Simple proof of a theorem on permanents
Glasgow mathematical journal, Tome 10 (1969) no. 1, pp. 52-54
Voir la notice de l'article provenant de la source Cambridge University Press
Let A = (aij) be an n × n complex matrix. The permanent of this matrix iswhere the sum is taken over all permutations p of the set {1, ..., n}.In a recent paper [1] E. H. Lieb proved an interesting theorem (see below) which he applied to verify some conjectures of M. Marcus and M. Newman. The purpose of this note is to give a simple proof of Lieb's theorem.
Djoković, D. Ž. Simple proof of a theorem on permanents. Glasgow mathematical journal, Tome 10 (1969) no. 1, pp. 52-54. doi: 10.1017/S0017089500000525
@article{10_1017_S0017089500000525,
author = {Djokovi\'c, D. \v{Z}.},
title = {Simple proof of a theorem on permanents},
journal = {Glasgow mathematical journal},
pages = {52--54},
year = {1969},
volume = {10},
number = {1},
doi = {10.1017/S0017089500000525},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000525/}
}
[1] 1.Lieb, E. H., Proofs of some conjectures on permanents, J. Mech. Math. 16 (1966), 127–134. Google Scholar
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