Computing canonical images in permutation groups with Graph Backtracking

Christopher Jefferson, Rebecca Waldecker, Wilf A. Wilson · arXiv (Cornell University) · 2022

We describe a new algorithm for finding a canonical image of an object under the action of a finite permutation group. This algorithm builds on previous work using Graph Backtracking, which extends Jeffrey Leon's Partition Backtrack framework. Our methods generalise both Nauty and Steve Linton's Minimal image algorithm.

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