Realizing Planar Graphs as Convex Polytopes
Rote, Günter (2012) Realizing Planar Graphs as Convex Polytopes. In: Graph Drawing 19th International Symposium, GD 2011, September 21-23, 2011, Eindhoven, The Netherlands , pp. 238-241 (Official URL: http://dx.doi.org/10.1007/978-3-642-25878-7_23).
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This is a survey on methods to construct a three-dimensional convex polytope with a given combinatorial structure, that is, with the edges forming a given 3-connected planar graph, focusing on efforts to achieve small integer coordinates.
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