On the maximum area pentagon in a planar point set
type: Item
instance of: scholarly article
title: On the maximum area pentagon in a planar point set
zbMATH Open document ID: 1182.52002
author: Yatao Du
author: Ren Ding
published in: Applied Mathematics Letters
publication date: 2009-10-30T00:00:00Z
review text: A finite set of points \(P\) in the plane is said to be in convex position if it forms the set of vertices of a convex polygon. This work studies the ratio between the maximum area of convex pentagons with vertices in \(P\) and the area of the convex hull of \(P\) [cf. \textit{P. Erdős} and \textit{A. Soifer}, Geombinatorics 2, No.~4, 72--74 (1993; Zbl 0844.52002)].
reviewed by: Anatoliy Milka
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 52A38
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 5623833
zbMATH Keywords: convex position
zbMATH Keywords: convex hull
zbMATH Keywords: affine transformation
MaRDI profile type: Publication
full work available at URL: j.aml.2006.01.006
OpenAlex ID: W2081843763
cites work: Combinatorial Geometry and Graph Theory
cites work: Simultaneous inner and outer approximation of shapes
cites work: On the quantitative Steinitz theorem in the plane
cites work: On the exact constant in the quantitative Steinitz theorem in the plane
cites work: Quantitative Helly-Type Theorems
cites work: Q4873171
DOI: 10.1016/J.AML.2006.01.006
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description: scientific article; zbMATH DE number 5623833