1 Networks in Their Surrounding Contexts 1.1 Textbook Page 116, Chapter 4, 4.6 Exercise, Question 1 Consider the social network represented in Figure 1.1. Suppose that this social network was obtained by observing a group of people at a particular point in time and recording all their friendship relations. Now suppose that we come back at some point in the future and observe it again. According to the theories based on empirical studies of triadic closure in networks, which new edge is most likely to be present? (Le. which pair of nodes, who do not currently have an edge connecting them, are most likely to be linked by an edge when we return to take the second observation?) Also, give a brief explanation for your answer. Figure 1.1: A social network where triadic closure may occur. C e 1.2 Textbook Page 116, Chapter 4, 4.6 Exercise, Question 2 Given a bipartite affiliation graph, showing the membership of people in different social foci, researchers sometimes create a projectedgraph on just the people, in which we join two people when they have a focus in common. (a) Draw what such a projected graph would look like for the example of memberships on corporate boards of directors from Figure 1.2. Here the nodes would be the seven people in the figure, and there would be an edge joinning any two who serve on a board of directors together