THIRD-REGULAR BI-EMBEDDINGS OF LATIN SQUARES
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 497-503
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For each positive integer n ≥ 2, there is a well-known regular orientable Hamiltonian embedding of Kn, n, and this generates a regular face 2-colourable triangular embedding of Kn, n, n. In the case n ≡ 0 (mod 8), and only in this case, there is a second regular orientable Hamiltonian embedding of Kn, n. This paper presents an analysis of the face 2-colourable triangular embedding of Kn, n, n that results from this. The corresponding Latin squares of side n are determined, together with the full automorphism group of the embedding.
DONOVAN, D. M.; GRANNELL, M. J.; GRIGGS, T. S. THIRD-REGULAR BI-EMBEDDINGS OF LATIN SQUARES. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 497-503. doi: 10.1017/S0017089510000376
@article{10_1017_S0017089510000376,
author = {DONOVAN, D. M. and GRANNELL, M. J. and GRIGGS, T. S.},
title = {THIRD-REGULAR {BI-EMBEDDINGS} {OF} {LATIN} {SQUARES}},
journal = {Glasgow mathematical journal},
pages = {497--503},
year = {2010},
volume = {52},
number = {3},
doi = {10.1017/S0017089510000376},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000376/}
}
TY - JOUR AU - DONOVAN, D. M. AU - GRANNELL, M. J. AU - GRIGGS, T. S. TI - THIRD-REGULAR BI-EMBEDDINGS OF LATIN SQUARES JO - Glasgow mathematical journal PY - 2010 SP - 497 EP - 503 VL - 52 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000376/ DO - 10.1017/S0017089510000376 ID - 10_1017_S0017089510000376 ER -
%0 Journal Article %A DONOVAN, D. M. %A GRANNELL, M. J. %A GRIGGS, T. S. %T THIRD-REGULAR BI-EMBEDDINGS OF LATIN SQUARES %J Glasgow mathematical journal %D 2010 %P 497-503 %V 52 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000376/ %R 10.1017/S0017089510000376 %F 10_1017_S0017089510000376
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