On embedding a graph in the grid with the minimum number of bends
SIAM Journal on Computing
Turn-regularity and optimal area drawings of orthogonal representations
Computational Geometry: Theory and Applications
Drawing graphs
On the complexity of orthogonal compaction
Computational Geometry: Theory and Applications
Complexity of finding non-planar rectilinear drawings of graphs
GD'10 Proceedings of the 18th international conference on Graph drawing
On rectilinear drawing of graphs
GD'09 Proceedings of the 17th international conference on Graph Drawing
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We show that several problems of compacting orthogonal graph drawings to use the minimum number of rows or the minimum possible area cannot be approximated to within better than a polynomial factor in polynomial time unless P=NP. However, there is a fixed-parameter-tractable algorithm for testing whether a drawing can be compacted to a given number of rows.