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CCCG
2009
13 years 6 months ago
Optimal Empty Pseudo-Triangles in a Point Set
Given n points in the plane, we study three optimization problems of computing an empty pseudo-triangle: we consider minimizing the perimeter, maximizing the area, and minimizing ...
Hee-Kap Ahn, Sang Won Bae, Iris Reinbacher
IMC
2003
ACM
13 years 10 months ago
On the number of distributed measurement points for network tomography
Internet topology information is only made available in aggregate form by standard routing protocols. Connectivity information and latency characteristicsmust therefore be inferre...
Joseph Douglas Horton, Alejandro López-Orti...
GD
2005
Springer
13 years 10 months ago
Odd Crossing Number Is Not Crossing Number
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
IWPEC
2004
Springer
13 years 10 months ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
COMPGEOM
2006
ACM
13 years 11 months ago
Random triangulations of planar point sets
Let S be a finite set of n + 3 points in general position in the plane, with 3 extreme points and n interior points. We consider triangulations drawn uniformly at random from the...
Micha Sharir, Emo Welzl