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» Discrepancy with respect to convex polygons
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IWPEC
2004
Springer
13 years 11 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
IOR
2008
85views more  IOR 2008»
13 years 6 months ago
Equity-Efficiency Bicriteria Location with Squared Euclidean Distances
A facility has to be located within a given region taking two criteria of equity and efficiency into account. Equity is sought by minimizing the inequality in the inhabitant-facil...
Yoshiaki Ohsawa, Naoya Ozaki, Frank Plastria
ALGORITHMICA
1998
143views more  ALGORITHMICA 1998»
13 years 5 months ago
On Minimum-Area Hulls
Abstract. We study some minimum-area hull problems that generalize the notion of convex hull to starshaped and monotone hulls. Specifically, we consider the minimum-area star-shap...
Esther M. Arkin, Yi-Jen Chiang, Martin Held, Josep...
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
13 years 11 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
13 years 7 months ago
Static and kinetic geometric spanners with applications
It is well known that the Delaunay Triangulation is a spanner graph of its vertices. In this paper we show that any bounded aspect ratio triangulation in two and three dimensions ...
Menelaos I. Karavelas, Leonidas J. Guibas