The small hexagon and heptagon with maximum sum of distances between vertices

Charles Audet, Anthony Guillou, Pierre Hansen, Frédéric Messine () and Sylvain Perron

Journal of Global Optimization, 2011, vol. 49, issue 3, 467-480

Abstract: The hexagon and heptagon with unit diameter and maximum sum of Euclidean distances between vertices are determined by enumerating diameter configurations, and by using a branch and cut algorithm for nonconvex quadratic programming. Lower bounds on the value on this sum are presented for polygon with a larger number of vertices. Copyright Springer Science+Business Media, LLC. 2011

Keywords: Polygon; Sum of distances; Diameter; Isodiametric problem (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10898-010-9572-2

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