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» An Optimal Minimum Spanning Tree Algorithm
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ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
13 years 7 months ago
On Sorting, Heaps, and Minimum Spanning Trees
Let A be a set of size m. Obtaining the first k m elements of A in ascending order can be done in optimal O(m + k log k) time. We present Incremental Quicksort (IQS), an algorith...
Gonzalo Navarro, Rodrigo Paredes
PODC
2009
ACM
14 years 8 months ago
Brief announcement: minimum spanning trees and cone-based topology control
Consider a setting where nodes can vary their transmission power thereby changing the network topology, the goal of topology control is to reduce the transmission power while ensu...
Alejandro Cornejo, Nancy A. Lynch
EUROCAST
2009
Springer
185views Hardware» more  EUROCAST 2009»
14 years 1 months ago
Solving the Euclidean Bounded Diameter Minimum Spanning Tree Problem by Clustering-Based (Meta-)Heuristics
The bounded diameter minimum spanning tree problem is an NP-hard combinatorial optimization problem arising in particular in network design. There exist various exact and metaheuri...
Martin Gruber, Günther R. Raidl
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 8 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
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