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New refiners for permutation group search

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Jefferson_2018_JSC_newrefiners_CC.pdf (527.0Kb)
Date
05/2019
Author
Jefferson, Christopher
Pfeiffer, Markus
Waldecker, Rebecca
Keywords
Backtrack search
Refiners
Permutation groups
Algorithmic group theory
Computational algebra
Partition backtrack
QA75 Electronic computers. Computer science
QA Mathematics
NDAS
Metadata
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Abstract
Partition backtrack is the current generic state of the art algorithm to search for subgroups of a given permutation group. We describe an improvement of partition backtrack for set stabilizers and intersections of subgroups by using orbital graphs. With extensive experiments we demonstrate that our methods improve performance of partition backtrack – in some cases by several orders of magnitude.
Citation
Jefferson , C , Pfeiffer , M & Waldecker , R 2019 , ' New refiners for permutation group search ' , Journal of Symbolic Computation , vol. 92 , pp. 70-92 . https://doi.org/10.1016/j.jsc.2017.12.003
Publication
Journal of Symbolic Computation
Status
Peer reviewed
DOI
https://doi.org/10.1016/j.jsc.2017.12.003
ISSN
0747-7171
Type
Journal article
Rights
Copyright © 2018 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/16254

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

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