Geodesic
Generating Geometric Graphs Using Automorphisms
Journal of Graph Algorithms and Applications, Tome 16 (2012) no. 2, pp. 507-541.

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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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     author = {Gregory McColm},
     title = {Generating {Geometric} {Graphs} {Using} {Automorphisms}},
     journal = {Journal of Graph Algorithms and Applications},
     pages = {507--541},
     publisher = {mathdoc},
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     number = {2},
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     doi = {10.7155/jgaa.00272},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00272/}
}
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Gregory McColm. Generating Geometric Graphs Using Automorphisms. Journal of Graph Algorithms and Applications, Tome 16 (2012) no. 2, pp. 507-541. doi : 10.7155/jgaa.00272. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00272/

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