✦ LIBER ✦
Biembedding Abelian groups with mates having transversals
✍ Scribed by M. J. Grannell; M. Knor
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 157 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A certain recursive construction for biembeddings of Latin squares has played a substantial role in generating large numbers of nonisomorphic triangular embeddings of complete graphs. In this article, we prove that, except for the groups and C~4~, each Latin square formed from the Cayley table of an Abelian group appears in a biembedding in which the second Latin square has a transversal. Such biembeddings may then be freely used as ingredients in the recursive construction. Copyright © 2011 Wiley Periodicals, Inc. J Combin Designs 20:81‐88, 2012