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» On the Crossing Spanning Tree Problem
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OPODIS
2001
13 years 10 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
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 8 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
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 10 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
SIAMNUM
2010
123views more  SIAMNUM 2010»
13 years 3 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
FOCS
2009
IEEE
14 years 3 months ago
Faster Generation of Random Spanning Trees
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
Jonathan A. Kelner, Aleksander Madry