on the cayley graphs of symmetric group $s_4$

Let $s_n$ be the symmetric group of degree $n$. in this paper, we classify non-isomorphic cayley graphs of $s_4$ of valency 3. moreover, we verify that there are exactly 10 non-isomorphic cayley graphs of $s_4$ with valency 3. also, we classify the valency 3 ci-graphs of cayley graphs of $s_4$ and we prove that $s_4$ is not a ci-group and does not possess the $3$-ci-property. we show that there are at least 10 non-isomorphic cayley graphs of the symmetric group $s_n$ with valency 3.