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arXiv · 2008.04483

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

Ö. Akgün·M. Mereb·L. Vendramin
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Abstract

We 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.

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Ö. Akgün, M. Mereb, L. Vendramin. 2020-08-11. Enumeration of set-theoretic solutions to the Yang-Baxter equation. https://doi.org/10.1090/mcom/3696

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