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Two Algorithms for Three Dimensional Orthogonal Graph Drawing

Eades, Peter and Symvonis, Antonios and Whitesides, Sue (1997) Two Algorithms for Three Dimensional Orthogonal Graph Drawing. [Conference Paper]

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Abstract

We use basic results from graph theory to design two algorithms for constructing 3-dimesional, intersection-free orthogonal grid drawings of n vertex graphs of maximum degree 6. Our first algorithm gives drawings bounded by an O(\sqrt(n)) \times O(\sqrt(n)) \times O(\sqrt(n)) box; each edge route containing at most 7 bends. The best previous result generated edge routes containing up to 16 bends per route. Our second algorithm gives drawings having at most 3 bends per edge route. The drawings lie in an O(n) \times O(n) \times O(n) bounding box. Together , the two algorithms initiate the study of bends/bounding box trade-off issues for 3-dimensional grid drawings.

Item Type:Conference Paper
Classifications:G Algorithms and Complexity > G.210 Bends
P Styles > P.600 Poly-line > P.600.700 Orthogonal
P Styles > P.060 3D
ID Code:117
Deposited By:Arnopolina, Galina
Deposited On:20 Oct 2004
Last Modified:18 Sep 2008 13:08

Repository Staff Only: item control page

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