Angle-monotone Paths in Non-obtuse Triangulations
Computational Geometry
2017-07-04 v1 Discrete Mathematics
Abstract
We reprove a result of Dehkordi, Frati, and Gudmundsson: every two vertices in a non-obtuse triangulation of a point set are connected by an angle-monotone path--an xy-monotone path in an appropriately rotated coordinate system. We show that this result cannot be extended to angle-monotone spanning trees, but can be extended to boundary-rooted spanning forests. The latter leads to a conjectural edge-unfolding of sufficiently shallow polyhedral convex caps.
Keywords
Cite
@article{arxiv.1707.00219,
title = {Angle-monotone Paths in Non-obtuse Triangulations},
author = {Anna Lubiw and Joseph O'Rourke},
journal= {arXiv preprint arXiv:1707.00219},
year = {2017}
}
Comments
6 pages, 9 figures, 6 references. To appear in the *Canadian Conference on Computational Geometry*, July 2017