Combinatorial Matrices with Small Determinants
Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 756-762
Voir la notice de l'article provenant de la source Cambridge University Press
In this paper we will be concerned with the determinants of matrices whose elements are 0, 1 or —1, 1. Accordingly, let Sn,k be the set of n X n 0, 1 matrices with exactly k ones in each row and column; and let Hn be the set of n X n — 1, 1 matrices. Let J = Jn denote (as usual) the n X n matrix all of whose elements are one.
Newman, Morris. Combinatorial Matrices with Small Determinants. Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 756-762. doi: 10.4153/CJM-1978-065-8
@article{10_4153_CJM_1978_065_8,
author = {Newman, Morris},
title = {Combinatorial {Matrices} with {Small} {Determinants}},
journal = {Canadian journal of mathematics},
pages = {756--762},
year = {1978},
volume = {30},
number = {4},
doi = {10.4153/CJM-1978-065-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-065-8/}
}
[1] 1. Ryser, H. J., Maximal determinants in combinatorial investigations, Can. J. Math. 8 (1956), 245–249. Google Scholar
Cité par Sources :