Artículo
A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five
Autor/es | Falcón Ganfornina, Raúl Manuel
Johnson, Laura Perkins, Stephanie |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2020 |
Fecha de depósito | 2020-11-03 |
Publicado en |
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Resumen | This paper delves into the study of critical sets of Latin squares having a given isotopism
in their autotopism group. Particularly, we prove that the sizes of these critical sets only depend on
both the main class of ... This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. Particularly, we prove that the sizes of these critical sets only depend on both the main class of the Latin square and the cycle structure of the isotopism under consideration. Keeping then in mind that the autotopism group of a Latin square acts faithfully on the set of entries of the latter, we enumerate all the critical sets based on autotopisms of Latin squares of order up to five. |
Agencias financiadoras | Junta de Andalucía |
Identificador del proyecto | FQM-016 |
Cita | Falcón Ganfornina, R.M., Johnson, L. y Perkins, S. (2020). A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five. AIMS Mathematics, 6 (1), 261-295. |
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