{"title":"关于双桥结容错数的存在性","authors":"Usman Ali, I. F. Hussain, A. Rani","doi":"10.32350/sir.64.05","DOIUrl":null,"url":null,"abstract":"In this write-up, we explore the family of two-bridge knots for fault-tolerance. We findout fault-tolerant unknotting numbers for certain subfamilies of two-bridge knots. Besidesthis, we work out on special subfamilies C(a, a1, a2, a3, . . . ,±2,−ak,−ak−1, . . . ,−a2,−a1)and C(2n, 3) of two-bridge knots with unknotting number 1 and n respectively and found avarient of fault-tolerant unknotting number called restricetd fault-tolerant unknotting number.Lastly, this paper is concluded by explicating biological disposition of fault-tolerantunknotting number in terms of enzyme action on DNA.","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Existence of Fault-tolerant numbers of Two-Bridge Knots\",\"authors\":\"Usman Ali, I. F. Hussain, A. Rani\",\"doi\":\"10.32350/sir.64.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this write-up, we explore the family of two-bridge knots for fault-tolerance. We findout fault-tolerant unknotting numbers for certain subfamilies of two-bridge knots. Besidesthis, we work out on special subfamilies C(a, a1, a2, a3, . . . ,±2,−ak,−ak−1, . . . ,−a2,−a1)and C(2n, 3) of two-bridge knots with unknotting number 1 and n respectively and found avarient of fault-tolerant unknotting number called restricetd fault-tolerant unknotting number.Lastly, this paper is concluded by explicating biological disposition of fault-tolerantunknotting number in terms of enzyme action on DNA.\",\"PeriodicalId\":137307,\"journal\":{\"name\":\"Scientific Inquiry and Review\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scientific Inquiry and Review\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32350/sir.64.05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Inquiry and Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32350/sir.64.05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Existence of Fault-tolerant numbers of Two-Bridge Knots
In this write-up, we explore the family of two-bridge knots for fault-tolerance. We findout fault-tolerant unknotting numbers for certain subfamilies of two-bridge knots. Besidesthis, we work out on special subfamilies C(a, a1, a2, a3, . . . ,±2,−ak,−ak−1, . . . ,−a2,−a1)and C(2n, 3) of two-bridge knots with unknotting number 1 and n respectively and found avarient of fault-tolerant unknotting number called restricetd fault-tolerant unknotting number.Lastly, this paper is concluded by explicating biological disposition of fault-tolerantunknotting number in terms of enzyme action on DNA.