| Naslov: | Faithful and thin non-polytopal maniplexes |
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| Avtorji: | ID Leemans, Dimitri (Avtor)
ID Toledo, Micael (Avtor) |
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| Datoteke: |  AMC_Leemans,Toledo_2025.pdf (632,07 KB)
MD5: 4C112558B0672F2988150C27F11FA6DE
 https://amc-journal.eu/index.php/amc/article/view/3128
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | ZUP - Založba Univerze na Primorskem
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| Opis: | 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. |
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| Ključne besede: | maniplex, polytope, faithful, thin, regular cover |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 12.02.2025 |
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| Založnik: | Založba Univerze na Primorskem |
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| Leto izida: | 2025 |
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| Št. strani: | 17 str. |
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| Številčenje: | Vol. 25, no. 1, [article no.] P1.04 |
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| PID: | 20.500.12556/RUP-21769  |
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| UDK: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.3128.b29 |
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| Datum objave v RUP: | 18.09.2025 |
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| Število ogledov: | 388 |
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| Število prenosov: | 3 |
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| Metapodatki: |    |
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