A Survey on Symmetry Group of Polyhedral Graphs

Every three-connected simple planar graph is a polyhedral graph and a cubic polyhedral graph with pentagonal and hexagonal faces is called as a classical fullerene. The aim of this paper is to survey some results about the symmetry group of cubic polyhedral graphs. We show that the order of symmetry...

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Bibliographic Details
Published in:Symmetry (Basel) 2020-03, Vol.12 (3), p.370
Main Authors: Ghorbani, Modjtaba, Dehmer, Matthias, Rahmani, Shaghayegh, Rajabi-Parsa, Mina
Format: Article
Language:English
Subjects:
automorphism group
fullerene
group action
polyhedral graph
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Summary:Every three-connected simple planar graph is a polyhedral graph and a cubic polyhedral graph with pentagonal and hexagonal faces is called as a classical fullerene. The aim of this paper is to survey some results about the symmetry group of cubic polyhedral graphs. We show that the order of symmetry group of such graphs divides 240.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12030370