Skip to main content
Discussion Paper

Matrices with Identical Sets of Neighbors

Given a generic m by n matrix A, a lattice point h in Z is a neighbor of the origin if the body {x : Ax < b}, with bi = max{0, aih}, i = 1, …, m, contains no lattice point other than 0 and h. The set of neighbors, N(A), is finite and Asymmetric.