3D Visibility Representations of Complete Graphs

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Abstract

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 [n+1 / 2]+2 to n+1 and the upper bound from 22n to (6n-3/3n-1) -3. © Springer-Verlag 2004.

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APA

Štola, J. (2004). 3D Visibility Representations of Complete Graphs. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2912, 226–237. https://doi.org/10.1007/978-3-540-24595-7_21

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