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FOCS
2008
IEEE
14 years 2 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»
13 years 11 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
ESA
2005
Springer
145views Algorithms» more  ESA 2005»
14 years 1 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...
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
14 years 1 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...
DAM
1999
169views more  DAM 1999»
13 years 7 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