3 papers
math.CO2026
Sylvester simplices: Triangulations and Ehrhart-theoretic aspects
Jhon B. Caicedo, Federico Castillo, Martina Juhnke +1
The Sylvester simplex is a -dimensional lattice simplex with exactly interior lattice points. Sylvester simplices are conjectured to be the volume maximi…
math.CO2026
Unimodular triangulations and Ehrhart theory for two families of Hermite normal form simplices
Justus Bruckamp, Jhon B. Caicedo, Martina Juhnke
We study regular unimodular triangulations, the integer decomposition property, and Ehrhart-theoretic properties of two families of Hermite normal form simplices. We first consider…
math.CO2025
Ehrhart non-positivity and unimodular triangulations for classes of s-lecture hall simplices
Jhon B. Caicedo, Martina Juhnke, Germain Poullot
Counting lattice points and triangulating polytopes is a prominent subject in discrete geometry, yet proving Ehrhart positivity or existence of unimodular triangulations remain of…