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| Content Provider | Springer Nature Link |
|---|---|
| Author | Itzhakov, Avraham Codish, Michael |
| Copyright Year | 2016 |
| Abstract | There are many complex combinatorial problems which involve searching for an undirected graph satisfying given constraints. Such problems are often highly challenging because of the large number of isomorphic representations of their solutions. This paper introduces effective and compact, complete symmetry breaking constraints for small graph search. Enumerating with these symmetry breaks generates all and only non-isomorphic solutions. For small search problems, with up to 10 vertices, we compute instance independent symmetry breaking constraints. For small search problems with a larger number of vertices we demonstrate the computation of instance dependent constraints which are complete. We illustrate the application of complete symmetry breaking constraints to extend two known sequences from the OEIS related to graph enumeration. We also demonstrate the application of a generalization of our approach to fully-interchangeable matrix search problems. |
| Starting Page | 357 |
| Ending Page | 374 |
| Page Count | 18 |
| File Format | |
| ISSN | 13837133 |
| Journal | Constraints |
| Volume Number | 21 |
| Issue Number | 3 |
| e-ISSN | 15729354 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2016-04-02 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Graph search problems Symmetry breaking SAT solving Artificial Intelligence (incl. Robotics) Optimization Computing Methodologies Operation Research/Decision Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Discrete Mathematics and Combinatorics Artificial Intelligence Computational Theory and Mathematics Software |
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