In a communication channel, $\{ X_i \}_{i=1}^n$ are inputs and $\{ Y_i \}_{i=1}^n$ are the corresponding outputs.

We represent the dependency relations by a graph with $2n$ nodes (one for each $X_i$ and for each $Y_i$), where there is a directed edge whenever there is a dependency. See the examples in the figures below.

Figure 1

Figure 2

Figure 3

Call this graph the dependency graph of the channel.

My question is: Are there works in the literature where channel capacity or other quantities of the channel are studied in connection with the properties of its dependency graph?