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Network Science and Statistics - Fundamentals and Applications


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In this tutorial, we will cover the fundamentals and practical aspects of network science and how it can be used to solve problems in science and society! Outline:

Part 1: Introduction (30 min)

  • Networks of all kinds: biological, transportation.
  • Representation of networks, NetworkX data structures
  • Basic quick-and-dirty visualizations

Part 2: Hubs and Paths (40 min)

  • Finding important nodes; applications
  • Pathfinding algorithms and their applications
  • Hands-on: implementing path-finding algorithms
  • Visualize degree and betweenness centrality distributions.

Part 3: Cliques, Triangles & Structures (40 min)

  • Definition of cliques
  • Triangles as the simplest complex clique, applications
  • Using path-finding algorithms to find structures in a graph.
  • Open triangles as recommender systems.

Part 4: Bipartite Graphs (30 min)

  • Definition of bipartite graphs, applications
  • Constructing bipartite graphs in NetworkX.
  • Summary statistics of bipartite graphs

Part 5: Advanced Network Visualizations & Concepts (40 min)

  • Basic concepts in rational layouts: node positioning, node colouring.
  • Plots: Circos, Arc, Hive, Matrix, Flow plots
  • Handling large graphs using matrices.
  • Graph diffs and their application to analysis of time-variant, evolving graphs.


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