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

Bradley Forrest, Zachary Lague
{"title":"Nullhomotopic and Generating Knight's Tours on Non-Orientable Surfaces","authors":"Bradley Forrest, Zachary Lague","doi":"arxiv-2406.05226","DOIUrl":null,"url":null,"abstract":"We investigate closed knight's tours on M\\\"obius strip and Klein bottle chess\nboards. In particular, we characterize the board dimensions that admit tours\nthat are nullhomotopic and the board dimensions that admit tours that realize\ngenerators of the fundamental groups of each of the surfaces.","PeriodicalId":501314,"journal":{"name":"arXiv - MATH - General Topology","volume":"208 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.05226","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

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.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
非全向曲面上的空同向和生成骑士之旅
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。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Residual functions and divisorial ideals On Divisor Topology of Commutative Rings On Golomb Topology of Modules over Commutative Rings Two Selection Theorems for Extremally Disconnected Spaces Lipschitz vector spaces
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1