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STOC
2007
ACM
239views Algorithms» more  STOC 2007»
16 years 1 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
15 years 5 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
15 years 7 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»
15 years 10 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»
15 years 6 months 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