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ICALP
2001
Springer
13 years 9 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
STOC
2004
ACM
122views Algorithms» more  STOC 2004»
14 years 4 months ago
Estimating the weight of metric minimum spanning trees in sublinear-time
In this paper we present a sublinear time (1+ )-approximation randomized algorithm to estimate the weight of the minimum spanning tree of an n-point metric space. The running time...
Artur Czumaj, Christian Sohler
OPODIS
2001
13 years 5 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 4 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
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
13 years 5 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...