Title: A class of orthogonal latin-square graphs

Abstract: An orthogonal latin-square graph is a graph whose vertices are latin  
squares of the same order, adjacency being synonymous with  
orthogonality. We are interested in orthogonal latin square graphs in  
which each square is orthogonal to the Cayley table M of a group G and  
is obtained from M by permuting columns. These permutations, regarded  
as permutations of G, are orthomorphisms of G and the graphs so  
obtained are orthomorphism graphs.

We will discuss results and problems in the study of orthomorphism  
graphs.