c04_netw_commun_handout

c04_netw_commun_handout - Community structure in networks...

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1 • Many real-world networks, especially social ones, exhibit community structure (also called modularity) . • Intuitively community structure can be defined as the existence of subgraphs that are densely connected but sparsely inter-connected. Community structure in networks Karate club friendship network The club later split into two. Collaborations at the Santa Fe Institute Examples of communities • Network : World Wide Web – Nodes : webpages – Edges : hyper-references • Communities : Nodes on related topics • Network : Friendship network – Nodes : people – Edges : friendship • Communities : Group formation among people • Network : Metabolic networks – Nodes : metabolites – Edges : participation in a chemical reaction • Communities : Functional modules Definitions of a community Cliques (completely connected subgraphs) Chain of cliques – adjacent cliques share every node except one k-clan – diameter (largest path length) is k Definitions using the edges inside and outside a presumed community k
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c04_netw_commun_handout - Community structure in networks...

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