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» Minimum Bounded Degree Spanning Trees
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SAC
2003
ACM
14 years 22 days ago
Greedy Heuristics and an Evolutionary Algorithm for the Bounded-Diameter Minimum Spanning Tree Problem
Given a connected, weighted, undirected graph G and a bound D, the bounded-diameter minimum spanning tree problem seeks a spanning tree on G of lowest weight in which no path betw...
Günther R. Raidl, Bryant A. Julstrom
COMBINATORICA
2008
112views more  COMBINATORICA 2008»
13 years 7 months ago
On the rigidity of molecular graphs
The rigidity of squares of graphs in three-space has important applications to the study of flexibility in molecules. The Molecular Conjecture, posed in 1984 by T-S. Tay and W. Wh...
Bill Jackson, Tibor Jordán
GECCO
2009
Springer
143views Optimization» more  GECCO 2009»
14 years 2 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
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 7 months ago
A Near-Tight Lower Bound on the Time Complexity of Distributed Minimum-Weight Spanning Tree Construction
This paper presents a lower bound of (D + n/ log n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in weighted n-vertex networks of ...
David Peleg, Vitaly Rubinovich
GECCO
2006
Springer
151views Optimization» more  GECCO 2006»
13 years 11 months ago
Neighbourhood searches for the bounded diameter minimum spanning tree problem embedded in a VNS, EA, and ACO
We consider the Bounded Diameter Minimum Spanning Tree problem and describe four neighbourhood searches for it. They are used as local improvement strategies within a variable nei...
Martin Gruber, Jano I. van Hemert, Günther R....