{"title":"置换群Sn上作为度量的突变","authors":"Kodjo Essonana Magnani","doi":"10.17654/0972555523026","DOIUrl":null,"url":null,"abstract":"Mutation of permutations corresponds to flip of triangulations. We give, in this article, an interpretation of mutation as a metric on the permutation group $S_n$. Using this metric, we characterize a class of permutations called singular permutations. We also establish a connection with Cayley graphs in the sense of its automorphism group. Received: July 17, 2023Revised: September 20, 2023Accepted: October 18, 2023","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"12 4 1","pages":"0"},"PeriodicalIF":0.2000,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"MUTATION AS METRIC ON PERMUTATION GROUP Sn\",\"authors\":\"Kodjo Essonana Magnani\",\"doi\":\"10.17654/0972555523026\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Mutation of permutations corresponds to flip of triangulations. We give, in this article, an interpretation of mutation as a metric on the permutation group $S_n$. Using this metric, we characterize a class of permutations called singular permutations. We also establish a connection with Cayley graphs in the sense of its automorphism group. Received: July 17, 2023Revised: September 20, 2023Accepted: October 18, 2023\",\"PeriodicalId\":43248,\"journal\":{\"name\":\"JP Journal of Algebra Number Theory and Applications\",\"volume\":\"12 4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2023-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JP Journal of Algebra Number Theory and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17654/0972555523026\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JP Journal of Algebra Number Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17654/0972555523026","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Mutation of permutations corresponds to flip of triangulations. We give, in this article, an interpretation of mutation as a metric on the permutation group $S_n$. Using this metric, we characterize a class of permutations called singular permutations. We also establish a connection with Cayley graphs in the sense of its automorphism group. Received: July 17, 2023Revised: September 20, 2023Accepted: October 18, 2023
期刊介绍：
The JP Journal of Algebra, Number Theory and Applications is a peer-reviewed international journal. Original research papers theoretical, computational or applied, in nature, in any branch of Algebra and Number Theory are considered by the JPANTA. Together with the core topics in these fields along with their interplay, the journal promotes contributions in Diophantine equations, Representation theory, and Cryptography. Realising the need of wide range of information for any emerging area of potential research, the journal encourages the submission of related survey articles as well.
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