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On biembeddings of Latin Squares
, 2009
"... A known construction for face 2colourable triangular embeddings of complete regular tripartite graphs is reexamined from the viewpoint of the underlying Latin squares. This facilitates biembeddings of a wide variety of Latin squares, including those formed from the Cayley tables of the elementary ..."
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Cited by 4 (3 self)
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A known construction for face 2colourable triangular embeddings of complete regular tripartite graphs is reexamined from the viewpoint of the underlying Latin squares. This facilitates biembeddings of a wide variety of Latin squares, including those formed from the Cayley tables of the elementary
A constraint on the biembedding of Latin squares
"... This is a preprint of an article accepted for publication in the European Journal of Combinatorics c©2008 (copyright owner as specified in the journal). We give a necessary condition for the biembedding of two Latin squares in an orientable surface. As a consequence, it is shown that for n ≥ 2, the ..."
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Cited by 3 (3 self)
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This is a preprint of an article accepted for publication in the European Journal of Combinatorics c©2008 (copyright owner as specified in the journal). We give a necessary condition for the biembedding of two Latin squares in an orientable surface. As a consequence, it is shown that for n ≥ 2
ON BIEMBEDDING AN IDEMPOTENT LATIN SQUARE WITH ITS TRANSPOSE
, 2013
"... 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 ..."
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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
1 Biembeddings of Latin squares of side 8
"... This is a preprint of an article accepted for publi ..."
Biembeddings of Latin squares obtained from a voltage construction
 AUSTRALASIAN JOURNAL OF COMBINATORICS VOLUME 51 (2011), PAGES 259–270
, 2011
"... We investigate a voltage construction for face 2colourable triangulations by Kn,n,n from the viewpoint of the underlying Latin squares. We prove that if the vertices are relabelled so that one of the Latin squares is exactly the Cayley table Cn of the group Zn, then the other square can be obtained ..."
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We investigate a voltage construction for face 2colourable triangulations by Kn,n,n from the viewpoint of the underlying Latin squares. We prove that if the vertices are relabelled so that one of the Latin squares is exactly the Cayley table Cn of the group Zn, then the other square can
Triangulations of orientable surfaces by complete tripartite graphs
, 2005
"... Orientable triangular embeddings of the complete tripartite graph Kn,n,n correspond to biembeddings of Latin squares. We show that if n is prime there are at least e n ln n−n(1+o(1)) nonisomorphic biembeddings of cyclic Latin squares of order n. If n = kp, where p is a large prime number, then the n ..."
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Cited by 7 (7 self)
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, then the number of nonisomorphic biembeddings of cyclic Latin squares of order n is at least e p ln p−p(1+ln k+o(1)). Moreover, we prove that for every n there is a unique regular triangular embedding of Kn,n,n in an orientable surface.
unknown title
, 2011
"... Corporate Governance determinants of voluntary disclosure and its effects on information asymmetry: an analysis for Iberian Peninsula listed companies. ..."
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Corporate Governance determinants of voluntary disclosure and its effects on information asymmetry: an analysis for Iberian Peninsula listed companies.