October, 2023 $k$-color region select game
Ahmet BATAL, Neslihan GÜGÜMCÜ
Author Affiliations +
J. Math. Soc. Japan 75(4): 1409-1429 (October, 2023). DOI: 10.2969/jmsj/89408940

Abstract

The region select game, introduced by Ayaka Shimizu, Akio Kawauchi and Kengo Kishimoto, is a game that is played on knot diagrams whose crossings are endowed with two colors. The game is based on the region crossing change moves that induce an unknotting operation on knot diagrams. We generalize the region select game to be played on a knot diagram endowed with $k$-colors at its vertices for $2 \leq k \leq \infty$.

Citation

Download Citation

Ahmet BATAL. Neslihan GÜGÜMCÜ. "$k$-color region select game." J. Math. Soc. Japan 75 (4) 1409 - 1429, October, 2023. https://doi.org/10.2969/jmsj/89408940

Information

Received: 7 May 2022; Published: October, 2023
First available in Project Euclid: 26 April 2023

Digital Object Identifier: 10.2969/jmsj/89408940

Subjects:
Primary: 05C57
Secondary: 05C50

Keywords: knot , link , region select game , unknotting

Rights: Copyright ©2023 Mathematical Society of Japan

JOURNAL ARTICLE
21 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.75 • No. 4 • October, 2023
Back to Top