On the calculation of the Kauffman bracket polynomial


Itik M. , Banks S. P.

APPLIED MATHEMATICS AND COMPUTATION, cilt.216, ss.655-661, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 216 Konu: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.amc.2010.01.102
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.655-661

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.