Example 10.22 considered the initial assignment of nodes to two communities C = {w, x, y} and D =…

Example 10.22 considered the initial assignment of nodes to two communities C = {w, x, y} and D = {w, y, z}. Suppose we keep the number of communities fixed at 2, but allow incremental changes to the communities that add or delete a single node. What would be the final assignment of nodes to the communities C and D that maximizes the likelihood of seeing the graph of Fig. 10.20? What is that likelihood?