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SODA
2004
ACM
151views Algorithms» more  SODA 2004»
13 years 9 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
14 years 2 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
14 years 1 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
14 years 2 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
14 years 8 days 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