Region crossing change on origami and link-Reference-Cited by-同舟云学术

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Region crossing change on origami and link

Published:2024-06 Issue:07 Volume:33 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Oshikiri Tokio¹^ORCID,Shimizu Ayaka²^ORCID,Tamura Junya³^ORCID

Affiliation:

1. College of Science and Engineering, Kanazawa University, Kakuma-machi, Kanazawa-shi, Ishikawa 920-1192, Japan

2. Osaka Central Advanced Mathematical Institute (OCAMI), Osaka Metropolitan University, 3-3-138, Sugimoto, Osaka 558-8585, Japan

3. Taiyo Yuden Co., LTD. Tamamura Plant, 1796-1, Kawai, Tamamura-machi, Gunma 370-1196, Japan

Abstract

Region Select is a game originally defined on a knot projection. In this paper, Region Select on an origami crease pattern is introduced and investigated. As an application, a new unlinking number associated with region crossing change is defined and discussed.

Funder

JSPS KAKENHI

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216524500196

Reference12 articles.

1. AN INTEGRAL REGION CHOICE PROBLEM ON KNOT PROJECTION

2. Unknotting Operations of Polygonal Type

3. $k$-color region select game

4. When is region crossing change an unknotting operation?

5. On region crossing change and incidence matrix

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