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Balanced \(0,\pm 1\) matrices. II: Recognition algorithm. (English) Zbl 1026.05017
Summary: We give a polynomial time recognition algorithm for balanced \(0\), \(\pm 1\) matrices. This algorithm is based on a decomposition theorem proved in a companion paper; cf. the authors [ibid. 81, 243-274 (2001; Zbl 1026.05016)].

MSC:
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
05C22 Signed and weighted graphs
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[1] M. Conforti, G. Cornuéjols, A. Kapoor, and, K. Vušković, Balanced 0, ±1 matrices. I. Decomposition, J. Combin. Theory Ser. B, in press;.
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