Automatic calculation of minimum crossing numbers of 3-braids


Simsek H., Bayram M. , Can I.

APPLIED MATHEMATICS AND COMPUTATION, vol.144, pp.507-516, 2003 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 144
  • Publication Date: 2003
  • Doi Number: 10.1016/s0096-3003(02)00425-3
  • Title of Journal : APPLIED MATHEMATICS AND COMPUTATION
  • Page Numbers: pp.507-516

Abstract

In this paper, we have given a computer program to calculate minimum crossing number provide a measure of complexity for braids. The computer program uses Berger algorithm which uses Artin braid word B of minimal length. Given a braid on N strings, the program generates an Artin braid word to minimal length. The length of an Artin word equals the number of crossing seen in a braid diagram. In this paper we have applied the program for 3-braids and given an example. (C) 2002 Elsevier Inc. All rights reserved.