#2 - Emergence of Network Science [36m33s]
Contributing factors to the emergence of network science; mining an learning with graphs: an overview of related tasks and topics.
#3 - Brief Introduction to Graph Theory and Network Vocabulary [35m33s]
Brief introduction to graph theory and network vocabulary: links/edges, networks/graphs, self-loops, multi-graphs, simple graphs, undirected and directed networks, edge and node attributes (weigth, rank, type), degree distribution; multiplex networks, temporal networks, cliques, components (and giant component), bipartite networks (and projections)
Class #3 (1-5 Mar)
#4 - Measuring Graphs and Results on Real Networks [54m27s]
Networks properties: degree distribution, paths, distance, diameter, average path length, clustering coefficient, connected components and giant component; properties of real networks: results for MSN and PPI; network datasets.
#5 - Erdös-Renyi Random Graph Model [56m39s]
The Erdös-Renyi random graph model and its topological properties: degree distribution, cluster coefficient, expansion, path length and the emergence of a giant component; comparison of Erdös-Renyi with real-world graphs; usage of NetLog for visualization.
#6 - Small-World Random Graph Model [29m11s]
Milgram's small world experiment; clustering and edge locality, the Watts-Strogatz model and the intermediate step between purely regular and purely random networks.
Class #4 (8-12 Mar)
#7 - Power Laws and Preferential Attachment [1h35m09s]
Power-laws in real-world degree distributions and typical exponents; power-law functions and their characteristics; scale-free networks; preferential attachment: origins, models, visualization and characteristics; fitting power laws: simple binning, logarithmic binning, cumulative distributions; power-laws in real distributions; other distributions.
Class #5 (15-19 Mar)
#8 - Node Centrality [1h10m49s]
Motivation: node importance and ranking; degree centrality and why it's not enough; betweenness centrality; closeness and harmonic centrality; eigenvector centrality and variants (e.g. bonachich); extension to directed and weighted networks.
Class #6 (22-26 Mar)
#9 - Gephi Tutorial [41m12s]
Using Gephi, an open-source network analysis and visualization software: GUI, plugins, changing node and edge appearance, graph layouts, computing metrics and statistics, filtering. Exploring two datasets: a Facebook ego network and the openflights dataset.