{"title":"彩虹级联和置换标记超立方体","authors":"Lon Mitchell","doi":"10.1016/j.exco.2023.100099","DOIUrl":null,"url":null,"abstract":"<div><p>We explore a new view of the Rainbow Cascades Conjecture using permutations. Infinitely many new 6-satisfactory colorings are found, and evidence is provided that suggests only finitely many 7-satisfactory colorings exist.</p></div>","PeriodicalId":100517,"journal":{"name":"Examples and Counterexamples","volume":"3 ","pages":"Article 100099"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rainbow Cascades and permutation-labeled hypercube tilings\",\"authors\":\"Lon Mitchell\",\"doi\":\"10.1016/j.exco.2023.100099\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We explore a new view of the Rainbow Cascades Conjecture using permutations. Infinitely many new 6-satisfactory colorings are found, and evidence is provided that suggests only finitely many 7-satisfactory colorings exist.</p></div>\",\"PeriodicalId\":100517,\"journal\":{\"name\":\"Examples and Counterexamples\",\"volume\":\"3 \",\"pages\":\"Article 100099\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Examples and Counterexamples\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666657X23000010\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Examples and Counterexamples","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666657X23000010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Rainbow Cascades and permutation-labeled hypercube tilings
We explore a new view of the Rainbow Cascades Conjecture using permutations. Infinitely many new 6-satisfactory colorings are found, and evidence is provided that suggests only finitely many 7-satisfactory colorings exist.
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