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http://dx.doi.org/10.4134/BKMS.b160784

LOWER BOUNDS FOR THE NUMBER OF POSITIVE AND NEGATIVE CROSSINGS IN ORIENTED LINK DIAGRAMS  

Lei, Fengchun (School of Mathematical Sciences Dalian University of Technology)
Zhang, Kai (School of Mathematical Sciences Dalian University of Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.6, 2017 , pp. 2149-2154 More about this Journal
Abstract
In this paper, we obtain a simple lower bound for the number of positive (resp. negative) crossings in oriented link diagrams in terms of the maximal (resp. minimal) degree of the Jones polynomial.
Keywords
Jones polynomial; positive crossings; negative crossings;
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1 J. C. Cha and C. Livingston, KnotInfo: Table of Knot Invariants, http://www.indiana.edu/knotinfo.
2 V. F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. 12 (1985), no. 1, 103-111.   DOI
3 L. H. Kauffman, State models and the Jones polynomial, Topology 26 (1987), no. 3, 395-407.   DOI
4 K. Murasugi, On invariants of graphs with applications to knot theory, Trans. Amer. Math. Soc. 314 (1989), no. 1, 1-49.   DOI
5 A. Stoimenow, On some restrictions to the values of the Jones polynomial, Indiana Univ. Math. J. 54 (2005), no. 2, 557-574.   DOI