2 papers
math.CO2025
Totally equimodular matrices: decomposition and triangulation
Patrick Chervet, Roland Grappe, Mathieu Vallée
Totally equimodular matrices generalize totally unimodular matrices and arise in the context of box-total dual integral polyhedra. This work further explores the parallels between…
cs.DM2018
Principally Box-integer Polyhedra and Equimodular Matrices
Patrick Chervet, Roland Grappe, Louis-Hadrien Robert
A polyhedron is box-integer if its intersection with any integer box is integer. We define principally box-integer polyhedra to be the polyhedra such th…