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OPODIS
2001
13 years 9 months ago
A Very Fast (Linear Time) Distributed Algorithm, on General Graphs, for the Minimum-Weight Spanning Tree
In their pioneering paper [4], Gallager et al. introduced a distributed algorithm for constructing the minimum-weight spanning tree (MST), many authors have suggested ways to enhan...
Lélia Blin, Franck Butelle
CORR
2006
Springer
153views Education» more  CORR 2006»
13 years 7 months ago
A distributed approximation algorithm for the minimum degree minimum weight spanning trees
Fischer proposes in [4] a sequential algorithm to compute a minimum weight spanning tree of maximum degree at most b + logb n in time O n4+1/ln b for any constant b > 1, where ...
Christian Lavault, Mario Valencia-Pabon
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
SIAMNUM
2010
123views more  SIAMNUM 2010»
13 years 2 months ago
Critical Analysis of the Spanning Tree Techniques
Two algorithms based upon a tree-cotree decomposition, called in this paper spanning tree technique (STT) and generalized spanning tree technique (GSTT), have been shown to be usef...
Pawel Dlotko, Ruben Specogna
ICALP
2001
Springer
14 years 22 hour 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