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On the Minimal Crossing Number and the Braid Index of Links

Published online by Cambridge University Press:  20 November 2018

Yoshiyuki Ohyama
Yoshiyuki Ohyama*
Affiliation:
Department of Mathematics, School of Science and Engineering, Waseda University, Ohkubo, Shinjuku, Tokyo 169, Japan
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Abstract

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In this paper we prove an inequality that involves the minimal crossing number and the braid index of links by estimating Murasugi and Przytycki’s index for a planar bipartite graph.

Keywords

57M25index of a graphknotlinkthe braid indexthe minimal crossing number
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 1 , 01 February 1993 , pp. 117 - 131
Copyright
Copyright © Canadian Mathematical Society 1993

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