A construction for biembeddings of Latin squares
The electronic journal of combinatorics, Tome 18 (2011) no. 1
An existing construction for face 2-colourable triangular embeddings of complete regular tripartite graphs is extended and then re-examined from the viewpoint of the underlying Latin squares. We prove that this generalization gives embeddings which are not isomorphic to any of those produced by the original construction.
DOI :
10.37236/677
Classification :
05B15, 05C10
Mots-clés : triangulation, embedding, tripartite graph, Latin square
Mots-clés : triangulation, embedding, tripartite graph, Latin square
@article{10_37236_677,
author = {M. J. Grannell and M. Knor},
title = {A construction for biembeddings of {Latin} squares},
journal = {The electronic journal of combinatorics},
year = {2011},
volume = {18},
number = {1},
doi = {10.37236/677},
zbl = {1232.05035},
url = {http://geodesic.mathdoc.fr/articles/10.37236/677/}
}
M. J. Grannell; M. Knor. A construction for biembeddings of Latin squares. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/677
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