Name
Abstract | ||
|---|---|---|
There are well-known necessary conditions for the existence of a generalized Bhaskar Rao design over a group G, with block size k=3. The recently proved Hall-Paige conjecture shows that these are sufficient when v=3 and @l=|G|. We prove these conditions are sufficient in general when v=3, and also when |G| is small, or when G is dicyclic. We summarize known results supporting the conjecture that these necessary conditions are always sufficient when k=3. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.disc.2008.12.003 | Discrete Mathematics |
Keywords | Field | DocType |
dicyclic group,group divisible design,generalized bhaskar rao design | Block size,Discrete mathematics,Combinatorics,Block design,Dicyclic group,Conjecture,Mathematics | Journal |
Volume | Issue | ISSN |
309 | 12 | Discrete Mathematics |
Citations | PageRank | References |
4 | 0.51 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| R. Julian R. Abel | 1 | 104 | 10.94 |
| Diana Combe | 2 | 19 | 3.25 |
| Georgina Price | 3 | 4 | 0.51 |
| William D. Palmer | 4 | 16 | 2.68 |