Close Communities in Social Networks: Boroughs and 2-Clubs

steven Laan, Maarten Marx, Robert J. Mokken
2015 Social Science Research Network  
The structure of close communication, contacts and association in social networks is studied in the form of maximal subgraphs of diameter 2 (2-clubs), corresponding to three types of close communities: hamlets, social circles and coteries. The concept of borough of a graph is defined and introduced. Each borough is a chained union of 2-clubs of the network and any 2-club of the network belongs to one borough. Thus the set of boroughs of a network, together with the 2-clubs held by them, are
more » ... ld by them, are shown to contain the structure of close communication in a network. Applications are given with examples from real world network data.
doi:10.2139/ssrn.2686127 fatcat:urmdrwduxfgmlbanp5m6so4awq