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A note on Johnson, Minkoff and Phillips' algorithm for the Prize-Collecting Steiner Tree Problem
- Publication Year :
- 2010
-
Abstract
- The primal-dual scheme has been used to provide approximation algorithms for many problems. Goemans and Williamson gave a (2-1/(n-1))-approximation for the Prize-Collecting Steiner Tree Problem that runs in O(n^3 log n) time. it applies the primal-dual scheme once for each of the n vertices of the graph. Johnson, Minkoff and Phillips proposed a faster implementation of Goemans and Williamson's algorithm. We give a proof that the approximation ratio of this implementation is exactly 2.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1004.1437
- Document Type :
- Working Paper