TY - GEN

T1 - Breaking symmetries in graphs

T2 - 22nd International Conference on Principles and Practice of Constraint Programming, CP 2016

AU - Codish, Michael

AU - Gange, Graeme

AU - Itzhakov, Avraham

AU - Stuckey, Peter J.

N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Symmetry breaking is an essential component when solving graph search problems as it restricts the search space to that of canonical representations. There are an abundance of powerful tools, such as nauty, which apply to find the canonical representation of a given graph and to test for isomorphisms given a set of graphs. In contrast, for graph search problems, current symmetry breaking techniques are partial and solvers unnecessarily explore an abundance of isomorphic parts of the search space. This paper is novel in that it introduces complete symmetry breaking for graph search problems by modeling, in terms of constraints, the same ideas underlying the algorithm applied in tools like nauty. Whereas nauty tests given graphs, symmetry breaks restrict the search space and apply during generation.

AB - Symmetry breaking is an essential component when solving graph search problems as it restricts the search space to that of canonical representations. There are an abundance of powerful tools, such as nauty, which apply to find the canonical representation of a given graph and to test for isomorphisms given a set of graphs. In contrast, for graph search problems, current symmetry breaking techniques are partial and solvers unnecessarily explore an abundance of isomorphic parts of the search space. This paper is novel in that it introduces complete symmetry breaking for graph search problems by modeling, in terms of constraints, the same ideas underlying the algorithm applied in tools like nauty. Whereas nauty tests given graphs, symmetry breaks restrict the search space and apply during generation.

UR - http://www.scopus.com/inward/record.url?scp=84986203077&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-44953-1_11

DO - 10.1007/978-3-319-44953-1_11

M3 - Conference contribution

AN - SCOPUS:84986203077

SN - 9783319449524

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 157

EP - 172

BT - Principles and Practice of Constraint Programming - 22nd International Conference, CP 2016, Proceedings

A2 - Rueher, Michel

PB - Springer Verlag

Y2 - 5 September 2016 through 9 September 2016

ER -