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» On the Approximability of the Steiner Tree Problem
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STOC
2006
ACM
186views Algorithms» more  STOC 2006»
16 years 6 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein
192
Voted
ICPADS
2007
IEEE
16 years 11 days ago
Parallel Minimum Spanning Tree Heuristic for the steiner problem in graphs
Given an undirected graph with weights associated with its edges, the Steiner tree problem consists of finding a minimum weight subtree spanning a given subset of (terminal) nodes...
Hoda Akbari, Zeinab Iranmanesh, Mohammad Ghodsi
STACS
2009
Springer
16 years 25 days ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
STOC
2003
ACM
133views Algorithms» more  STOC 2003»
16 years 6 months ago
A fast algorithm for computing steiner edge connectivity
Given an undirected graph or an Eulerian directed graph G and a subset S of its vertices, we show how to determine the edge connectivity C of the vertices in S in time O(C3 n log ...
Richard Cole, Ramesh Hariharan
GECCO
2004
Springer
123views Optimization» more  GECCO 2004»
15 years 11 months 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