Algorithmica

, Volume 45, Issue 3, pp 269–284

Scalable Parallel Algorithms for FPT Problems

Article

DOI: 10.1007/s00453-006-1214-1

Cite this article as:
Abu-Khzam, F., Langston, M., Shanbhag, P. et al. Algorithmica (2006) 45: 269. doi:10.1007/s00453-006-1214-1

Abstract

Algorithmic methods based on the theory of fixed-parameter tractability are combined with powerful computational platforms to launch systematic attacks on combinatorial problems of significance. As a case study, optimal solutions to very large instances of the NP-hard vertex cover problem are computed. To accomplish this, an efficient sequential algorithm and various forms of parallel algorithms are devised, implemented, and compared. The importance of maintaining a balanced decomposition of the search space is shown to be critical to achieving scalability. Target problems need only be amenable to reduction and decomposition. Applications in high throughput computational biology are also discussed.

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Division of Computer Science and Mathematics, Lebanese American University, BeirutLebanon
  2. 2.Department of Computer Science, University of Tennessee, Knoxville, TN 37996-3450USA