Results 1  10
of
1,258
2 STEINER TREE PROBLEM
, 2011
"... We study the Primal Dual approach in approximation algorithms for the NP hard problems of: Steiner tree problem andPrize collecting steiner tree problem. ..."
Abstract
 Add to MetaCart
We study the Primal Dual approach in approximation algorithms for the NP hard problems of: Steiner tree problem andPrize collecting steiner tree problem.
Packing Steiner trees
"... The Steiner packing problem is to find the maximum number of edgedisjoint subgraphs of a given graph G that connect a given set of required points S. This problem is motivated by practical applications in VLSIlayout and broadcasting, as well as theoretical reasons. In this paper, we study this p ..."
Abstract

Cited by 108 (5 self)
 Add to MetaCart
this problem and present an algorithm with an asymptotic approximation factor of S/4. This gives a sufficient condition for the existence of k edgedisjoint Steiner trees in a graph in terms of the edgeconnectivity of the graph. We will show that this condition is the best possible if the number
Improved Steiner Tree Approximation in Graphs
, 2000
"... The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices (terminals). We present a new polynomialtime heuristic with an approximation ratio approaching 1 + 2 1:55, which improves upon the previously bestknown approximation ..."
Abstract

Cited by 225 (6 self)
 Add to MetaCart
The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices (terminals). We present a new polynomialtime heuristic with an approximation ratio approaching 1 + 2 1:55, which improves upon the previously best
The Euclidean Steiner Tree Problem
, 2004
"... The Euclidean Steiner tree problem is solved by finding the tree with minimal Euclidean length spanning a set of fixed vertices in the plane, while allowing for the addition of auxiliary vertices (Steiner vertices). Steiner trees are widely used to design realworld structures like highways and oil ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
The Euclidean Steiner tree problem is solved by finding the tree with minimal Euclidean length spanning a set of fixed vertices in the plane, while allowing for the addition of auxiliary vertices (Steiner vertices). Steiner trees are widely used to design realworld structures like highways and oil
On the terminal Steiner tree problem
, 2002
"... We investigate a practical variant of the wellknown graph Steiner tree problem. In this variant, every target vertex is required to be a leaf vertex in the solution Steiner tree. We present hardness results for this variant as well as a polynomial time approximation algorithm with performance ratio ..."
Abstract

Cited by 9 (0 self)
 Add to MetaCart
We investigate a practical variant of the wellknown graph Steiner tree problem. In this variant, every target vertex is required to be a leaf vertex in the solution Steiner tree. We present hardness results for this variant as well as a polynomial time approximation algorithm with performance
Approximating Steiner trees
, 2006
"... We give a presentation of Robins and Zelikovsky’s 1.55 approximation algorithm to the Steiner Tree Problem and a thorough proof of its approximation ratio. Furthermore we sketch a proof by Thimm bounding the approximability of the Steiner Tree Problem. 1 ..."
Abstract
 Add to MetaCart
We give a presentation of Robins and Zelikovsky’s 1.55 approximation algorithm to the Steiner Tree Problem and a thorough proof of its approximation ratio. Furthermore we sketch a proof by Thimm bounding the approximability of the Steiner Tree Problem. 1
The full Steiner tree problem
, 2003
"... Motivated by the reconstruction of phylogenetic tree in biology, we study the full Steiner tree problem in this paper. Given a complete graph G = (V; E) with a length function on E and a proper subset R ⊂ V, the problem is to 4nd a full Steiner tree of minimum length in G, which is a kind of Steiner ..."
Abstract

Cited by 9 (1 self)
 Add to MetaCart
Motivated by the reconstruction of phylogenetic tree in biology, we study the full Steiner tree problem in this paper. Given a complete graph G = (V; E) with a length function on E and a proper subset R ⊂ V, the problem is to 4nd a full Steiner tree of minimum length in G, which is a kind
Minimum Moment Steiner Trees
"... For a rectilinear Steiner tree T with a root, define its . . . k du, where the integration is over all edges of T, dT (u) is the length of the unique path in T from the root to u, and du is the incremental edge length. Given a set of points P in the plane, a kth moment Steiner Minimum Tree (kSMT) ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
For a rectilinear Steiner tree T with a root, define its . . . k du, where the integration is over all edges of T, dT (u) is the length of the unique path in T from the root to u, and du is the incremental edge length. Given a set of points P in the plane, a kth moment Steiner Minimum Tree (k
Advances in Steiner Trees
 Advances in Steiner Trees
, 1998
"... We present a computational study of exact algorithms for the Euclidean and rectilinear Steiner tree problems in the plane. These algorithms  which are based on the generation and concatenation of full Steiner trees  are much more efficient than other approaches and allow exact solutions of pro ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We present a computational study of exact algorithms for the Euclidean and rectilinear Steiner tree problems in the plane. These algorithms  which are based on the generation and concatenation of full Steiner trees  are much more efficient than other approaches and allow exact solutions
PseudoGilbert–Steiner Trees
, 1999
"... The Gilbert network problem is a generalization of the Steiner minimal tree problem derived by adding flowdependent weights to the edges. In this paper, we define a special class of minimum Gilbert networks, called pseudoGilbert–Steiner trees, and we show that it can be constructed by Gilbert’s g ..."
Abstract
 Add to MetaCart
The Gilbert network problem is a generalization of the Steiner minimal tree problem derived by adding flowdependent weights to the edges. In this paper, we define a special class of minimum Gilbert networks, called pseudoGilbert–Steiner trees, and we show that it can be constructed by Gilbert’s
Results 1  10
of
1,258