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math.CO2026
Stellahedral geometry of partially ordered sets
Tommaso Faustini, Luis Ferroni, Ludovico Piazza
We introduce a transformation on partially ordered sets, termed the \emph{stellahedral transform}, with notable features. It preserves the properties of being Eulerian, Cohen--Maca…
math.CO2025
Almost-valuative invariants of connected split matroids: The cd-index
Tommaso Faustini, Alejandro Vargas
We derive a formula for matroid invariants on a large family of matroids, provided that is almost-valuative, namely, it satisfies a hyperplane-cut formula. Our primary appl…