Oriented 2-cell embeddings of a graph and their symmetry classification: Generating algorithms and case study of the Mobius-Kantor graph graph

被引：11

作者：

Lijnen, E ^{[1
]}

Ceulemans, A ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Chem, B-3001 Heverlee, Belgium

来源：

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES | 2004年 / 44卷 / 05期

关键词：

D O I：

10.1021/ci049865c

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

We discuss a method to derive all symmetry-distinct oriented 2-cell embeddings of a given graph and classify them based on their symmetry. As an example, we apply the algorithm to the highly symmetrical trivalent Mobius-Kantor graph. Considering the derived 2-cell embeddings as carbon networks leads to some interesting negative curvature carbon allotropes.

引用

页码：1552 / 1564

页数：13

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