$k$-color region select game

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2023-04-26 DOI:10.2969/jmsj/89408940

Ahmet BATAL, Neslihan GÜGÜMCÜ

引用次数: 0

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 $2 \leq k \leq \infty$.

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$k$-颜色区域选择游戏

清水绫香、川内昭夫和岸本健吾推出的区域选择游戏，是一种以结图为基础的游戏，结图的交叉点被赋予了两种颜色。该游戏是基于区域交叉变化的移动，诱导结图上的解结操作。我们将区域选择游戏推广到一个结点图上，在$2 \leq k \leq \infty$的顶点上赋予$k$ -颜色。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).