Brass, Peter, Rote, Gunter and Swanepoel, Konrad 
ORCID: 0000-0002-1668-887X
(2001)
Triangles of extremal area or perimeter in a finite planar point set.
Discrete and Computational Geometry, 26 (1).
pp. 51-58.
ISSN 0179-5376
Identification Number: 10.1007/s00454-001-0010-6
Abstract
We show the following two results on a set of n points in the plane, thus answering questions posed by Erdos and Purdy [11]: 1. The maximum number of triangles of maximum area (or of maximum perimeter) in a set of n points in the plane is exactly n . 2. The maximum possible number of triangles of minimum positive area in a set of n points in the plane is Θ(n 2 ) .
| Item Type: | Article |
|---|---|
| Official URL: | http://www.springer.com/math/numbers/journal/454 |
| Additional Information: | © 2009 Springer |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 09 Oct 2009 09:47 |
| Last Modified: | 11 Dec 2024 22:23 |
| URI: | http://eprints.lse.ac.uk/id/eprint/25409 |
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