| Naslov: | The core of a vertex-transitive complementary prism |
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| Avtorji: | ID Orel, Marko (Avtor) |
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| Datoteke: |  AMC_Orel_i2023.pdf (305,54 KB)
MD5: 6D500060901BEAC97146F313A04B7FD3
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Neznano |
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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: | The complementary prism ▫$\Gamma \overline{\Gamma}$▫ is obtained from the union of a graph ▫$\Gamma$▫ and its complement ▫$\overline{\Gamma}$▫ where each pair of identical vertices in ▫$\Gamma$▫ and ▫$\overline{\Gamma}$▫ is joined by an edge. It generalizes the Petersen graph, which is the complementary prism of the pentagon. The core of a vertex-transitive complementary prism is studied. In particular, it is shown that a vertex-transitive complementary prism ▫$\Gamma \overline{\Gamma}$▫ is a core, i.e. all its endomorphisms are automorphisms, whenever ▫$\Gamma$▫ is a core or its core is a complete graph. |
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| Ključne besede: | graph homomorphism, complementary prism, self-complementary graph, vertex-transitive graph, core |
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| Datum objave: | 01.01.2023 |
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| Leto izida: | 2023 |
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| Št. strani: | art. P4.07 (9 str.) |
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| Številčenje: | Vol. 23, no. 4 |
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| PID: | 20.500.12556/RUP-19871-ab53a32e-6521-b325-c5ce-2734cf6aed10  |
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| UDK: | 519.17 |
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| ISSN pri članku: | 1855-3966 |
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| DOI: | 10.26493/1855-3974.3072.3ec |
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| COBISS.SI-ID: | 145670915 |
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| Datum objave v RUP: | 06.11.2023 |
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| Število ogledov: | 780 |
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| Število prenosov: | 5 |
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| Metapodatki: |     |
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