Jones polynomial for graphs of twist knots

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dc.contributor.authorŞahin, Abdulgani.
dc.contributor.authorŞahin, Bünyamin.
dc.date.accessioned2020-03-26T20:15:01Z
dc.date.available2020-03-26T20:15:01Z
dc.date.issued2019
dc.departmentSelçuk Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe frequently encounter knots in the flow of our daily life. Either we knot a tie or we tie a knot on our shoes. We can even see a fisherman knotting the rope of his boat. Of course, the knot as a mathematical model is not that simple. These are the reflections of knots embedded in three-dimensional space in our daily lives. In fact, the studies on knots are meant to create a complete classification of them. This has been achieved for a large number of knots today. But we cannot say that it has been terminated yet. There are various effective instruments while carrying out all these studies. One of these effective tools is graphs. Graphs are have made a great contribution to the development of algebraic topology. Along with this support, knot theory has taken an important place in low dimensional manifold topology. In 1984, Jones introduced a new polynomial for knots. The discovery of that polynomial opened a new era in knot theory. In a short time, this polynomial was defined by algebraic arguments and its combinatorial definition was made. The Jones polynomials of knot graphs and their applications were introduced by Murasugi. T. Ugur and A. Kopuzlu found an algorithm for the Jones polynomials of torus knots K(2, q) in 2006. In this paper, first of all, it has been obtained signed graphs of the twist knots which are a special family of knots. We subsequently compute the Jones polynomials for graphs of twist knots. We will consider signed graphs associated with each twist knot diagrams.en_US
dc.identifier.citationŞahin, A., Şahin, B. (2019). Jones Polynomial for Graphs of Twist Knots. Applications and Applied Mathematics-An International Journal (AAM), 14(2), 1269-1278.
dc.identifier.endpage1278en_US
dc.identifier.issn1932-9466en_US
dc.identifier.issue2en_US
dc.identifier.pmid#YOKen_US
dc.identifier.startpage1269en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12395/37971
dc.identifier.volume14en_US
dc.identifier.wosWOS:000502819600042en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.institutionauthorŞahin, Bünyamin.
dc.language.isoenen_US
dc.publisherPRAIRIE VIEW A & M UNIV, DEPT MATHEMATICSen_US
dc.relation.ispartofAPPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNALen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectKnoten_US
dc.subjectTwist knotsen_US
dc.subjectGraphen_US
dc.subjectKnot graphen_US
dc.subjectSigned graphen_US
dc.subjectSpannig subgraphen_US
dc.subjectJones polynomialen_US
dc.titleJones polynomial for graphs of twist knotsen_US
dc.typeArticleen_US

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