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Optimization with binet matrices

Appa, Gautam and Kotnyek, Balázs (2003) Optimization with binet matrices. Operational Research working papers, LSEOR 03.59. Department of Operational Research, London School of Economics and Political Science, London, UK.

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Identification Number: LSEOR 03.59

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.

Item Type: Monograph (Working Paper)
Official URL: http://www.lse.ac.uk/collections/operationalResear...
Additional Information: © 2003 London School of Economics and Political Science
Subjects: Q Science > QA Mathematics
Sets: Research centres and groups > Management Science Group
Date Deposited: 06 Mar 2009 16:20
Last Modified: 06 Jun 2012 17:16
URI: http://eprints.lse.ac.uk/id/eprint/22768

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