Name
Title | ||
|---|---|---|
Some constructions for t pairwise orthogonal diagonal Latin squares based on difference matrices. |
Abstract | ||
|---|---|---|
A diagonal Latin square is one whose main and back diagonals are both transversals. Difference matrices, quasi-difference matrices and holey quasi-difference matrices are used to construct t pairwise orthogonal diagonal Latin squares of order v ( t PODLS ( v ) ) in this paper. For t = 3 , 4 , 5 , known existence results for t PODLS ( v ) are then updated; for t = 3 , 4, and 5, there remain respectively 1, 11 and 32 unsolved cases, the largest of which are v = 10 , 54 and 98 respectively. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.disc.2014.11.018 | Discrete Mathematics |
Keywords | Field | DocType |
PODLS,DM,QDM,HQDM,HMOLS | Diagonal,Discrete mathematics,Pairwise comparison,Combinatorics,Matrix (mathematics),Latin square,Transversal (geometry),Mathematics,Main diagonal | Journal |
Volume | Issue | ISSN |
338 | 4 | 0012-365X |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| R. Julian R. Abel | 1 | 104 | 10.94 |
| Yang Li | 2 | 6 | 1.12 |