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ESA
2009
Springer
144views Algorithms» more  ESA 2009»
13 years 11 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
Michael Elkin, Shay Solomon
SODA
2008
ACM
93views Algorithms» more  SODA 2008»
13 years 6 months ago
Minimum weight convex Steiner partitions
New tight bounds are presented on the minimum length of planar straight line graphs connecting n given points in the plane and having convex faces. Specifically, we show that the ...
Adrian Dumitrescu, Csaba D. Tóth
GECCO
2006
Springer
135views Optimization» more  GECCO 2006»
13 years 8 months ago
A tree-based genetic algorithm for building rectilinear Steiner arborescences
A rectilinear Steiner arborescence (RSA) is a tree, whose nodes include a prescribed set of points, termed the vertices, in the first quadrant of the Cartesian plane, and whose tr...
William A. Greene
GECCO
2004
Springer
134views Optimization» more  GECCO 2004»
13 years 10 months ago
Combining a Memetic Algorithm with Integer Programming to Solve the Prize-Collecting Steiner Tree Problem
The prize-collecting Steiner tree problem on a graph with edge costs and vertex profits asks for a subtree minimizing the sum of the total cost of all edges in the subtree plus th...
Gunnar W. Klau, Ivana Ljubic, Andreas Moser, Petra...