Drawing K_n in Three Dimensions with One Bend per Edge

Devillers, Olivier and Everett, Hazel and Lazard, Sylvain and Pentcheva, Maria and Wismath, Stephen (2006) Drawing K_n in Three Dimensions with One Bend per Edge. In: Graph Drawing 13th International Symposium, GD 2005, September 12-14, 2005, Limerick, Ireland , pp. 83-88 (Official URL: http://dx.doi.org/10.1007/11618058_8).

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We give a drawing of K_n in three dimensions in which vertices are placed at integer grid points and edges are drawn crossing-free with at most one bend per edge in a volume bounded by O(n^{2.5}). This represents a significant improvement over previous drawings in this model.

Item Type:Conference Paper
Additional Information:10.1007/11618058_8
Classifications:G Algorithms and Complexity > G.070 Area / Edge Length
G Algorithms and Complexity > G.210 Bends
P Styles > P.060 3D
ID Code:682

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