This case study is from the following paper:

This example has 5 different component types that have multiple ports including multiple 1-port component types. The base three-tuple is specified as:

$$\begin{align} C = \{ P, R, G, B, O \}, \quad R = [1, 2, 2, 1, 1 ]^T , \quad P = [1, 1, 2, 3, 4]^T \\ \end{align} $$

Some properties of this architecture design problem are:

$$\begin{align} N_p = 14, \quad N_c = 7, \quad 58.7 \leq \mathcal{G}_3 \leq 135135 \end{align} $$

These are the $260$ unique graphs for Case Study 2 in the paper with no additional network structure constraints.