A survey on symmetry group of polyhedral graphs

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

Research output: Contribution to journalArticlepeer-review

3 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 languageEnglish
Article number370
JournalSymmetry
Volume12
Issue number3
DOIs
Publication statusPublished - 1 Mar 2020

Keywords

  • Automorphism group
  • Fullerene
  • Group action
  • Polyhedral graph

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