Article
Critical sets for a pair of mutually orthogonal cyclic latin squares of odd order greater than 9
Faculty of Informatics - Papers (Archive)
RIS ID
12898
Publication Date
1-6-2005
Abstract
To date investigations on critical sets for a set of mutually orthogonal latin squares (MOLS) have been carried out only for small orders less than or equal to 9. In this paper we deal with a pair of cyclic orthogonal latin squares of order n, n greater than or equal to 11, n odd. Through construction of a uniquely completable set we give an upper bound on the size of the minimal critical set. In particular for n = 15 a critical set achieving this bound is obtained.
Disciplines
Citation Information
R. SahaRay, Avishek Adhikari and Jennifer Seberry. "Critical sets for a pair of mutually orthogonal cyclic latin squares of odd order greater than 9" (2005) Available at: http://works.bepress.com/jseberry/10/
This article was originally published as SahaRay, R, Adhikari, A and Seberry, J, Critical sets for a pair of mutually orthogonal cyclic latin squares of odd order greater than 9, Journal of Combinatorial Mathematics and Combinatorial Computing, 55, 2005, 171-185.