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ICALP
2001
Springer
13 years 8 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
CCCG
2007
13 years 5 months ago
Approximating k-hop Minimum Spanning Trees in Euclidean Metrics
In the minimum-cost k-hop spanning tree (k-hop MST) problem, we are given a set S of n points in a metric space, a positive small integer k and a root point r ∈ S. We are intere...
Sören Laue, Domagoj Matijevic
SODA
2003
ACM
94views Algorithms» more  SODA 2003»
13 years 5 months ago
Sublinear-time approximation of Euclidean minimum spanning tree
Artur Czumaj, Funda Ergün, Lance Fortnow, Avn...
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
COMPGEOM
2003
ACM
13 years 9 months ago
Euclidean bounded-degree spanning tree ratios
Let τK be the worst-case (supremum) ratio of the weight of the minimum degree-K spanning tree to the weight of the minimum spanning tree, over all finite point sets in the Eu
Timothy M. Chan