465 research outputs found
Straightening out planar poly-line drawings
We show that any -monotone poly-line drawing can be straightened out while
maintaining -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 -monotonicity is required: there are
poly-line drawings (not -monotone) that cannot be straightened out while
maintaining the height. We give some applications of our result.Comment: The main result turns out to be known (Pach & Toth, J. Graph Theory
2004, http://onlinelibrary.wiley.com/doi/10.1002/jgt.10168/pdf
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