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Browsing Makale Koleksiyonu by Author "Altıntaş, İsmet"

Browsing Makale Koleksiyonu by Author "Altıntaş, İsmet"

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  • A generalization of the Alexander polynomial as an application of the delta derivative 
    Altıntaş, İsmet; Kemal Taskopru (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)
    In this paper, we define the delta derivative in the integer group ring and we show that the delta derivative is well defined on the free groups. We also define a polynomial invariant of oriented knot and link by carrying ...
  • An oriented state model for the Jones polynomial and its applications alternating links 
    Altıntaş, İsmet (ELSEVIER SCIENCE INC, 2007)
    In this paper, we de. ne a polynomial invariant of regular isotopy, G(L), for oriented knot and link diagrams L. From G(L) by multiplying it by a normalizing factor, we obtain an ambient isotopy invariant, N-L, for oriented ...
  • HOMFLY polynomials of torus links as generalized Fibonacci polynomials 
    Kemal Taskopru; Altıntaş, İsmet (ELECTRONIC JOURNAL OF COMBINATORICS, 2015)
    The focus of this paper is to study the HOMFLY polynomial of (2, n)-torus link as a generalized Fibonacci polynomial. For this purpose, we first introduce a form of generalized Fibonacci and Lucas polynomials and provide ...
  • Introduction to disoriented knot theory 
    Altıntaş, İsmet (DE GRUYTER POLAND SP ZOO, 2018)
    This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such ...