Symmetries in Integer Programs
Combinatorics
2009-08-25 v1 Optimization and Control
Abstract
The notion of symmetry is defined in the context of Linear and Integer Programming. Symmetric integer programs are studied from a group theoretical viewpoint. We investigate the structure of integer solutions of integer programs and show that any integer program on n variables having an alternating group A_n as a group of symmetries can be solved in linear time in the number of variables.
Cite
@article{arxiv.0908.3331,
title = {Symmetries in Integer Programs},
author = {R. Bödi and K. Herr},
journal= {arXiv preprint arXiv:0908.3331},
year = {2009}
}
Comments
16 pages, 4 figures