Abstract | ||
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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 |
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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. Abel | 1 | 104 | 10.94 |
Frank E. Bennett | 2 | 41 | 11.26 |