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math.CO2026
The number of edges of a symmetric edge polytope
Giulia Codenotti, Roberto Riccardi, Lorenzo Venturello
The symmetric edge polytope of a simple graph is a lattice polytope defined as the convex hull of a subset of the type A roots corresponding to the edges of the graph. In this arti…
math.CO2025
Local -polynomials for one-row Hermite normal form simplices
Esme Bajo, Benjamin Braun, Giulia Codenotti +2
The local -polynomial of a lattice polytope is an important invariant arising in Ehrhart theory. Our focus is on lattice simplices presented in Hermite normal form with a sing…