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arXiv · 1301.3471

Embedding a balanced binary tree on a bounded point set

Fatemeh Rajabi-Alni·Alireza Bagheri
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Abstract

Given an undirected planar graph G with n vertices and a set S of n points inside a simple polygon P, a point-set embedding of G on S is a planar drawing of G such that each vertex is mapped to a distinct point of S and the edges are polygonal chains surrounded by P. A special case of the embedding problem is that in which G is a balanced binary tree. In this paper, we present a new algorithm for embedding an n-vertex balanced binary tree BBT on a set S of n points bounded by a simple m-gon P in O(m^2 + n(log n)^2 + mn) time with at most O(m) bends per edge.

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Fatemeh Rajabi-Alni, Alireza Bagheri. 2013-10-21. Embedding a balanced binary tree on a bounded point set. https://arxiv.org/abs/1301.3471

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