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The core of a vertex-transitive complementary prismOrel, Marko, matematik, 1980-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.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 23, no. 4, 2023, art. P4.07 (9 str.))Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 145670915
Author | Orel, Marko, matematik, 1980- |
Title | The core of a vertex-transitive complementary prism |
Publication date | 2023-05-12 |
COBISS.SI-ID | 145670915 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
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Algebra, diskretna matematika, verjetnostni račun in teorija iger | P1-0285-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Določeni kombinatorični objekti v spektralni domeni - križiščna analiza | J1-4084-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Gladki izogeometrični prostori zlepkov nad večdelnimi domenami | N1-0296-2023 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Orel, Marko, matematik, 1980- | 25610 |
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