Bicolorings and equitable bicolorings of matrices

Conforti, M., Cornuéjols, G. & Zambelli, G. (2004). Bicolorings and equitable bicolorings of matrices. In Grötschel, M. (Ed.), The Sharpest Cut : the Impact of Manfred Padberg and His Work (pp. 33-37). Society for Industrial and Applied Mathematics.
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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.

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