单顶点带状图环面嵌入的判定准则
组合数学
2025-07-03 v5 数据结构与算法
几何拓扑
摘要
本工作简要直观地概述了曲面上的图论。我们考虑具有附加结构的图，我们称之为带盘图，亦称单顶点带状图。并解决了关于单顶点带状图环面嵌入判定准则的问题（Skopenkov问题）。
引用
@article{arxiv.2208.08692,
title = {Criteria for toroidal embedding of one-vertex ribbon graphs},
author = {Tim Berezin},
journal= {arXiv preprint arXiv:2208.08692},
year = {2025}
}
备注
This work is the text of a master's thesis, in Russian language. It was written in 2018. Later it became the basis for the article "Embedding hieroglyphs in the torus" [arXiv:2208.08692v4]