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» Hardness and Approximation Results for Packing Steiner Trees
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JUCS
2007
148views more  JUCS 2007»
14 years 9 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
CATS
2007
14 years 11 months ago
Some Structural and Geometric Properties of Two-Connected Steiner Networks
We consider the problem of constructing a shortest Euclidean 2-connected Steiner network (SMN) for a set of terminals. This problem has natural applications in the design of survi...
K. Hvam, L. Reinhardt, Pawel Winter, Martin Zachar...
SODA
2010
ACM
215views Algorithms» more  SODA 2010»
15 years 6 months ago
Approximability of Robust Network Design
We consider robust network design problems where the set of feasible demands may be given by an arbitrary polytope or convex body more generally. This model, introduced by BenAmeu...
Neil Olver, F. Bruce Shepherd
COR
2007
108views more  COR 2007»
14 years 9 months ago
New primal-dual algorithms for Steiner tree problems
We present new primal-dual algorithms for several network design problems. The problems considered are the generalized Steiner tree problem (GST), the directed Steiner tree proble...
Vardges Melkonian
EOR
2008
107views more  EOR 2008»
14 years 9 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...