Master Thesis MSTR-2020-05

BibliographyWeitbrecht, Felix: On the number of Delaunay Triangles occurring in all contiguous subsequenes.
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology, Master Thesis No. 5 (2020).
20 pages, english.
Abstract

Given an ordered sequence of points P = {p1, p2, ..., pn}, we consider all contiguous subsequences Pi,j := {pi, ..., pj} of P and the set T of distinct Delaunay triangles within their Delaunay triangulations. For arbitrary point sets and orderings, we give an O(n^2) bound on |T|. Furthermore, for arbitrary point sets in uniformly random order, we give two proofs of a T(n log n) bound on E[|T|].

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Department(s)University of Stuttgart, Institute of Formal Methods in Computer Science, Algorithmic
Superviser(s)Funke, Prof. Stefan
Entry dateJune 24, 2020
   Publ. Computer Science