Breaking Symmetries in Graph Representation

Michael Codish, Alice Miller, Patrick Prosser and Peter Stuckey   

IJCAI 2013, Proceedings of the 23rd International Joint Conference on Artificial Intelligence; 2013

Abstract:

There are many complex combinatorial problems which involve searching for an undirected graph satisfying a certain property. These problems are often highly challenging because of the large number of isomorphic representations of a possible solution. In this paper we introduce novel, effective and compact, symmetry breaking constraints for undirected graph search. While incomplete, these prove highly beneficial in pruning the search for a graph. We illustrate the application of symmetry breaking in graph representation to resolve several open instances in extremal graph theory.

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Michael Codish
The Department of Computer Science
Ben-Gurion University of the Negev
PoB 653, Beer-Sheva, 84105, Israel
mcodish@cs.bgu.ac.il

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