1 citations · 1 across the 1 of their papers we have counts for
2 papers
math.CO2025
An arithmetic measure of width for convex bodies
Jesús A. De Loera, Brittney Marsters, Christopher O'Neill
We introduce the arithmetic width of a convex body, defined as the number of distinct values a linear functional attains on the lattice points within the body. Arithmetic width ref…
math.OC2024★ 1 cited
Integer Points in Arbitrary Convex Cones: The Case of the PSD and SOC Cones
Jesús A. De Loera, Brittney Marsters, Luze Xu +1
We investigate the semigroup of integer points inside a convex cone. We extend classical results in integer linear programming to integer conic programming. We show that the semigr…