FMF, Mathematical Library, Lj. (MAKLJ)
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The core of a vertex transitive complementary prism of a lexicographic product [Elektronski vir]Orel, Marko, matematik, 1980-The complementary prism of a graph ▫$\Gamma$▫ is the graph ▫$\Gamma \overline{\Gamma}$▫, which is formed from the union of ▫$\Gamma$▫ and its complement ▫$\overline{\Gamma}$▫ by adding an edge ... between each pair of identical vertices in ▫$\Gamma$▫ and ▫$\overline{\Gamma}$▫. Vertex-transitive self-complementary graphs provide vertex-transitive complementary prisms. It was recently proved by the author that ▫$\Gamma \overline{\Gamma}$▫ is a core, i.e. all its endomorphisms are automorphisms, whenever ▫$\Gamma$▫ is vertex-transitive, self-complementary, and either ▫$\Gamma$▫ is a core or its core is a complete graph. In this paper the same conclusion is obtained for some other classes of vertex-transitive self-complementary graphs that can be decomposed as a lexicographic product ▫$\Gamma = \Gamma_1 [\Gamma_2]$▫. In the process some new results aboutthe homomorphisms of a lexicographic product are obtained.Source: The art of discrete and applied mathematics [Elektronski vir]. - ISSN 2590-9770 (Vol. 6, iss. 3, 2023, str. 1-12)Type of material - e-article ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 145671427
Author
Orel, Marko, matematik, 1980-
Topics
graph homomorphism |
core |
complementary prism |
self-complementary graph |
vertex-transitive graph |
lexicographic product |
homomorfizmi grafov |
jedra |
komplementarne prizme |
sebikomplementarni grafi |
točkovno tranzitivni grafi |
leksikografski produkt
Author | Orel, Marko, matematik, 1980- |
Title | The core of a vertex transitive complementary prism of a lexicographic product [Elektronski vir] |
Publication date | 2023-08-16 |
COBISS.SI-ID | 145671427 |
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 |
---|---|---|---|
Algebra, diskretna matematika, verjetnostni račun in teorija iger | P1-0285-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Geometrije, grafi, grupe in povezave med njimi | N1-0140-2020 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Avtomorfizmi in izomorfizmi končnih grafov | N1-0208-2021 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Uporaba grafov v problemih ohranjevalcev | N1-0210-2021 |
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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