Call for Paper - July 2023 Edition
IJCA solicits original research papers for the July 2023 Edition. Last date of manuscript submission is June 20, 2023. Read More

A New Bit Wise Technique for 3-Partitioning Algorithm

IJCA Special Issue on Optimization and On-chip Communication
© 2012 by IJCA Journal
ooc - Number 1
Year of Publication: 2012
Rajkumar Jain
Narendra S. Chaudhari

Rajkumar Jain and Narendra S Chaudhari. Article: A New Bit Wise Technique for 3-Partitioning Algorithm. IJCA Special Issue on Optimization and On-chip Communication ooc(1):1-5, February 2012. Full text available. BibTeX

	author = {Rajkumar Jain and Narendra S. Chaudhari},
	title = {Article: A New Bit Wise Technique for 3-Partitioning Algorithm},
	journal = {IJCA Special Issue on Optimization and On-chip Communication},
	year = {2012},
	volume = {ooc},
	number = {1},
	pages = {1-5},
	month = {February},
	note = {Full text available}


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


  • 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.
  • Hayes Brian, “The Easiest Hard Problem”, American Scientist, May-June 2002.
  • 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
  • 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
  • Y. G. Saab, “An Effective Multilevel Algorithm for Bisecting Graphs and Hypergraphs”,IEEE Transaction , June 2004, pp. 641-652
  • M. Dell’Amico, S. Martello, “Reduction of 3-Partition Problem”, Journal of Combinatorial Optimization, 1999, Vol. 3, No. 1, 17-30
  • R.L. Graham, D.E. Knuth, Oren Patashnik, “Concrete Mathematics-A Foundation for Computer Science”, 2nd Edition, Pearson Education
  • J.H. Van-Lint, R.M. Wilson, “A course in Combinatorics” 2nd Edition, Cambridge University Press, 2001 pp- 119-128
  • M. Karp, “Reducibility Among Combinatorial Problems” In R.E. Miller and J.W. Thatcher, eds., Complexity of Computer Computations, 1972, pp. 85-103.