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: | Guenin B. |
Keywords: | Covering, packing |
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.