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» Geometric Spanners for Weighted Point Sets
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COMPGEOM
2006
ACM
14 years 1 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
ICCSA
2007
Springer
14 years 1 months ago
Shortest Path Queries Between Geometric Objects on Surfaces
Abstract. We consider geometric shortest path queries between arbitrary pairs of objects on a connected polyhedral surface P of genus g. The query objects are points, vertices, edg...
Hua Guo, Anil Maheshwari, Doron Nussbaum, Jör...
STOC
2007
ACM
146views Algorithms» more  STOC 2007»
14 years 7 months ago
Playing games with approximation algorithms
In an online linear optimization problem, on each period t, an online algorithm chooses st S from a fixed (possibly infinite) set S of feasible decisions. Nature (who may be adve...
Sham M. Kakade, Adam Tauman Kalai, Katrina Ligett
CCCG
2009
13 years 8 months ago
Data Structures for Range Aggregation by Categories
We solve instances of a general class of problems defined as follows: Preprocess a set S of possibly weighted colored geometric objects (e.g. points/orthogonal segments/rectangles...
Saladi Rahul, Prosenjit Gupta, K. S. Rajan
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 4 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...