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» Approximating the Weight of Shallow Steiner Trees
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COMGEO
2002
ACM
13 years 5 months ago
Quadtree, ray shooting and approximate minimum weight Steiner triangulation
We present a quadtree-based decomposition of the interior of a polygon with holes. The complete decomposition yields a constant factor approximation of the minimum weight Steiner ...
Siu-Wing Cheng, Kam-Hing Lee
JUCS
2007
148views more  JUCS 2007»
13 years 5 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
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
13 years 10 months 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
COCOA
2008
Springer
13 years 7 months ago
Elementary Approximation Algorithms for Prize Collecting Steiner Tree Problems
This paper deals with approximation algorithms for the prize collecting generalized Steiner forest problem, defined as follows. The input is an undirected graph G = (V, E), a colle...
Shai Gutner
ICDE
2009
IEEE
133views Database» more  ICDE 2009»
14 years 3 days ago
STAR: Steiner-Tree Approximation in Relationship Graphs
— Large graphs and networks are abundant in modern information systems: entity-relationship graphs over relational data or Web-extracted entities, biological networks, social onl...
Gjergji Kasneci, Maya Ramanath, Mauro Sozio, Fabia...