| Title: | Basic tetravalent oriented graphs of independent-cycle type |
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| Authors: | ID Poznanović, Nemanja (Author)
ID Praeger, Cheryl E. (Author) |
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| Files: |  AMC_Poznanovic,Praeger_2025.pdf (398,19 KB)
MD5: 2AF081005AB8B23F2EC95C8FCF998405
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| Language: | English |
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| Work type: | Article |
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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 family OG(4) consisting of graph-group pairs (Γ, G), where Γ is a finite, connected, 4-valent graph admitting a G-vertex-, and G-edge-transitive, but not G-arc-transitive action, has recently been examined using a normal quotient methodology. A subfamily of OG(4) has been identified as ‘basic’, due to the fact that all members of OG(4) are normal covers of at least one basic pair. We provide an explicit classification of those basic pairs (Γ, G) which have at least two independent cyclic G-normal quotients (these are G-normal quotients which are not extendable to a common cyclic normal quotient). |
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| Keywords: | half-arc-transitive, vertex-transitive graph, edge-transitive graph, normal cover, cycle graph |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 17.02.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 18 str. |
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| Numbering: | Vol. 25, no. 1, [article no.] P1.08 |
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| PID: | 20.500.12556/RUP-21974  |
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| UDC: | 519.17 |
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| eISSN: | 1855-3974 |
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| DOI: | https://doi.org/10.26493/1855-3974.3230.d18 |
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| Publication date in RUP: | 21.10.2025 |
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| Views: | 227 |
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| Downloads: | 1 |
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