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CommunityStructure - Computational Molecular Biology...

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Computational Molecular Biology Community Structures
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My T. Thai [email protected] 2 What is Community Structure Definition: A community is a group of nodes in which: There are more edges (interactions) between nodes within the group than to nodes outside of it
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My T. Thai [email protected] 3 Why Community Structure (CS)? Many systems can be expressed by a network, in which nodes represent the objects and edges represent the relations between them: Social networks: collaboration, online social networks Technological networks: IP address networks, WWW, software dependency Biological networks: protein interaction networks, metabolic networks, gene regulatory networks
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Why CS? My T. Thai [email protected] 4 Yeast Protein interaction networks
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Why CS? My T. Thai [email protected] 5 IP address network
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My T. Thai [email protected] 6 Why Community Structure? Nodes in a community have some common properties Communities represent some properties of a networks Examples: In social networks, represent social groupings based on interest or background In citation networks, represent related papers on one topic In metabolic networks, represent cycles and other functional groupings
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My T. Thai [email protected] 7 How to detect a community?
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My T. Thai [email protected] 8 Early Work Using hierarchical clustering Overview of this method: For each pair (u,v), calculate weight w uv which represents how closely connected u and v are Initialize G = (V, emptyset) At each iteration, add an edge with the strongest weight
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My T. Thai [email protected] 9 Early Work
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My T. Thai [email protected] 10 Early Work How to define the weight w uv Many different methods have been proposed: Number disjoint paths between u and v Number of possible paths between u and v Disadvantages: Tendency to separate the boundary vertices from the communities (to which they should belong)
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My T. Thai [email protected] 11 An Overview of Recent Work
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