Straightening out planar poly-line drawings [article]

Therese Biedl
2014 arXiv   pre-print
We show that any y-monotone poly-line drawing can be straightened out while maintaining y-coordinates and height. The width may increase much, but we also show that on some graphs exponential width is required if we do not want to increase the height. Likewise y-monotonicity is required: there are poly-line drawings (not y-monotone) that cannot be straightened out while maintaining the height. We give some applications of our result.
arXiv:1404.5892v2 fatcat:aumv4cy43zbjbbjwimhqf2dali