𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An approximation algorithm for a bottleneck k-Steiner tree problem in the Euclidean plane

✍ Scribed by Lusheng Wang; Zimao Li

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
95 KB
Volume
81
Category
Article
ISSN
0020-0190

No coin nor oath required. For personal study only.

✦ Synopsis

We study a bottleneck Steiner tree problem: given a set P = {p 1 , p 2 , . . . , p n } of n terminals in the Euclidean plane and a positive integer k, find a Steiner tree with at most k Steiner points such that the length of the longest edges in the tree is minimized. The problem has applications in the design of wireless communication networks. We give a ratio-1.866 approximation algorithm for the problem.

πŸ“œ SIMILAR VOLUMES

An approximation scheme for some Steiner
An approximation scheme for some Steiner tree problems in the plane
✍ Wang, Lusheng; Jiang, Tao πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 536 KB

We design a polynomial-time approximation scheme for the Steiner tree problem in the plane when the given set of regular points is c-local, i.e., in the minimum-cost spanning tree for the given set of regular points, the length of the longest edge is at most c times the length of the shortest edge.

A Polylogarithmic Approximation Algorith
A Polylogarithmic Approximation Algorithm for the Group Steiner Tree Problem
✍ Naveen Garg; Goran Konjevod; R. Ravi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 130 KB

The group Steiner tree problem is a generalization of the Steiner tree problem where we are given several subsets (groups) of vertices in a weighted graph, and the goal is to find a minimum-weight connected subgraph containing at least one vertex from each group.The problem was introduced by Reich a

A New Approximation Algorithm for the St
A New Approximation Algorithm for the Steiner Tree Problem with Performance Ratio 5/3
✍ Hans JΓΌrgen PrΓΆmel; Angelika Steger πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 100 KB

In this paper we present an RNC approximation algorithm for the Steiner tree problem in graphs with performance ratio 5r3 and RNC approximation algorithms for the Steiner tree problem in networks with performance ratio 5r3 q β‘€ for all β‘€ ) 0. This is achieved by considering a related problem, the min