• DocumentCode
    642865
  • Title

    Smoothing distances of knots

  • Author

    Zekovic, Amela ; Jablan, Slavik

  • Author_Institution
    Fac. of Math., Univ. of Belgrade, Belgrade, Serbia
  • fYear
    2013
  • fDate
    26-28 Sept. 2013
  • Firstpage
    33
  • Lastpage
    38
  • Abstract
    In the existing tables of knot smoothings knots with smoothing number 1 are computed by Abe and Kanenobu [1] for knots with at most n=9 crossings, and smoothing knot distances are computed by Kanenobu [2] for knots with at most n=7 crossings. In this work are computed some undecided knot distances 1 from these papers, and extended the computations by computing knots with smoothing number one with at most n = 11 crossings and smoothing knot distances of knots with at most n= 9 crossings. All computations are done in the program LinKnot, based on Conway notation and non-minimal representations of knots.
  • Keywords
    algebra; geometry; Conway notation; LinKnot; knots nonminimal representations; knots smoothing distances; smoothing number; DNA; Encoding; Informatics; Intelligent systems; Mirrors; Smoothing methods; Surgery;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Systems and Informatics (SISY), 2013 IEEE 11th International Symposium on
  • Conference_Location
    Subotica
  • Print_ISBN
    978-1-4799-0303-0
  • Type

    conf

  • DOI
    10.1109/SISY.2013.6662598
  • Filename
    6662598