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arXiv · 1404.5892

Straightening out planar poly-line drawings

Therese Biedl
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Abstract

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.

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Therese Biedl. 2014-04-24. Straightening out planar poly-line drawings. https://arxiv.org/abs/1404.5892

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