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» The saga of minimum spanning trees
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CIAC
2000
Springer
210views Algorithms» more  CIAC 2000»
14 years 3 months ago
Computing a Diameter-Constrained Minimum Spanning Tree in Parallel
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to ...
Narsingh Deo, Ayman Abdalla
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 11 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
EOR
2008
66views more  EOR 2008»
13 years 11 months ago
"Optimistic" weighted Shapley rules in minimum cost spanning tree problems
We introduce optimistic weighted Shapley rules in minimum cost spanning tree problems. We dene them as the weighted Shapley values of the optimistic game v+ introduced in Berganti
Gustavo Bergantiños, Silvia Lorenzo-Freire
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 10 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
ICALP
2001
Springer
14 years 3 months ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan