中文

关于一类环面图的枚举

组合数学 2017-05-05 v2 几何拓扑

摘要

我们展示了一类产生半等角映射 (semi-equivelar maps) 的环面图的枚举。环面上有十一种不同类型的半等角映射。这些类型分别为 {36}\{3^{6}\}{44}\{4^{4}\}{63}\{6^{3}\}{33,42}\{3^{3}, 4^{2}\}{32,4,3,4}\{3^{2}, 4, 3, 4\}{3,6,3,6}\{3, 6, 3, 6\}{34,6}\{3^{4}, 6\}{4,82}\{4, 8^{2}\}{3,122}\{3, 12^{2}\}{4,6,12}\{4, 6, 12\}{3,4,6,4}\{3, 4, 6, 4\}。我们知道环面上 {36}\{3^{6}\}{44}\{4^{4}\}{63}\{6^{3}\} 类型映射的分类。在本文中,我们尝试对环面上 {33,42}\{3^{3}, 4^{2}\}{32,4,3,4}\{3^{2}, 4, 3, 4\}{3,6,3,6}\{3, 6, 3, 6\}{34,6}\{3^{4}, 6\}{4,82}\{4, 8^{2}\}{3,122}\{3, 12^{2}\}{4,6,12}\{4, 6, 12\}{3,4,6,4}\{3, 4, 6, 4\} 类型的映射进行分类。

关键词

引用

@article{arxiv.1311.0105,
  title  = {On enumeration of a class of toroidal graphs},
  author = {Dipendu Maity and Ashish Kumar Upadhyay},
  journal= {arXiv preprint arXiv:1311.0105},
  year   = {2017}
}