| Title: | The core of a vertex-transitive complementary prism |
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| Authors: | ID Orel, Marko (Author) |
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| Files: |  PDF - Presentation file, download (309,75 KB)
MD5: 183892779F82D7506F54ADCB757E0747
 URL - Source URL, visit https://amc-journal.eu/index.php/amc/article/view/3072
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | 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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| Keywords: | graph homomorphism, complementary prism, self-complementary graph, vertex-transitive graph, core |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | art. P4.07 (9 str.) |
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| Numbering: | Vol. 23, no. 4 |
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| PID: | 20.500.12556/DiRROS-18636  |
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| UDC: | 519.17 |
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| ISSN on article: | 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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| Note: |
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| Publication date in DiRROS: | 09.04.2024 |
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| Views: | 64 |
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| Downloads: | 33 |
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| Metadata: |     |
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