Abstract
A (0, 1) matrix is linear if it does not contain a 2×2 submatrix of all ones. In this paper we give polynomial algorithms to test whether a linear matrix is balanced or perfect. The algorithms are based on decomposition results previously obtained by the authors.
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Partial support under NSF Grants DMS 8606188, DDM8800281 and DDM9001705.
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Conforti, M., Rao, M.R. Testing balancedness and perfection of linear matrices. Mathematical Programming 61, 1–18 (1993). https://doi.org/10.1007/BF01582135
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DOI: https://doi.org/10.1007/BF01582135