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SODA
2004
ACM
151views Algorithms» more  SODA 2004»
13 years 6 months ago
Minimum moment Steiner trees
For a rectilinear Steiner tree T with a root, define its k-th moment Mk(T) = T (dT (u))k du, where the integration is over all edges of T, dT (u) is the length of the unique path ...
Wangqi Qiu, Weiping Shi
COCOA
2009
Springer
13 years 12 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...
COCOON
2005
Springer
13 years 11 months ago
Algorithms for Terminal Steiner Trees
The terminal Steiner tree problem (TST) consists of finding a minimum cost Steiner tree where each terminal is a leaf. We describe a factor 2ρ−ρ/(3ρ−2) approximation algor...
Fábio Viduani Martinez, José Coelho ...
ICPADS
2007
IEEE
13 years 11 months ago
Parallel Minimum Spanning Tree Heuristic for the steiner problem in graphs
Given an undirected graph with weights associated with its edges, the Steiner tree problem consists of finding a minimum weight subtree spanning a given subset of (terminal) nodes...
Hoda Akbari, Zeinab Iranmanesh, Mohammad Ghodsi
MFCS
2001
Springer
13 years 9 months ago
On the Approximability of the Steiner Tree Problem
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
Martin Thimm