The techniques of Komolgorov and Bardzin for three-dimensional orthogonal graph drawings
Information Processing Letters
Three-dimensional orthogonal graph drawing algorithms
Discrete Applied Mathematics
Orthogonal Drawings with Few Layers
GD '01 Revised Papers from the 9th International Symposium on Graph Drawing
Optimal three-dimensional orthogonal graph drawing in the general position model
Theoretical Computer Science
Multilayer grid embeddings of iterated line digraphs
CATS '06 Proceedings of the 12th Computing: The Australasian Theroy Symposium - Volume 51
Complexity results for three-dimensional orthogonal graph drawing
Journal of Discrete Algorithms
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Some recent papers for three-dimensional orthogonal graph drawing use a technique introduced by Kolmogorov and Barzdin. This technique consists of assigning x-coordinates and y-coordinates, and then computing compatible z-coordinates, which was done via vertex-colouring a conflict graph. In this note, we show that compatible z-coordinates can also be found by edge-colouring a (different) conflict graph. As a consequence, the time complexity for computing the drawings decreases, and the volumes of the drawings are reduced as well.