Automatic calculation of minimum crossing numbers of 3-braids

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Simsek H., Bayram M., Can I.

APPLIED MATHEMATICS AND COMPUTATION, vol.144, pp.507-516, 2003 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 144
• Publication Date: 2003
• Doi Number: 10.1016/s0096-3003(02)00425-3
• Journal Name: APPLIED MATHEMATICS AND COMPUTATION
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.507-516
• Yıldız Technical University Affiliated: No

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.