On (+1,−1)-matrices with vanishing permanent
✍ Scribed by Rodica Simion; Frank W. Schmidt
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 68 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
if A is an n×n (+l,-1)-matrix and i![ n-=2"-1 for some positive integer rn, then per(A) -#-0. This answers partially a question raised by E.T.H. Wang
📜 SIMILAR VOLUMES
In this paper we investigate the values of permanents according to the positions of zeros over m × n matrices with k zeros. We determine the maximum and minimum values of the permanent function and find the matrices which attain these extreme values.
Starting from known results about the number of possible values for the permanents of (0, 1)-circulant matrices with three nonzero entries per row, and whose dimension n is prime, we prove corresponding results for n power of a prime, n product of two distinct primes, and n = 2 • 3 h . Supported by