Abstract
Given a complete graph G=(V,E), where each vertex is labeled either terminal or Steiner, a distance function (i.e., a metric) d:E→R+, and a positive integer k, we study the problem of finding a Steiner tree T spanning all terminals and at most k Steiner vertices, such that the length of the longest edge is minimized. We first show that this problem is NP-hard and cannot be approximated within a factor of 2-ε, for any ε>0, unless P=NP. Then, we present a polynomial-time 2-approximation algorithm for this problem.
Original language | English |
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Pages (from-to) | 96-100 |
Number of pages | 5 |
Journal | Journal of Discrete Algorithms |
Volume | 30 |
DOIs | |
State | Published - 1 Jan 2015 |
Keywords
- Approximation algorithms
- Bottleneck Steiner tree
- NP-hardness
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics