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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Sharifi, Hesam
Department of Mathematics, Faculty of Science, Shahed University, Tehran, Iran.
Electrical & Electronics Engineering

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Tetravalent non-normal Cayley graphs of order 5p^2 Khazaei, Soghra; Sharifi, Hesam
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 12, No 1 (2024): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2024.12.1.8

Abstract

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.
Co-Authors Khazaei, Soghra