3D Visibility Representations of Complete Graphs
Stola, Jan (2004) 3D Visibility Representations of Complete Graphs. In: Graph Drawing 11th International Symposium, GD 2003, September 21-24, 2003, Perugia, Italy , pp. 226-237 (Official URL: http://dx.doi.org/10.1007/978-3-540-24595-7_21).
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This paper continues the study of 3D visibility representations of complete graphs where vertices are represented by equal convex polygons lying in planes parallel to the xy-plane. Edges correspond to the z-parallel visibility among these polygons. We give several bounds on the size of the largest complete graph that has a 3D visibility representation with particular properties. Namely we improve the best known lower bound for representations by regular n-gons from to n+1 and the upper bound from to .
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