Next Article in Journal / Special Issue
Metalloporphyrin Symmetry in Chiral Recognition and Enantioselective Catalysis
Previous Article in Journal
Development of Symmetry Concepts for Aperiodic Crystals
Article Menu

Export Article

Open AccessArticle
Symmetry 2014, 6(2), 189-209; doi:10.3390/sym6020189

Topological Symmetry Groups of Small Complete Graphs

Department of Mathematics, Pomona College, Claremont, CA 91711, USA
*
Author to whom correspondence should be addressed.
Received: 12 February 2014 / Revised: 2 April 2014 / Accepted: 2 April 2014 / Published: 8 April 2014
(This article belongs to the Special Issue Supramolecular Chirality)

Abstract

Topological symmetry groups were originally introduced to study the symmetries of non-rigid molecules, but have since been used to study the symmetries of any graph embedded in R3. In this paper, we determine for each complete graph Kn with n ≤ 6, what groups can occur as topological symmetry groups or orientation preserving topological symmetry groups of some embedding of the graph in R3. View Full-Text
Keywords: topological symmetry groups; molecular symmetries; complete graphs; spatial graphs topological symmetry groups; molecular symmetries; complete graphs; spatial graphs
Figures

This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Chambers, D.; Flapan, E. Topological Symmetry Groups of Small Complete Graphs. Symmetry 2014, 6, 189-209.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top