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arXiv · 2108.12321

One-Bend Drawings of Outerplanar Graphs Inside Simple Polygons

Patrizio Angelini·Philipp Kindermann·Andre Löffler·Lena Schlipf·Antonios Symvonis
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Abstract

We consider the problem of drawing an outerplanar graph with $n$ vertices with at most one bend per edge if the outer face is already drawn as a simple polygon. We prove that it can be decided in $O(nm)$ time if such a drawing exists, where $m\le n-3$ is the number of interior edges. In the positive case, we can also compute such a drawing.

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Patrizio Angelini, Philipp Kindermann, Andre Löffler, Lena Schlipf, Antonios Symvonis. 2021-08-27. One-Bend Drawings of Outerplanar Graphs Inside Simple Polygons. https://arxiv.org/abs/2108.12321

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