The Linear Programming Polytope of Binary Constraint Problems with Bounded Tree-Width

  • Authors:
  • Meinolf Sellmann;Luc Mercier;Daniel H. Leventhal

  • Affiliations:
  • Brown University, Department of Computer Science, 115 Waterman Street, P.O. Box 1910, Providence, RI 02912,;Brown University, Department of Computer Science, 115 Waterman Street, P.O. Box 1910, Providence, RI 02912,;Brown University, Department of Computer Science, 115 Waterman Street, P.O. Box 1910, Providence, RI 02912,

  • Venue:
  • CPAIOR '07 Proceedings of the 4th international conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

We show how to efficiently model binary constraint problems (BCP) as integer programs. After considering tree-structured BCPs first, we show that a Sherali-Adams-like procedure results in a polynomial-size linear programming description of the convex hull of all integer feasible solutions when the BCP that is given has bounded tree-width.