A 12-integral relaxation for the A-matching problem

  • Authors:
  • Robert Carr;Ojas Parekh

  • Affiliations:
  • Sandia National Laboratories, Albuquerque, NM, USA;Emory University, Math/CS Department, 400 Dowman Dr., Suite W401, Atlanta GA, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 2006

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Abstract

The A-matching problem generalizes matching problems by stipulating that the degree of each vertex lies in a set A"v of admissible values. If these sets have no large ''gaps'', the decision problem is in P, while the complexity of the optimization version is open. We present a polynomial time solvable 12-integral linear relaxation for this case.