GRAPHS WITH A KNOT OR 3-COMPONENT LINK IN EVERY SPATIAL EMBEDDING

Author:

FOISY JOEL1

Affiliation:

1. Department of Mathematics, SUNY Potsdam, Potsdam, NY 13676, USA

Abstract

We describe a family of graphs that contain a knot or a non-split 3-component link in every spatial embedding. We exhibit a graph in this family that has a knotless embedding, and a 3-component linkless embedding.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Intrinsically knotted and 4-linked directed graphs;Journal of Knot Theory and Its Ramifications;2018-05

2. On intrinsically knotted or completely 3-linked graphs;Pacific Journal of Mathematics;2011-10-29

3. An intrinsic nontriviality of graphs;Algebraic & Geometric Topology;2009-02-23

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