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  • Faithful and thin non-polytopal maniplexes
    Leemans, Dimitri, 1972- ; Toledo, Micael, matematik
    Maniplexes are coloured graphs that generalise maps on surfaces and abstract polytopes. Each maniplex uniquely defines a partially ordered set that encodes information about its structure. When this ... poset is an abstract polytope, we say that the associated maniplex is polytopal. Maniplexes that have two properties, called faithfulness and thinness, are completely determined by their associated poset, which is often an abstract polytope. We show that all faithful thin maniplexes of rank three are polytopal. So far only one example, of rank four, of a thin maniplex that is not polytopal was known. We construct the first infinite family of maniplexes that are faithful and thin but are non-polytopal for all ranks greater than three.
    Vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 25, no. 1, [article no.] P1.04, 2025, 17 str.)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2025
    Jezik - angleški
    COBISS.SI-ID - 226080515

    Povezava(-e):

    https://amc-journal.eu/index.php/amc/article/view/3128
    DOI

vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 25, no. 1, [article no.] P1.04, 2025, 17 str.)
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