An Existence Theorem for Room Squares*
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 493-497
Voir la notice de l'article provenant de la source Cambridge University Press
It is shown that if v is an odd prime power, other than a prime of the form 22n + 1, then there exists a Room square of order v + 1.A room square of order 2n, where n is a positive integer, is an arrangement of 2n objects in a square array of 2 side 2n - 1, such that each of the (2n - 1)2 cells of the array is either-empty or contains exactly two distinct objects; each of the 2n objects appears exactly once in each row and column; and each (unordered) pair of objects occurs in exactly one cell.
Mullin, R. C.; Nemeth, E. An Existence Theorem for Room Squares*. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 493-497. doi: 10.4153/CMB-1969-063-6
@article{10_4153_CMB_1969_063_6,
author = {Mullin, R. C. and Nemeth, E.},
title = {An {Existence} {Theorem} for {Room} {Squares*}},
journal = {Canadian mathematical bulletin},
pages = {493--497},
year = {1969},
volume = {12},
number = {4},
doi = {10.4153/CMB-1969-063-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-063-6/}
}
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[4] 4. Stanton, R. G., A multiplication theorem for Room squares, (to appear) Google Scholar
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