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A New Bit Wise Technique for 3-Partitioning Algorithm

Published on February 2012 by Rajkumar Jain, Narendra S. Chaudhari
journal_cover_thumbnail

Optimization and On-chip Communication
Foundation of Computer Science USA
OOC - Number 1
February 2012
Authors: Rajkumar Jain, Narendra S. Chaudhari
fd99c095-084e-4ea9-9b4a-d2b0c3edf940

Rajkumar Jain, Narendra S. Chaudhari . A New Bit Wise Technique for 3-Partitioning Algorithm. Optimization and On-chip Communication. OOC, 1 (February 2012), 1-5.

@article{
author = { Rajkumar Jain, Narendra S. Chaudhari },
title = { A New Bit Wise Technique for 3-Partitioning Algorithm },
journal = { Optimization and On-chip Communication },
issue_date = { February 2012 },
volume = { OOC },
number = { 1 },
month = { February },
year = { 2012 },
issn = 0975-8887,
pages = { 1-5 },
numpages = 5,
url = { /specialissues/ooc/number1/5463-1001/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Special Issue Article
%1 Optimization and On-chip Communication
%A Rajkumar Jain
%A Narendra S. Chaudhari
%T A New Bit Wise Technique for 3-Partitioning Algorithm
%J Optimization and On-chip Communication
%@ 0975-8887
%V OOC
%N 1
%P 1-5
%D 2012
%I International Journal of Computer Applications
Abstract

From last five decades peoples are working on Partitioning problem. Partitioning is a fundamental problem with applications in several fields of study. The 3-partition problem is one of the most famous strongly NP-complete combinatorial problems in computer science [1]. Most of the existing partitioning algorithms are heuristics in nature

References
  1. M.R.Garey and D.S. Johnson, Computers and Intractability: A guide to the theory of NP-Completeness, W.H. Freeman and Co., New York, 1979.
  2. Hayes Brian, “The Easiest Hard Problem”, American Scientist, May-June 2002.
  3. Zuckerman, D, “NP-complete problems have a version that's hard to approximate”, Structure in Complexity Theory Conference, 1993., Proceedings of the Eighth Annual, IEEE, 1993 , pp 305 - 312
  4. C. Ding, H. Xiaofeng, Z. Hongyuan, G. Ming, and H. Simon, “A Min-Max Cut Algorithm for Graph Partitioning and Data Clustering,” Proc. IEEE International Conference Data Mining, pp. 107-114, 2001
  5. Y. G. Saab, “An Effective Multilevel Algorithm for Bisecting Graphs and Hypergraphs”,IEEE Transaction , June 2004, pp. 641-652
  6. M. Dell’Amico, S. Martello, “Reduction of 3-Partition Problem”, Journal of Combinatorial Optimization, 1999, Vol. 3, No. 1, 17-30
  7. R.L. Graham, D.E. Knuth, Oren Patashnik, “Concrete Mathematics-A Foundation for Computer Science”, 2nd Edition, Pearson Education
  8. J.H. Van-Lint, R.M. Wilson, “A course in Combinatorics” 2nd Edition, Cambridge University Press, 2001 pp- 119-128
  9. M. Karp, “Reducibility Among Combinatorial Problems” In R.E. Miller and J.W. Thatcher, eds., Complexity of Computer Computations, 1972, pp. 85-103.
Index Terms

Computer Science
Information Sciences

Keywords

3-BitPartition Rule of Belongingness Optimal Partitioning technique