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DCG
2006
101views more  DCG 2006»
13 years 4 months ago
Isodiametric Problems for Polygons
The maximal area of a polygon with n = 2m edges and unit diameter is not known when m 5, nor is the maximal perimeter of a convex polygon with n = 2m edges and unit diameter known...
Michael J. Mossinghoff
JCT
2011
84views more  JCT 2011»
12 years 11 months ago
Enumerating isodiametric and isoperimetric polygons
For a positive integer n that is not a power of 2, precisely the same family of convex polygons with n sides is optimal in three different geometric problems. These polygons have ...
Michael J. Mossinghoff
COMGEO
2008
ACM
13 years 4 months ago
Decomposing a simple polygon into pseudo-triangles and convex polygons
In this paper we consider the problem of decomposing a simple polygon into subpolygons that exclusively use vertices of the given polygon. We allow two types of subpolygons: pseud...
Stefan Gerdjikov, Alexander Wolff
TJS
2002
122views more  TJS 2002»
13 years 4 months ago
Optimal BSR Solutions to Several Convex Polygon Problems
Abstract. This paper focuses on BSR (Broadcasting with Selective Reduction) implementation of algorithms solving basic convex polygon problems. More precisely, constant time soluti...
Jean Frédéric Myoupo, David Sem&eacu...
CEC
2009
IEEE
13 years 11 months ago
Towards an evolved lower bound for the most circular partition of a square
— We examine the problem of partitioning a square into convex polygons which are as circular as possible. Circular means that the polygon’s aspect ratio is supposed to be near
Claudia Obermaier, Markus Wagner