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CCCG
2007
13 years 8 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 8 months ago
Sublinear-time approximation of Euclidean minimum spanning tree
Artur Czumaj, Funda Ergün, Lance Fortnow, Avn...
COMPGEOM
2000
ACM
13 years 11 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
IPL
2007
114views more  IPL 2007»
13 years 7 months ago
Spanning trees with minimum weighted degrees
Given a metric graph G, we are concerned with finding a spanning tree of G where the maximum weighted degree of its vertices is minimum. In a metric graph (or its spanning tree),...
Mohammad Ghodsi, Hamid Mahini, Kian Mirjalali, Sha...
STOC
2004
ACM
122views Algorithms» more  STOC 2004»
14 years 7 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