Automorphism Groups in Polyhedral Graphs

被引：0

作者：

Ghorbani, Modjtaba ^{[1
]}

Alidehi-Ravandi, Razie ^{[1
]}

Dehmer, Matthias ^{[2
]}

机构：

[1] Shahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran, Iran

[2] AKAD Univ, Sch Engn & Technol, Heilbronner Str 86, D-70191 Stuttgart, Germany

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 09期

关键词：

symmetry; automorphism group; polyhedral graph; fullerene; PERCEPTION; SYMMETRIES;

D O I：

10.3390/sym16091157

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The study delves into the relationship between symmetry groups and automorphism groups in polyhedral graphs, emphasizing their interconnected nature and their significance in understanding the symmetries and structural properties of fullerenes. It highlights the visual importance of symmetry and its applications in architecture, as well as the mathematical structure of the automorphism group, which captures all of the symmetries of a graph. The paper also discusses the significance of groups in Abstract Algebra and their relevance to understanding the behavior of mathematical systems. Overall, the findings offer an inclusive understanding of the relationship between symmetry groups and automorphism groups, paving the way for further research in this area.

引用

页数：18

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