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arXiv · 1703.00197

Minimal and Canonical Images

Christopher Jefferson·Eliza Jonauskyte·Markus Pfeiffer·Rebecca Waldecker
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Abstract

We describe a family of new algorithms for finding the canonical image of a set of points under the action of a permutation group. This family of algorithms makes use of the orbit structure of the group, and a chain of subgroups of the group, to efficiently reduce the amount of search which must be performed to find a canonical image. We present both a formal proof of correctness of our algorithms and experiments on different permutation groups, which compare our algorithms with the previous state of the art.

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Christopher Jefferson, Eliza Jonauskyte, Markus Pfeiffer, Rebecca Waldecker. 2017-03-01. Minimal and Canonical Images. https://arxiv.org/abs/1703.00197

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