Abstract
A preliminary study on permanents of (1, − 1)-matrices is given. Some inequalities are derived and a few unsolved problems, believed to be new, are mentioned.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D. K. Faddeev and I. S. Sominskii,Problems in Higher Algebra (translated by J. L. Brenner), Freeman, San Francisco, 1965.
M. Marcus and H. Minc,A Survey of Matrix Theory and Matrix Inequalities, Prindle, Weber and Schmidt, Boston, 1969.
M. Marcus and H. Minc,Some results on doubly stochastic matrices, Proc. Amer. Math. Soc.13(1962), 571–579.
M. Marcus and H. Minc,Inequalities for general matrix functions, Bull. of Amer. Math. Soc.70 (1964), 308–313.
H. J. Ryser,Combinatorial Mathematics, Carus Monographs, 14, Wiley, New York, 1963.
W. D. Wallis, A. P. Street, J. S. Wallis,Combinatorics: Room Squares, Sum-Free sets, Hadamard matrices; Lecture Notes in Mathematics, Vol 292, Springer-Verlag, Berlin, Heidelberg, New York, 1972.
Author information
Authors and Affiliations
Additional information
Research supported by a University of Waterloo postdoctoral fellowship.
Rights and permissions
About this article
Cite this article
Wang, E.TH. On permanents of (1, − 1)-matrices. Israel J. Math. 18, 353–361 (1974). https://doi.org/10.1007/BF02760844
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02760844