G-2008-20
The Small Hexagon and Heptagon with Maximum Sum of Distances Between Vertices
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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.
Published March 2008 , 18 pages
Research Axis
Publication
Jan 2011
The small hexagon and heptagon with maximum sum of distances between vertices
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Journal of Global Optimization, 49(3), 467–480, 2011
BibTeX reference