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  • On Haar digraphical representations of groups
    Du, Jia-Li ; Feng, Yan-Quan ; Spiga, Pablo
    In this paper we extend the notion of digraphical regular representations in the context of Haar digraphs. Given a group ▫$G$▫, a Haar digraph ▫$\Gamma$▫ over ▫$G$▫ is a bipartite digraph having a ... bipartition ▫$\{X,Y\}$▫ such that ▫$G$▫ is a group of automorphisms of ▫$\Gamma$▫ acting regularly on ▫$X$▫ and on ▫$Y$▫. We say that ▫$G$▫ admits a Haar digraphical representation (HDR for short), if there exists a Haar digraph over ▫$G$▫ such that its automorphism group is isomorphic to ▫$G$▫. In this paper, we classify finite groups admitting a HDR.
    Vir: Discrete mathematics. - ISSN 0012-365X (Vol. 343, iss. 10, Oct. 2020, art. 112032 (6 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 28304131

    Povezava(-e):

    https://doi.org/10.1016/j.disc.2020.112032
    DOI

vir: Discrete mathematics. - ISSN 0012-365X (Vol. 343, iss. 10, Oct. 2020, art. 112032 (6 str.))

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