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Angle-monotone Paths in Non-obtuse Triangulations
- Publication Year :
- 2017
-
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.<br />Comment: 6 pages, 9 figures, 6 references. To appear in the *Canadian Conference on Computational Geometry*, July 2017
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1707.00219
- Document Type :
- Working Paper