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» Approximation Algorithms for Quickest Spanning Tree Problems
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144
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CATS
1998
15 years 3 months ago
Finding the k Most Vital Edges with Respect to Minimum Spanning Trees for k=2 and 3
Let G(V, E) be a weighted, undirected, connected simple graph with n vertices and m edges. The k most vital edge problem with respect to minimum spanning trees is to find a set S o...
Weifa Liang, George Havas
SPAA
1993
ACM
15 years 6 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout
133
Voted
ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
15 years 8 months ago
Decision Making Based on Approximate and Smoothed Pareto Curves
Abstract. We consider bicriteria optimization problems and investigate the relationship between two standard approaches to solving them: (i) computing the Pareto curve and (ii) the...
Heiner Ackermann, Alantha Newman, Heiko Rögli...
GECCO
2009
Springer
143views Optimization» more  GECCO 2009»
15 years 9 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
125
Voted
GECCO
2007
Springer
162views Optimization» more  GECCO 2007»
15 years 8 months ago
Some novel locality results for the blob code spanning tree representation
The Blob Code is a bijective tree code that represents each tree on n labelled vertices as a string of n − 2 vertex labels. In recent years, several researchers have deployed th...
Tim Paulden, David K. Smith