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Permanents of (0, 1)-Circulants

Published online by Cambridge University Press:  20 November 2018

Henryk Minc
Henryk Minc*
Affiliation:
University of Florida and University of California, Santa Barbara
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The permanent of an n-square matrix A = (aij) is defined by

where the summation extends over all permutations σ of the symmetric group Sn. A matrix is said to be a (0, 1)-matrix if each of its entries is either 0 or 1. A (0, 1)-matrix of n-1 the form , where θj = 0 or 1, j = 1,…, n, and Pn is the n-square permutation matrix with ones in the (1, 2), (2, 3),…, (n-1, n), (n, 1) positions, is called a (0, 1)-circulant. Denote the (0, 1)-circulant . It has been conjectured that

1

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 2 , June 1964 , pp. 253 - 263
Copyright
Copyright © Canadian Mathematical Society 1964

References

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