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.

Covella, B., Frati, F., & Patrignani, M. (2021). On the area requirements of planar straight-line orthogonal drawings of ternary trees. THEORETICAL COMPUTER SCIENCE, 852, 197-211 [10.1016/j.tcs.2020.11.032].

On the area requirements of planar straight-line orthogonal drawings of ternary trees

Frati, Fabrizio
;
Patrignani, Maurizio
2021

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.
Covella, B., Frati, F., & Patrignani, M. (2021). On the area requirements of planar straight-line orthogonal drawings of ternary trees. THEORETICAL COMPUTER SCIENCE, 852, 197-211 [10.1016/j.tcs.2020.11.032].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/375876
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