Item 4.7.5.a.

Yes, the graphs are isomorphic, which you can see by drawing them. One isomorphism is:

\begin{equation*} f = \begin{pmatrix} a \amp b \amp c \amp d \amp e \amp f \amp g \\ u \amp z \amp v \amp x \amp w \amp y \amp t \end{pmatrix}\text{.} \end{equation*}
in-context