C. Adams, Nikhil Agarwal, R. Allen, Tirasan Khandhawit, Alex Simons, Rebecca R. Winarski, Mary Wootters
{"title":"Superbridge and bridge indices for knots","authors":"C. Adams, Nikhil Agarwal, R. Allen, Tirasan Khandhawit, Alex Simons, Rebecca R. Winarski, Mary Wootters","doi":"10.1142/S0218216521500097","DOIUrl":null,"url":null,"abstract":"We improve the upper bound on the superbridge index $sb[K]$ of a knot type $[K]$ in terms of the bridge index $b[K]$ from $sb[K] \\leq 5b -3$ to $sb[K]\\leq 3b[k] - 1$.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S0218216521500097","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We improve the upper bound on the superbridge index $sb[K]$ of a knot type $[K]$ in terms of the bridge index $b[K]$ from $sb[K] \leq 5b -3$ to $sb[K]\leq 3b[k] - 1$.
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