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» An O(log k) approximation algorithm for the k minimum spanni...
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STOC
1994
ACM
97views Algorithms» more  STOC 1994»
13 years 9 months ago
An O(log k) approximation algorithm for the k minimum spanning tree problem in the plane
Givenn points in the Euclideanplane,we considerthe problemof findingthe minimumtree spanninganyk points.The problemis NP-hardand we givean O(logk)-approximationalgorithm. Key Words...
Naveen Garg, Dorit S. Hochbaum
CCCG
2007
13 years 6 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
FOCS
1996
IEEE
13 years 9 months ago
A 3-Approximation for the Minimum Tree Spanning k Vertices
In thispaper we give a 3-approximationalgorithmfor the problem ojJnding a minimum tree spanning any k-vertices in a graph. Our algorithm extends to a 3-approximationalgorithmfor t...
Naveen Garg
AAIM
2010
Springer
155views Algorithms» more  AAIM 2010»
13 years 8 months ago
The (K, k)-Capacitated Spanning Tree Problem
Abstract. This paper considers a generalization of the capacitated spanning tree, in which some of the nodes have capacity K, and the others have capacity k < K. We prove that t...
Esther M. Arkin, Nili Guttmann-Beck, Refael Hassin
CATS
1998
13 years 6 months ago
Finding the k Most Vital Edges with Respect to Minimum Spanning Trees for k=2 and 3
Let G(V, E) be a weighted, undirected, connected simple graph with n vertices and m edges. The k most vital edge problem with respect to minimum spanning trees is to find a set S o...
Weifa Liang, George Havas