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math.CO2026
A Möbius function computing -polynomials of nestohedra
Nicolas Avila Ramirez, Sergio A. Carrillo, Rafael S. González D'León
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…
math.CO2026
Weighted bond posets and a new chromatic symmetric function
Rafael S. González D'León, Michelle L. Wachs
The classical bond lattice of a graph was used in a formula of Whitney to compute the chromatic polynomial. In this paper, we use weighted versions of the bond lattice, to introduc…