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arXiv · 1902.11044

On the Area Requirements of Planar Straight-Line Orthogonal Drawings of Ternary Trees

Barbara Covella·Fabrizio Frati·Maurizio Patrignani
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Abstract

In this paper, we study the area requirements of planar straight-line orthogonal drawings of ternary trees. We prove that every ternary tree admits such a drawing in sub-quadratic area. Further, we present upper bounds, the outcomes of an experimental evaluation, and a conjecture on the area requirements of planar straight-line orthogonal drawings of complete ternary trees. Finally, we present a polynomial lower bound on the length of the minimum side of any planar straight-line orthogonal drawing of a complete ternary tree.

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Barbara Covella, Fabrizio Frati, Maurizio Patrignani. 2019-02-28. On the Area Requirements of Planar Straight-Line Orthogonal Drawings of Ternary Trees. https://arxiv.org/abs/1902.11044

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