REGULAR PROJECTIONS OF KNOTTED DOUBLE-HANDCUFF GRAPHS

Author:

HANAKI RYO1

Affiliation:

1. Graduate School of Education, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku, Tokyo, 169-8050, Japan

Abstract

A finite set of specific knotted double-handcuff graphs is shown to be minimal among those which produce all projections of knotted double-handcuff graphs. In addition, we show that a double-handcuff graph has no strongly almost trivial spatial embeddings.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Reference7 articles.

1. AN ELEMENTARY SET FOR θn-CURVE PROJECTIONS

2. Planar graphs producing no strongly almost trivial embedding

3. R. Nikkuni, Knot Theory for Scientific Objects, Osaka City University Advanced Mathematical Institute Studies 1 (Osaka Municipal Universities Press, 2007) pp. 111–128.

4. A Partial Order of Knots

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1. Regular projections of the link L6n1;Journal of Knot Theory and Its Ramifications;2023-01

2. On strongly almost trivial embeddings of graphs;Journal of Graph Theory;2011-03-15

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