Testing balancedness and perfection of linear matrices

Testing balancedness and perfection of linear matrices

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Article ID: iaor19942302
Country: Netherlands
Volume: 61
Issue: 1
Start Page Number: 1
End Page Number: 18
Publication Date: Aug 1993
Journal: Mathematical Programming (Series A)
Authors: ,
Keywords: matrices, programming: integer
Abstract:

A (0,1) matrix is linear if it does not contain a 2×2 submatrix of all ones. In this paper the authors 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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