Title
Critical sets for a pair of mutually orthogonal cyclic latin squares of odd order greater than 9
Document Type
Journal Article
RIS ID
12898
Citation
SahaRay, Rita; Adhikari, Avishek; and Seberry, Jennifer R., 2005, 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, 171-185.
http://ro.uow.edu.au/era/2000
Abstract
To date investigations on critical sets for a set of mutually orthogonal latin squares (MOLS) have been carried out only for small orders n, n >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.
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