| Title: | The core of a vertex-transitive complementary prism |
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| Authors: | ID Orel, Marko (Author) |
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| Files: |  AMC_Orel_i2023.pdf (305,54 KB)
MD5: 6D500060901BEAC97146F313A04B7FD3
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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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 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/RUP-19871-ab53a32e-6521-b325-c5ce-2734cf6aed10  |
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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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| Publication date in RUP: | 06.11.2023 |
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| Views: | 2048 |
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| Downloads: | 8 |
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