- Turkish Journal of Mathematics
- Vol: 41 Issue: 5
- On tetravalent normal edge-transitive Cayley graphs on the modular group
On tetravalent normal edge-transitive Cayley graphs on the modular group
Authors : Hesam Sharifi, Mohammad Reza Darafsheh
Pages : 1308-1312
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :A Cayley graph $\Gamma=Cay(G, S)$ on a group $G$ with respective toa subset $S\subseteq G$, $S=S^{-1}, 1\notın S$, is said to be normaledge-transitive if $N_{\mathbb{A}ut(\Gamma)}(\rho(G))$ is transitiveon edges of $\Gamma$, where $\rho(G)$ is a subgroup of $\mathbb{A}ut(\Gamma)$isomorphic to $G$. We determine all connected tetravalent normaledge-transitive Cayley graphs on the modular group of order $8n$in the case that every element of $S$ is of order $4n$.Keywords : Cayley graph, edge-transitive, modular group