
Summary: We present two algorithms for orthogonal graph drawing in three dimensional space. For a graph with \(n\) vertices of maximum degree six, the 3-D drawing is produced in linear time, has volume at most \(4.63n^3\) and has at most three bends per edge. If the degree of the graph is arbitrary, the vertices are represented by solid 3-D boxes whose surface is proportional to their degree. The produced drawing has two bends per edge. Both algorithms guarantee no crossings and can be used under an interactive setting (i.e., vertices arrive and enter the drawing on-line), as well.
orthogonal graph drawing, Graph theory (including graph drawing) in computer science, Graph algorithms (graph-theoretic aspects), Computer graphics; computational geometry (digital and algorithmic aspects), algorithms, Planar graphs; geometric and topological aspects of graph theory
orthogonal graph drawing, Graph theory (including graph drawing) in computer science, Graph algorithms (graph-theoretic aspects), Computer graphics; computational geometry (digital and algorithmic aspects), algorithms, Planar graphs; geometric and topological aspects of graph theory
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