New Bounds for the Integer Carathéodory Rank

Iskander Aliev, Martin Henk, Mark Hogan +2

Given a rational pointed $n$-dimensional cone $C$, we study the integer Carathéodory rank $\mathrm{CR}(C)$ and its asymptotic form $\mathrm{C}{\mathrm{R}}^{\mathrm{a}}(C)$, where we co…