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Optimization with binet matrices

By Gautam Appa and Balázs Kotnyek

Abstract

This paper deals with linear and integer programming problems in which the constraint matrix is a binet matrix. Binet matrices are pivoted versions of the node-edge incidence matrices of bidirected graphs. It is shown that efficient methods are available to solve such optimization problems. Linear programs can be solved with the generalized network simplex method, while integer programs are converted to a matching problem. It is also proved that an integral binet matrix has strong Chvátal rank 1. An example of binet matrices, namely matrices with at most three non-zeros per row, is given

Topics: QA Mathematics
Publisher: Department of Operational Research, London School of Economics and Political Science
Year: 2003
OAI identifier: oai:eprints.lse.ac.uk:22768
Provided by: LSE Research Online
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