to provide two new recurrence relations to compute $h$-polynomials of nestohedra.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.15784

Authors: Ramirez, Nicolas Avila, Carrillo, Sergio A., D'León, Rafael S. González

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213324881

Cites: 12

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Related to: 10