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arXiv · 2609.15784

A Möbius function computing $h$-polynomials of nestohedra

Nicolas Avila Ramirez·Sergio A. Carrillo·Rafael S. González D'León
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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.

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Nicolas Avila Ramirez, Sergio A. Carrillo, Rafael S. González D'León. 2026-09-14. A Möbius function computing $h$-polynomials of nestohedra. https://arxiv.org/abs/2609.15784

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