$k$-颜色区域选择游戏

Pub Date : 2023-04-26 DOI:10.2969/jmsj/89408940

Ahmet BATAL, Neslihan GÜGÜMCÜ

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引用次数: 0

摘要

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。

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$k$-color region select game

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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