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16-ncp_annot - CS224W: JureLeskovec,StanfordUniversity...

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CS224W: Social and Information Network Analysis Jure Leskovec Stanford University Jure Leskovec, http://cs224w.stanford.edu
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Non overlapping vs overlapping communities Non overlapping vs. overlapping communities 11/10/2010 Jure Leskovec, Stanford CS224W: Social and Information Network Analysis, http://cs224w.stanford.edu 2
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[Palla et al., ‘05] A node belongs to many social circles 11/10/2010 Jure Leskovec, Stanford CS224W: Social and Information Network Analysis, http://cs224w.stanford.edu 3
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[Palla et al., ‘05] Two nodes belong to the same community if they Two nodes belong to the same community if they can be connected through adjacent k cliques: k clique: Fully connected graph on k nodes Adjacent k cliques: 4-clique overlap in k-1 nodes k clique community Set of nodes that can be reached through a sequence of adjacent adjacent 3-cliques k cliques 11/10/2010 Jure Leskovec, Stanford CS224W: Social and Information Network Analysis, http://cs224w.stanford.edu 4
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[Palla et al., ‘05] Clique Percolation Method: Clique Percolation Method: Find maximal cliques (not k cliques!) Clique overlap matrix: Each clique is a node Connect two cliques if they overlap in at least k-1 nodes k 1 Communities: Connected components of th li l t i the clique overlap matrix How to set k ? Set k so that we get the “richest” (most widely distributed cluster sizes) community structure 11/10/2010 Jure Leskovec, Stanford CS224W: Social and Information Network Analysis, http://cs224w.stanford.edu 5
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