# The Complexity of Bendless Three-Dimensional Orthogonal Graph Drawing

@article{Eppstein2013TheCO, title={The Complexity of Bendless Three-Dimensional Orthogonal Graph Drawing}, author={D. Eppstein}, journal={J. Graph Algorithms Appl.}, year={2013}, volume={17}, pages={35-55} }

We consider embeddings of 3-regular graphs into 3-dimensional Cartesian coordinates, in such a way that two vertices are adjacent if and only if two of their three coordinates are equal (that is, if they lie on an axis-parallel line) and such that no three points lie on the same axis-parallel line; we call a graph with such an embedding an xyz graph}. We describe a correspondence between xyz graphs and face-colored embeddings of the graph onto two-dimensional manifolds, and we relate… Expand

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