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FOCS
2008
IEEE
15 years 10 months ago
Degree Bounded Network Design with Metric Costs
Given a complete undirected graph, a cost function on edges and a degree bound B, the degree bounded network design problem is to find a minimum cost simple subgraph with maximum...
Yuk Hei Chan, Wai Shing Fung, Lap Chi Lau, Chun Ko...
STOC
1994
ACM
97views Algorithms» more  STOC 1994»
15 years 7 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
135
Voted
ESA
2005
Springer
145views Algorithms» more  ESA 2005»
15 years 9 months ago
Approximation Schemes for Minimum 2-Connected Spanning Subgraphs in Weighted Planar Graphs
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
André Berger, Artur Czumaj, Michelangelo Gr...
136
Voted
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
15 years 9 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
138
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DAM
1999
169views more  DAM 1999»
15 years 3 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg