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Permanents of (0, 1)-Matrices Having at Most Two Zeros Per Line

Published online by Cambridge University Press:  20 November 2018

J. R. Henderson
J. R. Henderson*
Affiliation:
California State University, Northridge, Northridge, California 91324, U.S.A.
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Let Un denote the nth ménage number. Within the class of order n matrices of zeros and ones with at most two zeros in every row and column the minimum permanent is Un when n is even and–1+Un when n is odd.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 353 - 358
Copyright
Copyright © Canadian Mathematical Society 1975

References

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3. Ryser, H. J., Combinatorial mathematics, Wiley, New York, 1963.Google Scholar
4. Touchard, J., Sur un problème de permutations, C. R. Acad. Sci., Paris, 198 (1934), 631-633.Google Scholar