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EOR
2008
107views more  EOR 2008»
13 years 7 months ago
Fast heuristics for the Steiner tree problem with revenues, budget and hop constraints
This article describes and compares three heuristics for a variant of the Steiner tree problem with revenues, which includes budget and hop constraints. First, a greedy method whi...
Alysson M. Costa, Jean-François Cordeau, Gi...
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 17 days ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
14 years 22 days ago
The Polymatroid Steiner Problems
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminals S ⊆ V in a weighted graph G = (V, E, c), c : E → R+ . In this paper we consider a genera...
Gruia Calinescu, Alexander Zelikovsky
COCOON
2005
Springer
14 years 27 days 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 ...