A graph $\Ga$ is called $G$-basic if $G$ is quasiprimitive or bi-quasiprimitive on the vertex set of $\Ga$, where $G\leq\Aut\Ga$. In this paper, we complete the classification of $r$-valent arc-transitive basic graphs with order $4p$ or $4p^2$, where $p$ and $r$ are odd primes.
Symmetric graph, basic graph, arc-transitive graph
"Prime-valent arc-transitivebasic graphs with order $4p$ or $4p^2$,"
Turkish Journal of Mathematics: Vol. 42:
5, Article 14.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss5/14