Trees in simple Polygons

Tillmann Miltzow

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arXiv · 1211.2118

Trees in simple Polygons

Tillmann Miltzow

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Abstract

We prove that every simple polygon contains a degree 3 tree encompassing a prescribed set of vertices. We give tight bounds on the minimal number of degree 3 vertices. We apply this result to reprove a result from Bose et al. that every set of disjoint line segments in the plane admits a binary tree.

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Tillmann Miltzow. 2012-11-09. Trees in simple Polygons. https://arxiv.org/abs/1211.2118

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