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» A 3-Approximation for the Minimum Tree Spanning k Vertices
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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
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
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 6 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
SRDS
1998
IEEE
13 years 9 months ago
Practical Parallel Algorithms for Minimum Spanning Trees
We study parallel algorithms for computing the minimum spanning tree of a weighted undirected graph G with n vertices and m edges. We consider an input graph G with m=n p, where p...
Frank K. H. A. Dehne, Silvia Götz
SAC
2000
ACM
13 years 9 months ago
A Weighted Coding in a Genetic Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The coding by which chromosomes represent candidate solutions is a fundamental design choice in a genetic algorithm. This paper describes a novel coding of spanning trees in a gen...
Günther R. Raidl, Bryant A. Julstrom