{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T14:29:06Z","timestamp":1776868146458,"version":"3.51.2"},"reference-count":41,"publisher":"American Mathematical Society (AMS)","issue":"335","license":[{"start":{"date-parts":[[2023,1,14]],"date-time":"2023-01-14T00:00:00Z","timestamp":1673654400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/501100002923","name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","doi-asserted-by":"publisher","award":["PICT 2018-3511"],"award-info":[{"award-number":["PICT 2018-3511"]}],"id":[{"id":"10.13039\/501100002923","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003074","name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","doi-asserted-by":"publisher","award":["PICT 2018-3511"],"award-info":[{"award-number":["PICT 2018-3511"]}],"id":[{"id":"10.13039\/501100003074","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions to the Yang\u2013Baxter 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.<\/p>","DOI":"10.1090\/mcom\/3696","type":"journal-article","created":{"date-parts":[[2021,9,15]],"date-time":"2021-09-15T09:57:23Z","timestamp":1631699843000},"page":"1469-1481","source":"Crossref","is-referenced-by-count":7,"title":["Enumeration of set-theoretic solutions to the Yang\u2013Baxter equation"],"prefix":"10.1090","volume":"91","author":[{"given":"\u00d6.","family":"Akg\u00fcn","sequence":"first","affiliation":[]},{"given":"M.","family":"Mereb","sequence":"additional","affiliation":[]},{"given":"L.","family":"Vendramin","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2022,1,14]]},"reference":[{"issue":"1","key":"1","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1142\/S0218196719500656","article-title":"Retractability of solutions to the Yang-Baxter equation and \ud835\udc5d-nilpotency of skew braces","volume":"30","author":"Acri, E.","year":"2020","journal-title":"Internat. 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