发表机构
University of Warwick(华威大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文提出连通性、哈密顿性、韧性和生成树的粗变体概念,这些概念在拟等距下不变,并保持经典关系,同时提出若干粗版本的开放问题。
AI 中文摘要
我们定义了连通性、哈密顿性、韧性和生成树的粗变体概念。这些概念在拟等距下保持不变,并且它们之间满足与经典对应概念相同的关系。我们提出了若干开放问题,这些问题是对经典哈密顿性结果和猜想的粗版本。
英文摘要
We define coarse variants of the notions of connectivity, hamiltonicity, toughness, and spanning trees. Our notions are invariant under quasi-isometries, and they obey the same relationships between them as their classical analogs. We pose several open problems that are coarse versions of classical results and conjectures about hamiltonicity.