| Naslov: | The core of a vertex-transitive complementary prism |
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| Avtorji: | ID Orel, Marko (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (309,75 KB)
MD5: 183892779F82D7506F54ADCB757E0747
 URL - Izvorni URL, za dostop obiščite https://amc-journal.eu/index.php/amc/article/view/3072
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | 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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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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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/DiRROS-18636  |
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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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| Opomba: |
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| Datum objave v DiRROS: | 09.04.2024 |
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| Število ogledov: | 530 |
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| Število prenosov: | 177 |
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| Metapodatki: |    |
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