Perfect and Ideal 0, ±1 Matrices

  • Authors:

  • Sumit Sarkar;Deb Ghosh;Bertrand Guenin

  • Affiliations:

  • -;-;-

  • Venue:
  • Mathematics of Operations Research
  • Year:
  • 1998

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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.