According to definition 3.59 a \\(\mathcal{C}\\)-instance functor from \\(\mathcal{C}\\) to **Set**. **Gr** is the free category on the graph with two vertices and two (parallel) arrows between them. Following the example in Seven Sketches, the **Gr**-instance corresponding to the graph above is \\[\begin{matrix}\begin{array}{c|cc}\mathrm{Arrow}&\mathrm{Source}&\mathrm{Target}\\\\\hline \mathrm{Mngr}&\mathrm{Employee}&\mathrm{Employee}\\\\\mathrm{WorksIn}&\mathrm{Employee}&\mathrm{Department}\\\\\mathrm{Secr}&\mathrm{Department}&\mathrm{Employee}\\\\\mathrm{FName}&\mathrm{Employee}&\mathrm{string}\\\\\mathrm{DName}&\mathrm{Department}&\mathrm{string}\end{array}&\begin{array}{c|}\mathrm{Vertex}\\\\\hline \mathrm{Employee}\\\\\mathrm{Department}\\\\\mathrm{string}\end{array}\end{matrix}\\].