Perfect and ideal 0, +/− 1 matrices

Perfect and ideal 0, +/− 1 matrices

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Article ID: iaor2004696
Country: United States
Volume: 23
Issue: 2
Start Page Number: 322
End Page Number: 338
Publication Date: May 1998
Journal: Mathematics of Operations Research
Authors:
Keywords: Covering, packing
Abstract:

A 0, +/−1 matrix A is said to be perfect (resp. ideal) if the corresponding generalized packing (resp. covering) polytope is integral. Given a 0, +/−1 matrix A, we construct a 0, 1 matrix that is perfect if and only if A is perfect. A similar result is obtained for the generalized covering problem. We also extend some known results on perfect 0, 1 matrices to the 0, +/−1 case.

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