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arXiv · 1604.05249

Strongly Proximal Edelsbrunner-Harer Nerves in Voronoi Tessellations

J. F. Peters·E. Inan
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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.

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J. F. Peters, E. Inan. 2016-04-15. Strongly Proximal Edelsbrunner-Harer Nerves in Voronoi Tessellations. https://arxiv.org/abs/1604.05249

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