Integer Decomposition for Polyhedra Defined by Nearly Totally Unimodular Matrices

Abstract

We call a matrix A nearly totally unimodular if it can be obtained from a totally unimodular matrix à by adding to each row of à an integer multiple of some fixed row a of Ã. For an integer vector b and a nearly totally unimodular matrix A, we denote by PA,b the integer hull of the set {x ∈ R | Ax ≤ b}. We show that PA,b has the integer decomposition… (More)
DOI: 10.1137/S089548010343569X

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Cite this paper

@article{Gijswijt2005IntegerDF, title={Integer Decomposition for Polyhedra Defined by Nearly Totally Unimodular Matrices}, author={Dion Gijswijt}, journal={SIAM J. Discrete Math.}, year={2005}, volume={19}, pages={798-806} }