31
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Some upper bounds for permanents of (0, 1)-matrices

Pages 169-175 | Received 01 Jun 2005, Published online: 28 May 2013

References

  • R. B. Bapat Permanent in probability and statistics Linear Algebra Appl 1990 127 3 25
  • E. Bax J. Franklin A permanent formula with many zero-valued terms Infor. Proc. Lett 1997 63 33 39
  • L. M. Bregman Certain properties of nonnegative matrices and their permanents Dokl. Akad. Nauk. SSSR 1973 211 27 30
  • W. K. Chen Applied Graph Theory North-Holland Publishing Company New York 1976
  • J. Donald H. Elwin R. Hager P. Salamon A graph theoretic upper bound on the permanent of a nonnegative integer matrix I Linear Algebra Appl 61 1984 187 198
  • U. Feige L. Garsten On the hardness of computing the permanent of random matrices Comput. Complexity 6 1997 101 132
  • S. G. Hwang Maximum permanents on certain classes of nonnegative matrices Linear Algebra Appl 132 1990 103 113
  • S. G. Hwang A. R. Kruter T. S. Michael An upper bound of the permanent of a nonnegative matrix Linear Algebra Appl 281 1998 259 263
  • H. Jr. Marshall Combinatorial Theory John Wiley and Sons New York 1986
  • H. Minc Upper bounds for permanents of 01 -matrices Bull. Amer. Math. Soc 69 1963 789 791
  • H. J. Ryser Combinatorial Mathematics, John Wiley & Sons, Inc 1963
  • S. Saluja A note on the permanent value problem Infor. Proc. Lett 43 1992 1 5
  • P. Spirakis J. Diaz M. J. Serna On the random generation and counting of matching in dense graphs Theoret. Comput. Sci 201 1998 281 290
  • L. Thomas Algebraic Complexity Theory, Springer-Verglas, Berlin 1997
  • L. G. Valiant The complexity of computing the permanent Theoret. Comput Sci 8 1979 189 201
  • J. H. van Lint R. M. Wilson A Course in Combinatorics Cambridge University Press Cambridge 1992

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.