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Joseph Puccio
Ms. Berg
English IV
March 2, 2012
Network Analysis

  • I. We begin with an introduction of what a Network is
    • A. Instances of where one would find a network
      • 1. Social
      • 2. Ecological
      • 3. Computational
    • B. We give simple examples of each
  • II. We give the abstract structure of a network
    • A. Explain nodes
    • B. Explain connections
  • III. We provide mathematical tools to analyze networks
    • A. We introduce the formulas I’ve created
      • 1. Interconnectedness of entire network
      • 2. Importance of arbitrary node
      • 3. Importance of arbitrary subnetwork
    • B. We explain how each of these formulas work abstractly
    • C. We explain how to interpret the results from using these formulas
  • IV. We apply our tools to an actual network
    • A. We start with a simplified network that’s not real world data
      • 1. This would contain around 15 nodes each with approximately 3 connections, we would apply the formulas to the network and use this example network to demonstrate the tools‘ analytic power
    • B. We apply our tools to two real world networks
      • 1. One will certainly be the words and synonyms database
      • 2. One may be a subnetwork of Facebook, centered around me
    • C. We explain our results
    • V. We explain the implications of our results and the importance of understanding these factors of networks.