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» Lower bounds for testing Euclidean Minimum Spanning Trees
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FOCS
2008
IEEE
13 years 11 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 5 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
SAC
2003
ACM
13 years 10 months ago
Greedy Heuristics and an Evolutionary Algorithm for the Bounded-Diameter Minimum Spanning Tree Problem
Given a connected, weighted, undirected graph G and a bound D, the bounded-diameter minimum spanning tree problem seeks a spanning tree on G of lowest weight in which no path betw...
Günther R. Raidl, Bryant A. Julstrom
FSTTCS
2007
Springer
13 years 11 months ago
Probabilistic Analysis of the Degree Bounded Minimum Spanning Tree Problem
In the b-degree constrained Euclidean minimum spanning tree problem (bMST) we are given n points in [0;1]d and a degree constraint b  2. The aim is to nd a minimum weight spannin...
Anand Srivastav, Sören Werth