29. Sociologists use graphs to model social relationships. A social network (not to be confused with a network) is a graph where the nodes represent "actors" (e.g., people, companies) and the edges represent relationships, or "ties," between actors (e.g., friendships, business partnerships). Con- sider the social network in Figure 2.9. Figure 2.9 Social network for Exercise 29. (a) A clique in a social network is a group of actors who all have ties to each other. What is the largest clique in the social network in Figure 2.9? (b) If you had to choose the most important actor in this social network, who would you pick? Why? (c) Suppose the actors represent people and the ties represent acquain- tances. If the people in this social network continue to interact, which two (currently unacquainted) actors would you most expect to be- come acquainted? Which two actors are the least likely to become acquainted? Why?

29. Sociologists use graphs to model social relationships. A social network (not to be confused with a network) is a graph where the nodes represent "actors" (e.g., people, companies) and the edges represent relationships, or "ties," between actors (e.g., friendships, business partnerships). Con- sider the social network in Figure 2.9. Figure 2.9 Social network for Exercise 29. (a) A clique in a social network is a group of actors who all have ties to each other. What is the largest clique in the social network in Figure 2.9? (b) If you had to choose the most important actor in this social network, who would you pick? Why? (c) Suppose the actors represent people and the ties represent acquain- tances. If the people in this social network continue to interact, which two (currently unacquainted) actors would you most expect to be- come acquainted? Which two actors are the least likely to become acquainted? Why?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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