Generating Geometric Graphs Using Automorphisms

Authors

  • Gregory McColm

DOI:

https://doi.org/10.7155/jgaa.00272

Abstract

We outline an algorithm for generating nets, a "net" being a geometric graph embedded in a space on which some group acts transitively. We prove that any connected net in such a space can be generated by this process, which can also be regarded as a covering of the net by copies of a connected "transversal" subnet. This paper outlines some of the underlying theory supporting a crystal prediction and design program currently under development. The paper begins with some background in geometric group theory.

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Published

2012-01-01

How to Cite

McColm, G. (2012). Generating Geometric Graphs Using Automorphisms. Journal of Graph Algorithms and Applications, 16(2), 507–541. https://doi.org/10.7155/jgaa.00272

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