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74
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JCO
2010
169views more  JCO 2010»
14 years 8 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu
APPROX
2007
Springer
115views Algorithms» more  APPROX 2007»
15 years 3 months ago
Improved Approximation Algorithms for the Spanning Star Forest Problem
A star graph is a tree of diameter at most two. A star forest is a graph that consists of node-disjoint star graphs. In the spanning star forest problem, given an unweighted graph ...
Ning Chen, Roee Engelberg, C. Thach Nguyen, Prasad...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
15 years 10 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
101
Voted
SODA
2008
ACM
93views Algorithms» more  SODA 2008»
14 years 11 months ago
Minimum weight convex Steiner partitions
New tight bounds are presented on the minimum length of planar straight line graphs connecting n given points in the plane and having convex faces. Specifically, we show that the ...
Adrian Dumitrescu, Csaba D. Tóth
CVPR
2004
IEEE
15 years 11 months ago
Fast Contour Matching Using Approximate Earth Mover's Distance
Weighted graph matching is a good way to align a pair of shapes represented by a set of descriptive local features; the set of correspondences produced by the minimum cost matchin...
Kristen Grauman, Trevor Darrell