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Authors: Weitbrecht, Felix
Title: On the number of Delaunay Triangles occurring in all contiguous subsequences
Issue Date: 2020 Abschlussarbeit (Master) 19
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 Θ(n log n) bound on E[|T|].
Appears in Collections:05 Fakultät Informatik, Elektrotechnik und Informationstechnik

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