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CCCG
2007
14 years 11 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»
14 years 11 months ago
Sublinear-time approximation of Euclidean minimum spanning tree
Artur Czumaj, Funda Ergün, Lance Fortnow, Avn...
COMPGEOM
2000
ACM
15 years 2 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»
14 years 9 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»
15 years 10 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