3. Consider the model from Chapter 19 for the diusion of a new behavior through a social network. Recall that for this we have a network, a behavior B that everyne starts with, and a threshold q for switching to a new behavior A that is, an}.r node will switch to A if at least a q Erection of its neighbors have adopted A. Consider the network depicted in Figure 19.29; suppose that each node starts with the behavior B, and each node has a threshold of q = g} for switching to behavior A. Now, let e and f form a two-node set S of initial adopters of behavior A. If other nodes follow the threshold rule for choosing behaviors, which nodes will eventually switch to A\"? (b) Find a cluster of density 1 q = 5:: in in the part of the graph outside 3 that blocks behavior A from spreading to all nodes, starting from S, at threshold 1;. ((1) Suppose you're allowed to add one node to the set S of initial adopters, which currently,r consists of e and f. Can you do this in such a way that the new 3-node set causes a cascade at threshold q = g