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Construction of planar triangulations with minimum degree 5

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Brinkmann, Gunnar; McKay, Brendan

Description

In this article, we describe a method of constructing all simple triangulations of the sphere with minimum degree 5; equivalently, 3-connected planar cubic graphs with girth 5. We also present the results of a computer program based on this algorithm, including counts of convex polytopes of minimum degree 5.

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
URI: http://hdl.handle.net/1885/83635
Source: Discrete Mathematics
DOI: 10.1016/j.disc.2005.06.019

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