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» On the Value of a Random Minimum Weight Steiner Tree
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STOC
2006
ACM
186views Algorithms» more  STOC 2006»
15 years 12 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
15 years 1 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
ICALP
2001
Springer
15 years 4 months ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan
GECCO
2004
Springer
134views Optimization» more  GECCO 2004»
15 years 5 months ago
Combining a Memetic Algorithm with Integer Programming to Solve the Prize-Collecting Steiner Tree Problem
The prize-collecting Steiner tree problem on a graph with edge costs and vertex profits asks for a subtree minimizing the sum of the total cost of all edges in the subtree plus th...
Gunnar W. Klau, Ivana Ljubic, Andreas Moser, Petra...
AINA
2008
IEEE
15 years 6 months ago
Optimal Resource Discovery Paths of Gnutella2
This paper shows that the performance of peer-to-peer resource discovery algorithms is upper bounded by a k-Steiner minimum tree and proposes an algorithm locating near-optimal qu...
Mikko Vapa, Annemari Auvinen, Yevgeniy Ivanchenko,...