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» Algorithms for Terminal Steiner Trees
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STOC
2004
ACM
118views Algorithms» more  STOC 2004»
14 years 7 months ago
Boosted sampling: approximation algorithms for stochastic optimization
Several combinatorial optimization problems choose elements to minimize the total cost of constructing a feasible solution that satisfies requirements of clients. In the STEINER T...
Anupam Gupta, Martin Pál, R. Ravi, Amitabh ...
ICALP
2005
Springer
14 years 26 days ago
Approximation Algorithms for Euclidean Group TSP
In the Euclidean group Traveling Salesman Problem (TSP), we are given a set of points P in the plane and a set of m connected regions, each containing at least one point of P. We w...
Khaled M. Elbassioni, Aleksei V. Fishkin, Nabil H....
GECCO
2004
Springer
123views Optimization» more  GECCO 2004»
14 years 22 days ago
Heuristic Methods for Solving Euclidean Non-uniform Steiner Tree Problems
In this paper, we consider a variation of the Euclidean Steiner Tree Problem in which the space underlying the set of nodes has a specified non-uniform cost structure. This proble...
Ian Frommer, Bruce L. Golden, Guruprasad Pundoor
APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
14 years 27 days ago
Approximation Schemes for Node-Weighted Geometric Steiner Tree Problems
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...
Jan Remy, Angelika Steger
JUCS
2007
148views more  JUCS 2007»
13 years 7 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