Symmetry breaking

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Abstract

Symmetries in constraint satisfaction or combinatorial optimization problems can cause considerable difficulties for exact solvers. One way to overcome the problem is to employ sophisticated models with no or at least less symmetries. However, this often requires a lot of experience from the user who is carrying out the modeling. Moreover, some problems even contain inherent symmetries that cannot be broken by remodeling. We present an approach that detects symmetric choice points during the search. It enables the user to find solutions for complex problems with minimal effort spent on modeling.

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Fahle, T., Schamberger, S., & Sellmann, M. (2001). Symmetry breaking. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2239, pp. 93–107). Springer Verlag. https://doi.org/10.1007/3-540-45578-7_7

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