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arXiv · 1707.03914

Enumerating Vertices of $0/1$-Polyhedra associated with $0/1$-Totally Unimodular Matrices

Khaled Elbassioni·Kazuhisa Makino
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Abstract

We give an incremental polynomial time algorithm for enumerating the vertices of any polyhedron $\mathcal{P}(A,\mathbf{1})=\{x\in\RR^n \mid Ax\geq \b1,~x\geq \b0\}$, when $A$ is a totally unimodular matrix. Our algorithm is based on decomposing the hypergraph transversal problem for unimodular hypergraphs using Seymour's decomposition of totally unimodular matrices, and may be of independent interest.

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Khaled Elbassioni, Kazuhisa Makino. 2017-07-12. Enumerating Vertices of $0/1$-Polyhedra associated with $0/1$-Totally Unimodular Matrices. https://arxiv.org/abs/1707.03914

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