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» Coverage Diameters of Polygons
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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
INFOCOM
2003
IEEE
13 years 10 months ago
Unreliable Sensor Grids: Coverage, Connectivity and Diameter
Abstract— We consider an unreliable wireless sensor gridnetwork with n nodes placed in a square of unit area. We are interested in the coverage of the region and the connectivity...
Sanjay Shakkottai, R. Srikant, Ness B. Shroff
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...
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
ALENEX
2007
130views Algorithms» more  ALENEX 2007»
13 years 6 months ago
Locating Guards for Visibility Coverage of Polygons
We propose heuristics for visibility coverage of a polygon with the fewest point guards. This optimal coverage problem, often called the “art gallery problem”, is known to be ...
Yoav Amit, Joseph S. B. Mitchell, Eli Packer