Title: | The core of a vertex-transitive complementary prism |
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Authors: | ID Orel, Marko (Author) |
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: | 532 |
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Downloads: | 177 |
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