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arXiv · 2209.02534

Computing canonical images in permutation groups with Graph Backtracking

Christopher Jefferson·Rebecca Waldecker·Wilf A. Wilson
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Abstract

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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Christopher Jefferson, Rebecca Waldecker, Wilf A. Wilson. 2022-09-06. Computing canonical images in permutation groups with Graph Backtracking. https://arxiv.org/abs/2209.02534

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