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What is the density and diameter in your network? Apply at least three measures of centrality to study the importance of the nodes in your network. Report the values of these centrality scores for the most central four or five nodes. Interpret these centrality measures. Based on these centrality scores who are the most important two or three nodes in your network and why?

Present and study a network that you will create yourself.

In this first summative assessment, we ask you to present and study a network that you will create yourself. You may draw upon your personal environment to create a network. You may rely on your memory in creating this network. Alternatively, you can collect secondary data on a network that you may or may not be a member of. For example, you can scrap the web, use secondary sources, books, movies, documents, and so on. But do not collect primary data , because collecting primary data is a sensitive issue and may require an ethnical review. Below are some constraints on your network. Apart from these constraints fell free and be creative.

Based on your network write a short report. Your report should discuss at a minimum the items given below. You may comment on additional properties of your network once you cover all items below. You may write a single report discussing all items. You may also structure your report in four parts corresponding to the four groups of items below. Note that the interpretation of a particular network measure is as important as correctly calculating and reporting the measure. So, make sure to include an interpretation of the network measures you report.

A: Description of your network:

Describe briefly your network. What/who are the nodes? What do the edges represent? What type of a network is it? How did you collect the network data.
What is the density and diameter in your network? Apply at least three measures of centrality to study the importance of the nodes in your network. Report the values of these centrality scores for the most central four or five nodes. Interpret these centrality measures. Based on these centrality scores who are the most important two or three nodes in your network and why? Comment on how centralized your network is.

C: Characteristics of groups of nodes:

Does your network have any cliques? Describe the k-cores of your network. Are there any structurally equivalent nodes in your network? Run a formal block modeling, comment on any nodes that look structurally equivalent to you and interpret the results of your blockmodeling.

D: Characteristics of the edges:

Study the transitivity of the network by reporting and interpreting the global and local clustering coefficients. If it is a directed network, also calculate and interpret the reciprocity of the network. If it is a signed network, comment on whether your network is structurally balanced.

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