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» Testing Euclidean minimum spanning trees in the plane
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GECCO
2009
Springer
143views Optimization» more  GECCO 2009»
14 years 1 months ago
Exploiting hierarchical clustering for finding bounded diameter minimum spanning trees on euclidean instances
The bounded diameter minimum spanning tree problem is an NP-hard combinatorial optimization problem arising, for example, in network design when quality of service is of concern. ...
Martin Gruber, Günther R. Raidl
SODA
2003
ACM
94views Algorithms» more  SODA 2003»
13 years 8 months ago
Sublinear-time approximation of Euclidean minimum spanning tree
Artur Czumaj, Funda Ergün, Lance Fortnow, Avn...
STOC
1994
ACM
97views Algorithms» more  STOC 1994»
13 years 11 months ago
An O(log k) approximation algorithm for the k minimum spanning tree problem in the plane
Givenn points in the Euclideanplane,we considerthe problemof findingthe minimumtree spanninganyk points.The problemis NP-hardand we givean O(logk)-approximationalgorithm. Key Words...
Naveen Garg, Dorit S. Hochbaum
FOCS
1992
IEEE
13 years 11 months ago
Dynamic Half-Space Reporting, Geometric Optimization, and Minimum Spanning Trees
We describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, we obtain efficient dyna...
Pankaj K. Agarwal, David Eppstein, Jirí Mat...
ICTAI
2006
IEEE
14 years 1 months ago
Minimum Spanning Tree Based Clustering Algorithms
We propose two Euclidean minimum spanning tree based clustering algorithms — one a k-constrained, and the other an unconstrained algorithm. Our k-constrained clustering algorith...
Oleksandr Grygorash, Yan Zhou, Zach Jorgensen