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» On sequential triangulations of simple polygons
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CCCG
2008
13 years 8 months ago
Triangulating and Guarding Realistic Polygons
We propose a new model of realistic input: k-guardable objects. An object is k-guardable if its boundary can be seen by k guards in the interior of the object. In this abstract, w...
Greg Aloupis, Prosenjit Bose, Vida Dujmovic, Chris...
SIROCCO
2001
13 years 8 months ago
Competitive Online Routing in Geometric Graphs
We consider online routing algorithms for finding paths between the vertices of plane graphs. Although it has been shown in Bose et al. [4] that there exists no competitive routin...
Prosenjit Bose, Pat Morin
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
13 years 8 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
CCCG
2003
13 years 8 months ago
Degree Bounds for Constrained Pseudo-Triangulations
We introduce the concept of a constrained pointed pseudo-triangulation TG of a point set S with respect to a pointed planar straight line graph G = (S, E). For the case that G for...
Oswin Aichholzer, Michael Hoffmann, Bettina Speckm...
IWPEC
2004
Springer
14 years 21 days 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