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THE EXISTENCE OF N2 RESOLVABLE LATIN SQUARES.

Authors :
Wolfe, A. J.
Ling, A. C. H.
Dinitz, J. H.
Source :
SIAM Journal on Discrete Mathematics. 2009, Vol. 23 Issue 3, p1217-1237. 21p.
Publication Year :
2009

Abstract

An N2 resolvable Latin square is a Latin square with no 2 × 2 subsquares that also has an orthogonal mate. In this paper we show that N2 resolvable Latin squares exist for all orders n with n ≠ 2, 4, 6, 8. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MAGIC squares
*STEINER systems
*GROUP theory
*MATRICES (Mathematics)
*ORTHOGONAL arrays
*INFINITE element method

Details

Language :
English
ISSN :
08954801
Volume :
23
Issue :
3
Database :
Academic Search Index
Journal :
SIAM Journal on Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
51706857
Full Text :
https://doi.org/10.1137/080731013
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