Axis systems of link projections-Reference-Cited by-同舟云学术

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Axis systems of link projections

Published:2017-03-31 Issue:08 Volume:26 Page:1750043
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Horiguchi Kirara¹,Shimizu Ayaka²,Watanabe Ryohei³,Yaguchi Yoshiro²

Affiliation:

1. Department of Civil Engineering, National Institute of Technology, Gunma College, 580 Toriba-cho, Maebashi-shi, Gunma, 371-8530, Japan

2. Department of Mathematics, National Institute of Technology, Gunma College, 580 Toriba-cho, Maebashi-shi, Gunma, 371-8530, Japan

3. Department of Information Science, University of Fukui, 3-9-1, Bunkyo, Fukui-shi, Fukui, 910-8507, Japan

Abstract

An axis of a link projection is a closed curve which lies symmetrically on each region of the link projection. In this paper we define axis systems of link projections and characterize axis systems of the standard projections of twist knots.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517500432

Reference6 articles.

1. Complementary Regions of Knot and Link Diagrams

2. Unknotting Operations of Polygonal Type

3. The rank of a warping matrix

4. The Warping Matrix of a Knot Diagram

5. Universal sequences of spatial graphs

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