Article ID Journal Published Year Pages File Type
9516048 Journal of Combinatorial Theory, Series B 2005 19 Pages PDF
Abstract
A 0,±1 matrix is balanced if it does not contain a square submatrix with two nonzero elements per row and column in which the sum of all entries is 2 modulo 4. Conforti et al. (J. Combin. Theory B 77 (1999) 292; B 81 (2001) 275), provided a polynomial algorithm to test balancedness of a matrix. In this paper we present a simpler polynomial algorithm, based on techniques introduced by Chudnovsky and Seymour (Combinatorica, to appear) for Berge graphs.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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