#ehrhart theory
topicehrhart theory
3 papers · 1 filter
math.CO2026
Alternating adjacent-sum polytopes: transfer matrices and Ehrhart series
Xinru Jiang, Suzhen Wen, Yueming Zhong
The paper investigates a family of alternating adjacent‑sum lattice polytopes, deriving explicit transfer‑matrix representations and detailed Ehrhart generating functions, recurren…
math.CO2026
Several properties of summatory Ehrhart polynomials and series of convex lattice polytopes
Takashi Hirotsu
The paper studies the summatory Ehrhart polynomial and its associated series for convex lattice polytopes, establishing fundamental properties and a reciprocity law analogous to th…
math.CO2026
Oriented Matroid Circuit Polytopes
Laura Escobar, Jodi McWhirter
The paper studies polytopes defined from the signed circuits and cocircuits of oriented matroids, giving dimension formulas, face descriptions, Ehrhart series, and symmetric group…