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Social Network Analysis

Data

In this assignment you will be using data from:

Representing Classroom Social Structure. Melbourne: Victoria Institute of Secondary Education, M. Vickers and S. Chan, (1981)

Available from the Index of Complex Networks (ICON)

The data were collected by Vickers from 29 seventh grade students in a school in Victoria, Australia. Students were asked to nominate their classmates on a number of relations including the following three "layers":

  1. Who do you get on with in the class?
  2. Who are your best friends in the class?
  3. Who would you prefer to work with?

You have a data set for each of these questions, please compete the following tasks.

Data Wrangling

Manipulate each of the data sets so that it is suitable for building a social network using iGraph.

Visualize the Networks

Create a graph for each of the data sets, are the graphs directed or undirected? Visualize each of the graphs you have created and color the nodes according to gender.

Simple structures

Count the number of dyads and the number and type of triads using the following commands.

dyad_census()

Documentation

triad_census()

Documentation

Do these metrics tell you anything about the networks?

Cliques

Answer the following questions using the clique functions

What is the size of the largest clique(s) in each of the three networks?


Which nodes/vertices are in the largest cliques for the three networks? Is there much overlap?


How many maximal cliques are there in each of the networks?


#Components & Cutpoints

Find the cutpoints (articulation points) for each of the three networks you generated. What does this tell you about he graphs? Does what you find match a visual exploration of the networks?

articulation_points()

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