Chapter 13. Dantzig-Wolfe Decomposition for Linearly Constrained Stable Set Problem

  1. Vangelis Th. Paschos
  1. Virginie Gabrel

Published Online: 3 FEB 2010

DOI: 10.1002/9780470611098.ch13

Combinatorial Optimization and Theoretical Computer Science

Combinatorial Optimization and Theoretical Computer Science

How to Cite

Gabrel, V. (2010) Dantzig-Wolfe Decomposition for Linearly Constrained Stable Set Problem, in Combinatorial Optimization and Theoretical Computer Science (ed V. Th. Paschos), ISTE, London, UK. doi: 10.1002/9780470611098.ch13

Publication History

  1. Published Online: 3 FEB 2010
  2. Published Print: 1 JAN 2008

ISBN Information

Print ISBN: 9781848210219

Online ISBN: 9780470611098

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Keywords:

  • decomposition schemes;
  • additional variables;
  • integrality property;
  • linear programming;
  • auxiliary problem

Summary

This chapter contains sections titled:

  • Introduction

  • The Dantzig-Wolfe decomposition in 0–1 linear programming

  • The stable set problem with additional linear constraints

  • Dantzig-Wolfe decomposition on stable set constraints: strengthening the LP-relaxation

  • Conclusion

  • Bibliography