The core of a vertex-transitive complementary prism

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The core of a vertex-transitive complementary prism

Orel, 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, serious

Publish date - 2023

Language - english

COBISS.SI-ID - 145670915

Link(s):
https://amc-journal.eu/index.php/amc/article/view/3072
https://doi.org/10.26493/1855-3974.3072.3ec
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Author
Orel, Marko, matematik, 1980-

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	Project ID	Funder
Algebra, diskretna matematika, verjetnostni račun in teorija iger	P1-0285-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Geometrije, grafi, grupe in povezave med njimi	N1-0140-2020	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Avtomorfizmi in izomorfizmi končnih grafov	N1-0208-2021	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Uporaba grafov v problemih ohranjevalcev	N1-0210-2021	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Določeni kombinatorični objekti v spektralni domeni - križiščna analiza	J1-4084-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Gladki izogeometrični prostori zlepkov nad večdelnimi domenami	N1-0296-2023	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

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Link
https://amc-journal.eu/index.php/amc/article/view/3072
https://doi.org/10.26493/1855-3974.3072.3ec
https://dirros.openscience.si/IzpisGradiva.php?id=18636
https://repozitorij.upr.si/IzpisGradiva.php?id=19871

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source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 23, no. 4, 2023, art. P4.07 (9 str.))

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Orel, Marko, matematik, 1980-	25610

Source: Personal bibliographies and: SICRIS

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