Strongly Proximal Edelsbrunner-Harer Nerves in Voronoi Tessellations
Metric Geometry
2016-04-19 v1
Abstract
This paper introduces Edelsbrunner-Harer nerve in collections of Voronoi regions (called nucleus clusters) endowed with one or more proximity relations. The main results in this paper are that a maximal nucleus cluster (MNC) in a Voronoi Tessellation is a strongly proximal Edelsbrunner-Harer nerve, each MNC nerve and the union of the sets in the MNC have the same homotopy type.
Keywords
Cite
@article{arxiv.1604.05249,
title = {Strongly Proximal Edelsbrunner-Harer Nerves in Voronoi Tessellations},
author = {J. F. Peters and E. Inan},
journal= {arXiv preprint arXiv:1604.05249},
year = {2016}
}
Comments
10 pages, 4 figures