STRONGLY ALMOST TRIVIAL θ-CURVES-Reference-Cited by-同舟云学术

STRONGLY ALMOST TRIVIAL θ-CURVES

Published:2002-03 Issue:02 Volume:11 Page:153-164
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HUH YOUNGSIK¹,JIN GYO TAEK²,OH SEUNGSANG³

Affiliation:

1. Multimedia Lab, SAIT, P.O. Box 111, Suwon 440-600, Korea

2. Department of Mathematics, KAIST, Taejon 305-701, Korea

3. Department of Mathematics, Chonbuk National University, Chonju 561-756, Korea

Abstract

A θ-curve is called almost trivial if it does not contain any non-trivial knot. A θ-curve is called strongly almost trivial if it has a planar projection which does not contain a projection of any non-trivial knot. In this paper, we introduce a method to present strongly almost trivial θ-curves. We also give an almost trivial θ-curve which may not be strongly almost trivial.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216502001548

Reference4 articles.

1. A Partial Order of Knots

2. A Partial Order of Links

3. An invariant of spatial graphs

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2. A graph-theoretic approach to a partial order of knots and links;Topology and its Applications;2010-04

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