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A Möbius function computing h-polynomials of nestohedra
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.
Related
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- Short sums of the Möbius function over function fields
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BibTeX
@misc{ramirez2026möbius,
title = {{A Möbius function computing $h$-polynomials of nestohedra}},
author = {Nicolas Avila Ramirez and Sergio A. Carrillo and Rafael S. González D'León},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15784},
eprint = {2609.15784},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15784},
}
RIS
TY - UNPB
TI - A Möbius function computing h-polynomials of nestohedra
AU - Nicolas Avila Ramirez
AU - Sergio A. Carrillo
AU - Rafael S. González D'León
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15784
UR - https://arxiv.org/abs/2609.15784
AB - 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.
ER -