A survey on symmetry group of polyhedral graphs

Modjtaba Ghorbani; Matthias Dehmer; Shaghayegh Rahmani; Mina Rajabi-Parsa

doi:10.3390/sym12030370

A survey on symmetry group of polyhedral graphs

Modjtaba Ghorbani, Matthias Dehmer, Shaghayegh Rahmani, Mina Rajabi-Parsa

Research Center Steyr

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Article number	370
Journal	Symmetry
Volume	12
Issue number	3
DOIs	https://doi.org/10.3390/sym12030370
Publication status	Published - 1 Mar 2020

Keywords

Automorphism group
Fullerene
Group action
Polyhedral graph

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10.3390/sym12030370

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abstract = "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.",

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AU - Dehmer, Matthias

AU - Rahmani, Shaghayegh

AU - Rajabi-Parsa, Mina

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AB - 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.

KW - Automorphism group

KW - Fullerene

KW - Group action

KW - Polyhedral graph

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A survey on symmetry group of polyhedral graphs

Abstract

Keywords

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