Geodesic
Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 4, pp. 437-457.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We review results for the embedding of orthogonal partial Latin squares in orthogonal Latin squares, comparing and contrasting these with results for embedding partial Latin squares in Latin squares. We also present a new construction that uses the existence of a set of $t$ mutually orthogonal Latin squares of order $n$ to construct a set of $2t$ mutually orthogonal Latin squares of order $n^t$.
DOI : 10.14712/1213-7243.2021.003
Classification : 05B15
Keywords: embedding; mutually orthogonal Latin square 
@article{10_14712_1213_7243_2021_003,
     author = {Donovan, Diane M. and Grannell, Mike and Yaz{\i}c{\i}, Emine \c{S}.},
     title = {Constructing and embedding mutually orthogonal {Latin} squares: reviewing both new and existing results},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {437--457},
     publisher = {mathdoc},
     volume = {61},
     number = {4},
     year = {2020},
     doi = {10.14712/1213-7243.2021.003},
     mrnumber = {4230952},
     zbl = {07332721},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.003/}
}
TY  - JOUR
AU  - Donovan, Diane M.
AU  - Grannell, Mike
AU  - Yazıcı, Emine Ş.
TI  - Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2020
SP  - 437
EP  - 457
VL  - 61
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.003/
DO  - 10.14712/1213-7243.2021.003
LA  - en
ID  - 10_14712_1213_7243_2021_003
ER  - 
%0 Journal Article
%A Donovan, Diane M.
%A Grannell, Mike
%A Yazıcı, Emine Ş.
%T Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results
%J Commentationes Mathematicae Universitatis Carolinae
%D 2020
%P 437-457
%V 61
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.003/
%R 10.14712/1213-7243.2021.003
%G en
%F 10_14712_1213_7243_2021_003
Donovan, Diane M.; Grannell, Mike; Yazıcı, Emine Ş. Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 4, pp. 437-457. doi : 10.14712/1213-7243.2021.003. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.003/

Cité par Sources :