{"title":"第九个Dedekind数的计算","authors":"Christian Jäkel","doi":"10.1016/j.jaca.2023.100006","DOIUrl":null,"url":null,"abstract":"<div><p>We present an algorithm to compute the 9th Dedekind number: 286386577668298411128469151667598498812366. The key aspects are the use of matrix multiplication and symmetries in the free distributive lattice, that are determined with techniques from Formal Concept Analysis.</p></div>","PeriodicalId":100767,"journal":{"name":"Journal of Computational Algebra","volume":"6 ","pages":"Article 100006"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A computation of the ninth Dedekind number\",\"authors\":\"Christian Jäkel\",\"doi\":\"10.1016/j.jaca.2023.100006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We present an algorithm to compute the 9th Dedekind number: 286386577668298411128469151667598498812366. The key aspects are the use of matrix multiplication and symmetries in the free distributive lattice, that are determined with techniques from Formal Concept Analysis.</p></div>\",\"PeriodicalId\":100767,\"journal\":{\"name\":\"Journal of Computational Algebra\",\"volume\":\"6 \",\"pages\":\"Article 100006\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2772827723000037\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Algebra","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2772827723000037","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We present an algorithm to compute the 9th Dedekind number: 286386577668298411128469151667598498812366. The key aspects are the use of matrix multiplication and symmetries in the free distributive lattice, that are determined with techniques from Formal Concept Analysis.
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