3 research outputs found
Integer decomposition for polyhedra defined by nearly totally unimodular matrices
We call a matrix nearly totally unimodular if it can be obtained from a totally unimodular matrix by adding to each row of an integer multiple of some fixed row a^{\ssf T} of . For an integer vector and a nearly totally unimodular matrix , we denote by the integer hull of the set . We show that has the integer decomposition property and that we can find a decomposition of a given integer vector in polynomial time