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» Approximating the Weight of Shallow Steiner Trees
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DAM
1999
169views more  DAM 1999»
14 years 10 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
COCOA
2009
Springer
15 years 4 months ago
A PTAS for Node-Weighted Steiner Tree in Unit Disk Graphs
Abstract. The node-weighted Steiner tree problem is a variation of classical Steiner minimum tree problem. Given a graph G = (V, E) with node weight function C : V → R+ and a sub...
Xianyue Li, Xiao-Hua Xu, Feng Zou, Hongwei Du, Pen...
ICALP
2009
Springer
15 years 10 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
75
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APPROX
2006
Springer
110views Algorithms» more  APPROX 2006»
15 years 1 months ago
Approximating Buy-at-Bulk and Shallow-Light k-Steiner Trees
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Mohammad ...