On biembedding an idempotent Latin square with its transpose
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Abstract
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.
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Donovan, D., Griggs, T., & Psomas, C.
(2017).
On biembedding an idempotent Latin square with its transpose.
Acta Mathematica Universitatis Comenianae, 82(1), 11-20.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/726/481
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