非全向曲面上的空同向和生成骑士之旅

arXiv - MATH - General Topology Pub Date : 2024-06-07 DOI:arxiv-2406.05226

Bradley Forrest, Zachary Lague

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摘要

我们研究了莫比乌斯带和克莱因瓶棋盘上的封闭马巡回。特别是，我们描述了接纳空同向巡回的棋盘维数，以及接纳实现每个曲面基本群生成器的巡回的棋盘维数。

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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Nullhomotopic and Generating Knight's Tours on Non-Orientable Surfaces

We investigate closed knight's tours on M\"obius strip and Klein bottle chess boards. In particular, we characterize the board dimensions that admit tours that are nullhomotopic and the board dimensions that admit tours that realize generators of the fundamental groups of each of the surfaces.

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arXiv - MATH - General Topology

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