By Tanja Falkowski
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Extra info for Community Analysis in Dynamic Social Networks
In Chapter 4 we propose a method to find dense subgroups which is based on a local property: The number of neighbors of an actor that lie in a predefined neighborhood. 2 Communities in Networks considered that are close enough, while closeness is determined using two parameters. If the neighborhood is dense enough, a cluster is build. The density-based cluster algorithm DENGRAPH is described in detail in Chapter 4. Subgroup Detection Based on Global Information The approaches discussed so far are based on properties of vertices within the subgroup.
29 2 Fundamentals Conductance Besides a high connectivity inside a cluster, a good clustering is characterized by a low degree of connectivity between two clusters. The conductance compares the weight of the cut with the edge weight in either of the two induced subgraphs. , C2 = V \ C1 . The weight of the cut is the sum of the weights of the edges with one endpoint in each of the two disjoint vertex sets C1 and C2 : ω(C1 , V \ C2 ). 18) C1 ⊆V Performance The performance index combines two functions for the density measure f and the sparsity measure g.
Howard Rheingold is credited with inventing the term virtual community. In 1993, he published a book called “The Virtual Community”  in which he describes the cultural and political implications of a new communication medium - a computer conferencing system called the WELL (Whole Earth ’Lectronic Link). The WELL was founded in 1985 and its goal was to attract interested people into online conversation with each other. ” . 2 Communities in Networks around the world into discussions. He was one of the first people, if not the first, discussing his own experiences and observations with relationships being build virtually.
Community Analysis in Dynamic Social Networks by Tanja Falkowski