Tetravalent non-normal Cayley graphs of order 5p^2
| Main Authors: | Khazaei, Soghra, Sharifi, Hesam; Department of Mathematics, Faculty of Science, Shahed University, Tehran, Iran. |
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| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB
, 2024
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| Subjects: | |
| Online Access: |
https://www.ejgta.org/index.php/ejgta/article/view/1802 https://www.ejgta.org/index.php/ejgta/article/view/1802/pdf_296 https://www.ejgta.org/index.php/ejgta/article/downloadSuppFile/1802/352 |
Daftar Isi:
- In this paper, we explore connected Cayley graphs on non-abelian groups of order 5p2, where p is a prime greater than 5, and Sylow p-subgroup is cyclic with respect to tetravalent sets that encompass elements with different orders. We prove that these graphs are normal; however, they are not normal edge-transitive, arc-transitive, nor half-transitive. Additionally, we establish that the group is a 5-CI-group.