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» Acute Triangulations of Polygons
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SIROCCO
2001
13 years 9 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 9 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
AAAI
2007
13 years 10 months ago
Simple Robots with Minimal Sensing: From Local Visibility to Global Geometry
We consider problems of geometric exploration and selfdeployment for simple robots that can only sense the combinatorial (non-metric) features of their surroundings. Even with suc...
Subhash Suri, Elias Vicari, Peter Widmayer
MOC
2000
76views more  MOC 2000»
13 years 7 months ago
The convergence of the cascadic conjugate-gradient method applied to elliptic problems in domains with re-entrant corners
Abstract. We study the convergence properties of the cascadic conjugategradient method (CCG-method), which can be considered as a multilevel method without coarse-grid correction. ...
Vladimir Shaidurov, Lutz Tobiska
COMGEO
2002
ACM
13 years 7 months ago
Quadtree, ray shooting and approximate minimum weight Steiner triangulation
We present a quadtree-based decomposition of the interior of a polygon with holes. The complete decomposition yields a constant factor approximation of the minimum weight Steiner ...
Siu-Wing Cheng, Kam-Hing Lee