논문KCI 등재
Twisting Some Classes of Links
경북대학교 자연과학대학 수학과|2024.12|Kyungpook Mathematical Journal|제64권 제4호|pp. 519-530|DOI 10.5666/KMJ.2024.64.4.519
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We apply the twisting technique that was first introduced in [1] and later generalized in [8] to obtain an infinite family of adequate, homogeneous or alternative links from a given adequate, homogeneous or alternative link, respectively. Thus we conclude that these three classes of links are infinite
Abstract
We apply the twisting technique that was first introduced in [1] and later generalized in [8] to obtain an infinite family of adequate, homogeneous or alternative links from a given adequate, homogeneous or alternative link, respectively. Thus we conclude that these three classes of links are infinite
참고문헌 (11)
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- P. Cromwell, "Homogeneous links", J. London Math. Soc., 39, pp.535~552 (1989)
- L. Kauffman, "Formal Knot Theory" (2006), Dover Publications
- L. Kauffman, "Unknots and Molecular Biology", Milan. J. math., 74, pp.227~263 (2006)
- L. Kauffman, "Determinants of rational knots", Discrete Math. Theoret Comput. Sci., 11(2), pp.111~122 (2009)
- W. Lickorish, "Some links with non-trivial polynomials and their crossing-numbers", Comment. Math. Helv., 63(4), pp.527~539 (1988)
- K. Qazaqzeh, "Characterization of quasi-alternating Montesinos links", J. Knot Theory Ramif., 24(1), pp.155000~ (2015)
- H. Seifert, "Uber das Geschlecht von Knoten", Math. Ann., 110, pp.571~592 (1935)
- M. Thistlewaite, "On the Kauffman polynomial of an adequate link", Invent. Math., 93, pp.285~296 (1988)
관련 논문AI추천
On certain classes of links and $3$-manifolds김수환, 김양곡대한수학회 · 대한수학회논문집2005 · 제20권 제4호On infinite classes of genus two 1-bridge knots김수환, Yangkok Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Knots with a Trivial Coefficient PolynomialYasuyuki Miyazawa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호Crosscap Numbers of Two -component LinksGengyu Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호DEALTERNATING NUMBERS AND CLASSICAL LINK INVARIANTS김동석, 김명재, 이동희영남수학회 · East Asian Mathematical Journal2012 · 제28권 제1호Virtual links with normal diagrams임영호영남수학회 · East Asian Mathematical Journal2009 · 제25권 제4호
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