Papers › Computing canonical images in permutation groups with Graph Backtracking

Computing canonical images in permutation groups with Graph Backtracking

6 Sep 2022arXiv:2209.02534links table onlyarchive 2025-07-28

Christopher Jefferson, Rebecca Waldecker, Wilf A. Wilson

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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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