Geodesic
Another Remark on a Result of K. Goldberg
Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 7-9

Voir la notice de l'article provenant de la source Cambridge

DOI

In [3] K. Goldberg showed that if A is a 0-1 matrix that satisfies (1.1) then for some permutation matrix P, PAP* is a direct sum of matrices each of which is either zero or consists only of ones. More recently J. L. Brenner [1] proved that if A ∦ 0 (i.e. A has non-negative entries) and satisfies (1) then there exists a permutation matrix P such that PAP* = A1⊕ ... ⊕An in in which each Ai is either 0 or all positive, Ai > 0, and satisfies (1) as well. 
Marcus, Marvin. Another Remark on a Result of K. Goldberg. Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 7-9. doi: 10.4153/CMB-1963-002-6
@article{10_4153_CMB_1963_002_6,
     author = {Marcus, Marvin},
     title = {Another {Remark} on a {Result} of {K.} {Goldberg}},
     journal = {Canadian mathematical bulletin},
     pages = {7--9},
     year = {1963},
     volume = {6},
     number = {1},
     doi = {10.4153/CMB-1963-002-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-002-6/}
}
TY  - JOUR
AU  - Marcus, Marvin
TI  - Another Remark on a Result of K. Goldberg
JO  - Canadian mathematical bulletin
PY  - 1963
SP  - 7
EP  - 9
VL  - 6
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-002-6/
DO  - 10.4153/CMB-1963-002-6
ID  - 10_4153_CMB_1963_002_6
ER  - 
%0 Journal Article
%A Marcus, Marvin
%T Another Remark on a Result of K. Goldberg
%J Canadian mathematical bulletin
%D 1963
%P 7-9
%V 6
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-002-6/
%R 10.4153/CMB-1963-002-6
%F 10_4153_CMB_1963_002_6

Cité par Sources :