On the calculation of the Kauffman bracket polynomial

Itik M., Banks S. P.

APPLIED MATHEMATICS AND COMPUTATION, cilt.216, sa.2, ss.655-661, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 216 Sayı: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.amc.2010.01.102
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.655-661
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, we present a new algorithm to evaluate the Kauffman bracket polynomial. The algorithm uses cyclic permutations to count the number of states obtained by the application of 'A' and 'B' type smoothings to the each crossing of the knot. We show that our algorithm can be implemented easily by computer programming. (C) 2010 Elsevier Inc. All rights reserved.