| Title: | Classification of pentavalent symmetric tricirculants |
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| Authors: | ID Khaefi, Yasamin (Author)
ID Kutnar, Klavdija (Author)
ID Marušič, Dragan (Author) |
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| Files: |  RAZ_Khaefi_Yasamin_2026.pdf (425,21 KB)
MD5: FAC3334B4B4B959A32CB2B61E5A816A5
 https://amc-journal.eu/index.php/amc/article/view/3588
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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: | UPR - University of Primorska
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| Abstract: | A graph $\Gamma$ is said to be an {\em $m$-Cayley graph} on a group $G$ ($|G|\ne 1$) if its automorphism group contains a semiregular subgroup isomorphic to $G$ having $m$ orbits on the vertex set of $\Gamma$. If $G$ is cyclic and $m=3$ then $\Gamma$ is called a {\em tricirculant}. A graph is said to be {\em symmetric} if its automorphism group acts transitively on the set of its arcs. In this paper, it is shown that with the exception of $K_6$, no connected pentavalent symmetric tricirculant exists. |
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| Keywords: | pentavalent graph, symmetric, semiregular automorphism, tricirculant |
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| Publication version: | Author Accepted Manuscript |
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| Publication date: | 19.06.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | str. 1-20 |
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| Numbering: | Vol. , no. |
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| PID: | 20.500.12556/RUP-23172  |
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| UDC: | 519.17 |
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| ISSN on article: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.3588.9fb |
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| COBISS.SI-ID: | 282366467 |
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| Publication date in RUP: | 22.06.2026 |
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| Views: | 37 |
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| Downloads: | 2 |
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