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BIL489 – Graph Theory Social Network Analysis Adapted from slides by Guillaeme Ereteo Social Networks A social network is made of actors (people, organizations, group) that are tied by social links. Sociograms and graphs actors are represented by points (nodes, vertices) and relations by lines (edges, links, arcs) Social links • explicit and declared relations • interactions between actors • affiliation between actors colleague communicate like web like undirected networks well suited for representing network with symmetric relationships such as facebook directed networks well suited for representing network with non reciprocal relationships such as Twitter weighted networks 3 1 0.5 1 2 well suited for representing the intensity of relationships, the number of interactions (e.g. mails), or the number of affiliations (e.g. shared links). labelled networks well suited for representing the type of relationships family friend colleague follow follow father father Social network analysis helps understanding and exploiting the key features of social networks in order to manage their assets, their life cycle and predict their evolution. What for? • • • • To control information flow To foster communication To improve network resilience To trust or not Diameter the maximum distance between two actors Density of links indicates the cohesion of the network Centrality: strategic positions [Freeman 1979] degree centrality focuses on the number of relations: reveal local popularity Centrality: strategic positions [Freeman 1979] closeness centrality focuses on the proximity of actors: reveal capacity to communicate Centrality: strategic positions [Freeman 1979] beetweenness centrality focuses on intermediary actors reveals brokers and privileged actor in the information flow "A place for good ideas" [Burt 1992] [Burt 2004] Centrality: strategic positions eigen vector centrality focuses on the connections of neighbours reveals actors that are well connected Preferential attachement Balance Theory [Heider 1958] Who has the best betweeness? this is a matter of semantic has met knows in passing colleague works With friend works With Metrics are not sufficient enough has met knows in passing colleague works With friend works With examples of vizualisation and analysis tools Touchgraph facebook browser easily vizualize your facebook social network http://apps.facebook.com/touchgraph this is mine Analyze your facebook network 1. Extract it first with netvizz: http://apps.facebook.com/netvizz 2. Open it with my favorite graph visualization tool: Gephi http://www.gephi.org extract with Netvizz • choose the information to include • Save the file analyze with Gephi Your network is undirected select the force layout compute shortest paths of relations highlight most popular actors Highlight brokers print attributes NODEXL • Excel 2007 based social network visualization and analysis tool • Homepage http://nodexl.codeplex.com • Tutorial http://casci.umd.edu/images/4/46/NodeXL _tutorial_draft.pdf Quick overview of the tutorial "One way to begin using NodeXL is to type in your own edge list. For example, you might type the name of people who are friends in each row filling in the Vertex 1 and Vertex 2 columns" "Click on the Show Graph button (directly above the graph pane) to show the network of friendships" "To calculate graph metrics first click on the Graph Metric button on the Analysis section of the NodeXL Ribbon." "Vertex metrics can be mapped onto visual attributes. The graph legend shows that Degree is mapped to Size and Betweenness Centrality is mapped to Opacity." You can now handle your social capital The social capital is the "resources embedded in one's social networks, resources that can be accessed or mobilized through ties in the networks" [Lin 2008] http://www.kstoolkit.org/Social+Network+Analysis