Title
Existence of 2 SOLS and 2 ISOLS
Abstract
In this paper, we investigate the existence of two self-orthogonal Latin squares of order v (2-SOLS(v)). It is found that 2-SOLS(v) exist for all v=7 except possibly for v@?{10,12,14,18,21,22,24,30,34}. A number of sets of 2 incomplete SOLS (2 ISOLS) (and hence also 4 incomplete mutually orthogonal Latin squares, briefly 4 IMOLS) are also given.
Year
DOI
Venue
2012
10.1016/j.disc.2011.10.010
Discrete Mathematics
Keywords
Field
DocType
incomplete latin square,self-orthogonal latin square,transversal design
Discrete mathematics,Combinatorics,Latin square,Graeco-Latin square,Transversal design,Mathematics
Journal
Volume
Issue
ISSN
312
5
0012-365X
Citations 
PageRank 
References 
2
0.39
3
Authors
2
Name
Order
Citations
PageRank
R. Julian R. Abel110410.94
Frank E. Bennett24111.26