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

^*Korrespondierende/r Autor/-in für diese Arbeit

Research Center Steyr

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

6 Zitate (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.

Originalsprache	Englisch
Aufsatznummer	370
Fachzeitschrift	Symmetry
Jahrgang	12
Ausgabenummer	3
DOIs	https://doi.org/10.3390/sym12030370
Publikationsstatus	Veröffentlicht - 1 März 2020

Zugriff auf Dokument

10.3390/sym12030370

Andere Dateien und Links

Link to publication in Scopus

Zitieren

@article{8a95af948cf44c1b8652e5e5941ec98b,

title = "A survey on symmetry group of polyhedral graphs",

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.",

keywords = "Automorphism group, Fullerene, Group action, Polyhedral graph",

author = "Modjtaba Ghorbani and Matthias Dehmer and Shaghayegh Rahmani and Mina Rajabi-Parsa",

year = "2020",

month = mar,

day = "1",

doi = "10.3390/sym12030370",

language = "English",

volume = "12",

journal = "Symmetry",

issn = "2073-8994",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "3",

}

TY - JOUR

T1 - A survey on symmetry group of polyhedral graphs

AU - Ghorbani, Modjtaba

AU - Dehmer, Matthias

AU - Rahmani, Shaghayegh

AU - Rajabi-Parsa, Mina

PY - 2020/3/1

Y1 - 2020/3/1

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85082047227

U2 - 10.3390/sym12030370

DO - 10.3390/sym12030370

M3 - Article

AN - SCOPUS:85082047227

SN - 2073-8994

VL - 12

JO - Symmetry

JF - Symmetry

IS - 3

M1 - 370

ER -

A survey on symmetry group of polyhedral graphs

Abstract

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Zitieren