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  • An existence result on two-orbit maniplexes
    Pellicer, Daniel ; Potočnik, Primož, 1971- ; Toledo, Micael, matematik
    A maniplex of rank ▫$n$▫ is a connected, ▫$n$▫-valent, edge-coloured graph that generalises abstract polytopes and maps. If the automorphism group of a maniplex ▫$\mathcal{M}$▫ partitions the ... vertex-set of ▫$\mathcal{M}$▫ into ▫$k$▫ distinct orbits, we say that ▫$\mathcal{M}$▫ is a ▫$k$▫-orbit ▫$n$▫-maniplex. The symmetry type graph of ▫$\mathcal{M}$▫ is the quotient pregraph obtained by contracting every orbit into a single vertex. Symmetry type graphs of maniplexes satisfy a series of very specific properties. The question arises whether any pregraph of order ▫$k$▫ satisfying these properties is the symmetry type graph of some ▫$k$▫-orbit maniplex. We answer the question when ▫$k = 2$▫.
    Vir: Journal of combinatorial theory. Series A. - ISSN 0097-3165 (Vol. 166, Aug. 2019, str. 226-253)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2019
    Jezik - angleški
    COBISS.SI-ID - 18761305

    Povezava(-e):

    https://doi.org/10.1016/j.jcta.2019.02.014
    DOI

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