%0 Journal Article
%T On biembedding an idempotent Latin square with its transpose
%A D. M. Donovan
%A T. S. Griggs
%A C. Psomas
%J ACTA MATHEMATICA 
UNIVERSITATIS COMENIANAE
%D 2013
%I Acta Mathematica Universitatis Comenianae
%X Let L be an idempotent Latin square of side n, thought of as a set of ordered triples (i, j, k) where L(i, j) = k. Let I be the set of triples (i, i, i). We consider the problem of biembedding the triples of L - I with the triples of L' - I, where L' is the transpose of L, in an orientable surface. We construct such embeddings for all doubly even values of n.
%K Latin square
%K idempotent
%K SOLS
%K orientable surface
%K biembedding
%U http://pc2.iam.fmph.uniba.sk/amuc/_vol-82/_no_1/_griggs/griggs.pdf