Skip to main content
Log in

On a combinatorial problem related to permanents

  • Part I Educational Papers
  • Published:
BIT Numerical Mathematics Aims and scope Submit manuscript

Abstract

Some numerical results will be presented concerning the largest and smallest values of square permanents containing the integers 1, 2, 3, ...,n 2 n=1(1)8.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. L. Cauchy, Ingénieur des Ponts et Chaussées:Mémoire sur les fonctions qui ne peuvent obtenir que deux valeurs égales et de signes contraires par suit des transpositions opérées entre les variables qu'elles renferment; Journal de l'École Polytechnique, Cahier XVII (vol. X), 1815, 29–112. Lu à l'Institut le 30 Novembre 1812.

    Google Scholar 

  2. M. J. Binet, Mémoire Sur un Système de Formules analytiques, et leur application à des considérations géométriques; Journal de l'École Polytechnique, Cahier XVI (vol. IX), 1813, 280–354. Lu à l'Institut le 30 Novembre 1812.

    Google Scholar 

  3. H. Minc,Permanents, Enc. of Math. and its Appl., vol. 6, Addison-Wesley (1978).

  4. T. I. Fenner, and G. Loizou,Combinatorial aspects of rectangular non-negative matrices, Discrete Mathematics, Vol. 20, No. 3, December 1977, 217–234.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Peter Naur on the occasion of his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fröberg, CE. On a combinatorial problem related to permanents. BIT 28, 406–411 (1988). https://doi.org/10.1007/BF01941124

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01941124

AMS categories