Abstract
There is a regular graph with 12 vertices and valency 6 which has three mutually orthogonal 1-factorizations. Any pair of these can be interpreted as a Howell design or semi-Latin square. The automorphism group of the graph is A_5 \times Z_2: it preserves the above three 1-factorizations as a set, interchanging two of them. This can be interpreted as a semi-Latin square isomorphic to its transpose with a unique Latin square orthogonal to it.
| Original language | English |
|---|---|
| Pages (from-to) | 65-71 |
| Number of pages | 7 |
| Journal | Discrete Mathematics |
| Volume | 167/168 |
| Publication status | Published - 1997 |