Pruning by Isomorphism in Branch-and-Cut

The paper presents a branch-and-cut for solving (0, 1) integer linear programs having a large symmetry group. The group is used for pruning the enumeration tree and for generating cuts. The cuts are non-standard, cutting integer feasible solutions but leaving the optimal value of the problem unchanged. Pruning and cut generation are performed by backtracking procedures using a Schreier-Sims table for representing the group. Applications to hard set covering problems and to the generation of covering designs and error correcting codes are presented. Key words. branch-and-cut

• Type: Conference
• Year: 2001
• Where: IPCO
• Authors: François Margot
• Keywords: Integer Linear Programs, IPCO 2001, IPCO 2007, Large Symmetry Group, Pruning