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A census of edge-transitive planar tilings
Tomaž Pisanski and Karin Cvetko-Vah
In: Algebraic Graph Theory 2009, 1-7 Jun 2009, Dubrovnik, Croatia.
AbstractRecently Graves, Pisanski andWatkins have determined the growth
rates of Bilinski diagrams of one-ended, 3-connected, edge-transitive
planar maps. The computation depends solely on the edge-symbol
hp; q; k; li that was introduced by B. Grunbaum and G. C. Shephard
in their classication of such planar tessellations. We present a census
of such tessellations in which we describe some of their properties,
such as whether the edge-transitive planar tessellation is vertex- or
face-transitive, self-dual, bipartite or Eulerian. In particular, we order
such tessellations according to the growth rate and count the number
of tessellations in each subclass. | EPrint Type: | Conference or Workshop Item (Talk) |
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| Project Keyword: | Project Keyword UNSPECIFIED |
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| Subjects: | Theory & Algorithms |
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| ID Code: | 8281 |
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| Deposited By: | Boris Horvat |
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| Deposited On: | 21 February 2012 |
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