A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five

Raúl M. Falcón, Laura Johnson, Stephanie Perkins

    Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

    7 Wedi eu Llwytho i Lawr (Pure)

    Crynodeb

    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.
    Iaith wreiddiolSaesneg
    Tudalennau (o-i)261-295
    Nifer y tudalennau34
    CyfnodolynAIMS Mathematics
    Cyfrol6
    Rhif cyhoeddi1
    Dynodwyr Gwrthrych Digidol (DOIs)
    StatwsCyhoeddwyd - 10 Hyd 2020

    Ôl bys

    Gweld gwybodaeth am bynciau ymchwil 'A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.

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