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Enumeration of set-theoretic solutions to the Yang-Baxter equation

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dc.contributor.authorAkgün, Ö.
dc.contributor.authorMereb, M.
dc.contributor.authorVendramin, L.
dc.date.accessioned2022-02-10T17:30:07Z
dc.date.available2022-02-10T17:30:07Z
dc.date.issued2022-01-14
dc.identifier277807352
dc.identifier10da0af0-44e1-4563-83ca-5e04ab7d7cb3
dc.identifier85129611651
dc.identifier000809415300015
dc.identifier.citationAkgün , Ö , Mereb , M & Vendramin , L 2022 , ' Enumeration of set-theoretic solutions to the Yang-Baxter equation ' , Mathematics of Computation , vol. Early View . https://doi.org/10.1090/mcom/3696en
dc.identifier.issn0025-5718
dc.identifier.otherArXiv: http://arxiv.org/abs/2008.04483v2
dc.identifier.otherORCID: /0000-0001-9519-938X/work/108118736
dc.identifier.urihttps://hdl.handle.net/10023/24851
dc.descriptionFunding: The second author is partially supported by PICT 2018-3511 and is also a Junior Associate of the ICTP. The third author acknowledges support of NYU-ECNU Institute of Mathematical Sciences at NYU–Shanghai and he is supported in part by PICT 2016-2481 and UBACyT 20020170100256BA.en
dc.description.abstractWe use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions to the Yang-Baxter equation of small size. We show that there are 321931 involutive solutions of size nine, 4895272 involutive solutions of size ten and 422449480 non-involutive solution of size eight. Our method is then used to enumerate non-involutive biquandles.
dc.format.extent377684
dc.language.isoeng
dc.relation.ispartofMathematics of Computationen
dc.subjectQA Mathematicsen
dc.subjectQA75 Electronic computers. Computer scienceen
dc.subjectT-NDASen
dc.subjectNCADen
dc.subject.lccQAen
dc.subject.lccQA75en
dc.titleEnumeration of set-theoretic solutions to the Yang-Baxter equationen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. School of Computer Scienceen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doi10.1090/mcom/3696
dc.description.statusPeer revieweden
dc.identifier.urlhttps://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2022-03696-6/en
dc.identifier.urlhttps://arxiv.org/abs/2008.04483en


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