Sciweavers

106 search results - page 2 / 22
» On the Approximability of the Steiner Tree Problem in Phylog...
Sort
View
CCCG
2007
14 years 11 months ago
Terminal Steiner Tree with Bounded Edge Length
In this paper, we study a Steiner tree related problem called “Terminal Steiner Tree with Bounded Edge Length”: given a set of terminal points P in a plane, one is asked to ...
Zhiyong Lin
110
Voted
MFCS
2001
Springer
15 years 1 months ago
On the Approximability of the Steiner Tree Problem
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
Martin Thimm
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
15 years 3 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
CORR
2007
Springer
134views Education» more  CORR 2007»
14 years 9 months ago
A Partition-Based Relaxation For Steiner Trees
The Steiner tree problem is a classical NP-hard optimization problem with a wide range of practical applications. In an instance of this problem, we are given an undirected graph ...
Jochen Könemann, David Pritchard, Kunlun Tan
NETWORKS
2006
14 years 9 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner