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arXiv · 1808.10572

How to Fit a Tree in a Box

Hugo A. Akitaya·Maarten Löffler·Irene Parada
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Abstract

We study compact straight-line embeddings of trees. We show that perfect binary trees can be embedded optimally: a tree with $n$ nodes can be drawn on a $\sqrt n$ by $\sqrt n$ grid. We also show that testing whether a given binary tree has an upward embedding with a given combinatorial embedding in a given grid is NP-hard.

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Hugo A. Akitaya, Maarten Löffler, Irene Parada. 2018-08-31. How to Fit a Tree in a Box. https://arxiv.org/abs/1808.10572

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