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STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 7 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
COMPGEOM
2000
ACM
13 years 11 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
ADHOCNOW
2008
Springer
14 years 1 months ago
Approximating Minimum-Power k-Connectivity
Abstract. The Minimum-Power k-Connected Subgraph (MPkCS) problem seeks a power (range) assignment to the nodes of a given wireless network such that the resulting communication (su...
Zeev Nutov
SODA
2010
ACM
196views Algorithms» more  SODA 2010»
14 years 4 months ago
Streaming Algorithms for extent problems in high dimensions
We develop (single-pass) streaming algorithms for maintaining extent measures of a stream S of n points in Rd . We focus on designing streaming algorithms whose working space is p...
Pankaj K Agarwal, R. Sharathkumar
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
14 years 24 days ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell