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Journal of Knot Theory and Its Ramifications最新文献

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Vaughan Jones, student in Geneva 沃恩·琼斯，日内瓦的学生
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-10-13 DOI: 10.1142/s0218216523400291
Claude Weber
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引用次数: 0
The Computational Complexity of Classical Knot Recognition 经典结识别的计算复杂度
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-10-10 DOI: 10.1142/s0218216523500694
Kazuhiro Ichihara, Yuya Nishimura, Seiichi Tani
{"title":"The Computational Complexity of Classical Knot Recognition","authors":"Kazuhiro Ichihara, Yuya Nishimura, Seiichi Tani","doi":"10.1142/s0218216523500694","DOIUrl":"https://doi.org/10.1142/s0218216523500694","url":null,"abstract":"The classical knot recognition problem is the problem of determining whether the virtual knot represented by a given diagram is classical. We prove that this problem is in NP, and we give an exponential time algorithm for the problem.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136254745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Milnor's Triple Linking Number and Gauss Diagram Formulas of 3-Bouquet Graphs Milnor的三重连接数和3束图的高斯图公式
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-09-08 DOI: 10.1142/s0218216523500645
Noboru Ito, Natsumi Oyamaguchi
{"title":"Milnor's Triple Linking Number and Gauss Diagram Formulas of 3-Bouquet Graphs","authors":"Noboru Ito, Natsumi Oyamaguchi","doi":"10.1142/s0218216523500645","DOIUrl":"https://doi.org/10.1142/s0218216523500645","url":null,"abstract":"In this paper, we introduce two functions such that the subtraction corresponds to the Milnor's triple linking number; the addition obtains a new integer-valued link homotopy invariant of $3$-component links. We also have found a series of integer-valued invariants derived from four terms whose sum equals the Milnor's triple linking number. We apply this structure to give invariants of $3$-bouquet graphs.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136362996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Intersection Polynomials of a Virtual Knot II: Connected Sums 虚拟结的交多项式Ⅱ：连通和
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-08-30 DOI: 10.1142/s0218216523500670
Ryuji Higa, Takuji Nakamura, Yasutaka Nakanishi, S. Satoh
{"title":"The Intersection Polynomials of a Virtual Knot II: Connected Sums","authors":"Ryuji Higa, Takuji Nakamura, Yasutaka Nakanishi, S. Satoh","doi":"10.1142/s0218216523500670","DOIUrl":"https://doi.org/10.1142/s0218216523500670","url":null,"abstract":"We introduce three kinds of invariants of a virtual knot called the first, second, and third intersection polynomials. The definition is based on the intersection number of a pair of curves on a closed surface. We study properties of the intersection polynomials and their applications concerning the behavior on symmetry, the crossing number and the virtual crossing number, a connected sum of virtual knots, characterizations of intersection polynomials, finite type invariants of order two, and a flat virtual knot.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48541787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Preface for Special Issue for Vaughan Jones 《沃恩·琼斯特刊》序言
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-08-29 DOI: 10.1142/s0218216523030013
{"title":"Preface for Special Issue for Vaughan Jones","authors":"","doi":"10.1142/s0218216523030013","DOIUrl":"https://doi.org/10.1142/s0218216523030013","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43024559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Invariants of spatial graphs coming from maximal trees 来自极大树的空间图的不变量
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-08-04 DOI: 10.1142/s0218216523500608
Xing Chen, Luo-fei Liu
{"title":"Invariants of spatial graphs coming from maximal trees","authors":"Xing Chen, Luo-fei Liu","doi":"10.1142/s0218216523500608","DOIUrl":"https://doi.org/10.1142/s0218216523500608","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" 7","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41253352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Left orderability and cyclic branched coverings of rational knots C(2p, 2m, 2n + 1) 有理结C（2p，2m，2n+1）的左可序性和环分支覆盖
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-08-04 DOI: 10.1142/s0218216523500621
Bradley Meyer, Anh T. Tran
{"title":"Left orderability and cyclic branched coverings of rational knots C(2p, 2m, 2n + 1)","authors":"Bradley Meyer, Anh T. Tran","doi":"10.1142/s0218216523500621","DOIUrl":"https://doi.org/10.1142/s0218216523500621","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43506316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The coefficients of the Jones polynomial 琼斯多项式的系数
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-08-01 DOI: 10.1142/s0218216523500530
V. Manathunga
{"title":"The coefficients of the Jones polynomial","authors":"V. Manathunga","doi":"10.1142/s0218216523500530","DOIUrl":"https://doi.org/10.1142/s0218216523500530","url":null,"abstract":"It has been known that the coefficients of the series expansion of the Jones polynomial evaluated at [Formula: see text] are rational-valued Vassiliev invariants. In this paper, we calculate minimal multiplying factor, [Formula: see text], needed for these rational-valued invariants to become integer-valued Vassiliev invariants. By doing that, we obtain a set of integer-valued Vassiliev invariants.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46378308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A polynomial invariant of Kauffman type for knotoids II 一类类结的Kauffman型多项式不变量
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-08-01 DOI: 10.1142/s0218216523500517
Yasuyuki Miyazawa
{"title":"A polynomial invariant of Kauffman type for knotoids II","authors":"Yasuyuki Miyazawa","doi":"10.1142/s0218216523500517","DOIUrl":"https://doi.org/10.1142/s0218216523500517","url":null,"abstract":"In this paper, we construct a polynomial invariant of Kauffman type for kd([Formula: see text])-linkoids and compute the polynomials for knotoids with up to three crossings. As a consequence, it is shown that the polynomial is different from the previous one in [Y. Miyazawa, A polynomial invariant of Kauffman type for knotoids, preprint].","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135717468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the swap move of letters in words and the forbidden moves in virtual diagrams 在交换移动的字母在单词和禁止移动的虚拟图
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-07-27 DOI: 10.1142/s021821652350058x
Tomonori Fukunaga
{"title":"On the swap move of letters in words and the forbidden moves in virtual diagrams","authors":"Tomonori Fukunaga","doi":"10.1142/s021821652350058x","DOIUrl":"https://doi.org/10.1142/s021821652350058x","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44335056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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