J un 2 00 1 Statistical Mechanics of an NP-complete Problem : Subset Sum

@inproceedings{Sasamoto2001JU2,
  title={J un 2 00 1 Statistical Mechanics of an NP-complete Problem : Subset Sum},
  author={Tomohiro Sasamoto and Taro Toyoizumi and Hidetoshi Nishimori},
  year={2001}
}
We study statistical properties of an NP-complete problem, the subset sum, using the methods and concepts of statistical mechanics. The problem is a generalization of the number partitioning problem, which is also an NP-complete problem and has been studied in the physics literature. The asymptotic expressions for the number of solutions are obtained. These results applied to the number partitioning problem as a special case are compared with those which were previously obtained by a different… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
7 Extracted Citations
10 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 10 references

in Proceedings of IJCAI-99

  • I. P. Gent, T. Walsh
  • ed. W. Wahlster, John Wiley & Sons, New York
  • 1996
Highly Influential
8 Excerpts

Statistical Physics of Spin Glasses and Information Processing: An Introduction

  • H. Nishimori
  • Oxford University Press, Oxford
  • 2001
1 Excerpt

A: Math

  • F. F. Ferreira, J. F. Fontanari, J. Phys
  • Gen. 31
  • 1998

Phys

  • S. Mertens
  • Rev. Lett. 81
  • 1998

B

  • T. Hogg
  • A. Huberman and C. Williams (eds.), Frontiers in…
  • 1996
1 Excerpt

in Lectures in the Science of Complexity

  • Y. Fu
  • ed. D. L. Stein, Addison-Wesley, Massachusetts
  • 1989
1 Excerpt

Spin Glass Theory and Beyond

  • M. Mézard, G. Parisi, M. Virasoro
  • World Scientific, Singapore
  • 1987
1 Excerpt

J

  • M. Mézard, G. Parisi
  • Physique 47
  • 1986
1 Excerpt

Similar Papers

Loading similar papers…