A Room Design of Order 10
Canadian mathematical bulletin, Tome 7 (1964) no. 3, pp. 377-378
Voir la notice de l'article provenant de la source Cambridge University Press
A Room design of order 2n, where n is a positive integer, is an arrangement of 2n objects in a square of side 2n - 1, so that each of the (2n - 1)2 cells of the array is either empty or contains just two distinct objects; each of the 2n objects occurs just once in each row and in each column; and each (unordered) pair of objects occurs in just one cell.
Weisner, Louis. A Room Design of Order 10. Canadian mathematical bulletin, Tome 7 (1964) no. 3, pp. 377-378. doi: 10.4153/CMB-1964-035-4
@article{10_4153_CMB_1964_035_4,
author = {Weisner, Louis},
title = {A {Room} {Design} of {Order} 10},
journal = {Canadian mathematical bulletin},
pages = {377--378},
year = {1964},
volume = {7},
number = {3},
doi = {10.4153/CMB-1964-035-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-035-4/}
}
[1] 1. Archbold, J. W., A Combinatorial Problem of T. G. Room, Mathematika 7, 50–55 (1960). Google Scholar
[2] 2. Archbold, J. W. and Johnson, N. L., A Construction for Room's Squares and an Application in Experimental Design, Annals of Mathematical Statistics 29, 219–225 (1959). Google Scholar
[3] 3. Bruck, R. H., What is a Loop? Studies in Modern Algebra, A. A. Albert (editor), Prentice-Hall (1963). Google Scholar
[4] 4. Room, T. G., A New Type of Magic Square, Mathematical Gazette 39, 307 (1955). Google Scholar
Cité par Sources :