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Bicolorings and equitable bicolorings of matrices

Conforti, Michele, Cornuéjols, Gérard and Zambelli, Giacomo (2004) Bicolorings and equitable bicolorings of matrices. In: Grötschel, Martin , (ed.) The sharpest cut : the impact of Manfred Padberg and his work. MPS-SIAM series on optimization . Society for Industrial and Applied Mathematics, Philadelphia, USA, pp. 33-37. ISBN 9780898715521

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Abstract

Two classical theorems of Ghouila-Houri and Berge characterize total unimodularity and balancedness in terms of equitable bicolorings and bicolorings, respectively. In this paper, we prove a bicoloring result that provides a common generalization of these two theorems.

Item Type: Book Section
Official URL: http://www.ec-securehost.com/cgi-bin/SIAM/search.c...
Additional Information: © 2004 Society for Industrial and Applied Mathematics
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Management
Rights: http://www.lse.ac.uk/library/rights/LSERO.htm
URL: http://eprints.lse.ac.uk/31727/

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