ENUMERATION OF SET-THEORETIC SOLUTIONS TO THE YANG-BAXTER EQUATION

被引：8

作者：

Akgun, O. ^{[1
]}

Mereb, M. ^{[2
,3
]}

Vendramin, L. ^{[2
,3
,4
]}

机构：

[1] Univ St Andrews, Sch Comp Sci, St Andrews KY16 9SX, Fife, Scotland

[2] Univ Buenos Aires, FCEN, CONICET, IMAS, Pab 1,Ciudad Univ,C1428EGA, Buenos Aires, DF, Argentina

[3] Univ Buenos Aires, FCEN, Dept Matemat, Pab 1,Ciudad Univ,C1428EGA, Buenos Aires, DF, Argentina

[4] Vrije Univ Brussel, Dept Math, Pl Laan 2, B-1050 Brussels, Belgium

来源：

MATHEMATICS OF COMPUTATION | 2022年 / 91卷 / 335期

关键词：

Yang-Baxter; biquandles; constraint programming; SKEW BRACES;

D O I：

10.1090/mcom/3696

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 321,931 involutive solutions of size nine, 4,895,272 involutive solutions of size ten and 422,449,480 non-involutive solution of size eight. Our method is then used to enumerate non-involutive biquandles.

引用

页码：1469 / 1481

页数：13

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