On integer programing with bounded determinants

Dmitry Gribanov, Sergey Veselov

Let $A$ be an $(m\times n)$ integral matrix, and let $P=\{x:Ax\le b\}$ be an $n$-dimensional polytope. The width of $P$ is defined as $ w(P)=min\{ x\in \mathbb{Z}^n\setminus…