Name
Abstract | ||
|---|---|---|
We show that for any Latin square L of order 2m, we can partition the rows and columns of L into pairs so that at most (m+3)/2 of the 2x2 subarrays induced contain a repeated symbol. We conjecture that any Latin square of order 2m (where m=2, with exactly five transposition class exceptions of order 6) has such a partition so that every 2x2 subarray induced contains no repeated symbol. We verify this conjecture by computer when m=4. |
Year | Venue | Keywords |
|---|---|---|
2013 | ELECTRONIC JOURNAL OF COMBINATORICS | Latin square,2-partition,conjugate,isotopic,transposition class,k-partition,discrepancy,potential |
Field | DocType | Volume |
Row and column spaces,Discrete mathematics,Combinatorics,Symbol,Latin square,Partition (number theory),Conjecture,Mathematics | Journal | 20 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| R. Julian R. Abel | 1 | 104 | 10.94 |
| Nicholas J. Cavenagh | 2 | 92 | 20.89 |
| Jaromy Kuhl | 3 | 10 | 4.72 |