Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 13
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Jin, Xian’an and Cheng, Xiao-Sheng 2015. Topological chirality of a type of DNA and protein polyhedral links. Journal of Mathematical Chemistry, Vol. 53, Issue. 8, p. 1791.

    Vukovic, Ognjen 2015. Predicting Financial Contagion and Crisis by Using Jones, Alexander Polynomial and Knot Theory. Journal of Applied Mathematics and Physics, Vol. 03, Issue. 09, p. 1073.

    HARA, MASAO and YAMAMOTO, MAKOTO 2012. ON JONES POLYNOMIALS OF ALTERNATING PRETZEL KNOTS. Journal of Knot Theory and Its Ramifications, Vol. 21, Issue. 14, p. 1250127.

    JABLAN, SLAVIK and SAZDANOVIĆ, RADMILA 2007. UNLINKING NUMBER AND UNLINKING GAP. Journal of Knot Theory and Its Ramifications, Vol. 16, Issue. 10, p. 1331.

    Kauffman, Louis H. 2003. Encyclopedia of Physical Science and Technology.

    STOIMENOW, ALEXANDER 2002. SOME INEQUALITIES BETWEEN KNOT INVARIANTS. International Journal of Mathematics, Vol. 13, Issue. 04, p. 373.

    HONGLER, CAM VAN QUACH 2001. ON THE NULLIFICATION WRITHE, THE SIGNATURE AND THE CHIRALITY OF ALTERNATING LINKS. Journal of Knot Theory and Its Ramifications, Vol. 10, Issue. 04, p. 537.

    Lee, Sang Youl Park, Chan-Young and Seo, Myoungsoo 2001. On adequate links and homogeneous links. Bulletin of the Australian Mathematical Society, Vol. 64, Issue. 03, p. 395.

    Greene, Michael T and Wiest, Bert 1998. A natural framing of knots. Geometry & Topology, Vol. 2, Issue. 1, p. 31.

    Hoste, Jim Thistlethwaite, Morwen and Weeks, Jeff 1998. The first 1,701,936 knots. The Mathematical Intelligencer, Vol. 20, Issue. 4, p. 33.

    Jaeger, François 1993. Plane graphs and link invariants. Discrete Mathematics, Vol. 114, Issue. 1-3, p. 253.

    Hara, Masao and Yamamoto, Makoto 1992. Some links with non-adequate minimal-crossing diagrams. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 111, Issue. 02, p. 283.

    Murasugi, Kunio 1991. Algebraic Topology Poznań 1989.

  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 102, Issue 2
  • September 1987, pp. 317-318

Jones polynomials and classical conjectures in knot theory. II

  • Kunio Murasugi (a1)
  • DOI:
  • Published online: 24 October 2008

Let L be an alternating link and be its reduced (or proper) alternating diagram. Let w() denote the writhe of [3], i.e. the number of positive crossings minus the number of negative crossings. Let VL(t) be the Jones polynomial of L [2]. Let dmaxVL(t) and dminVL(t) denote the maximal and minimal degrees of VL(t), respectively. Furthermore, let σ(L) be the signature of L [5].

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[1]C. McA. Gordon and R. A. Litherland . On the signature of a link. Invent. Math. 47 (1978), 5369.

[5]K. Murasugi . On a certain numerical invariant of link types. Trans. Amer. Math. Soc. 117 (1965), 387422.

[6]K. Murasugi . Jones polynomials of alternating links. Trans. Amer. Math. Soc. 295 (1986), 147174.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *