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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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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
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Additional Information: © 2004 Society for Industrial and Applied Mathematics
Divisions: Management
Subjects: Q Science > QA Mathematics
Date Deposited: 26 Jan 2011 14:33
Last Modified: 11 Oct 2021 23:03

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