Close Communities in Social Networks: Boroughs and 2-Clubs
Social and Information Networks
2015-12-02 v5 Physics and Society
Abstract
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 shown to contain the structure of close communication in a network. Applications are given with examples from real world network data.
Cite
@article{arxiv.1510.08662,
title = {Close Communities in Social Networks: Boroughs and 2-Clubs},
author = {Steven Laan and Maarten Marx and Robert J. Mokken},
journal= {arXiv preprint arXiv:1510.08662},
year = {2015}
}
Comments
Keywords: Social networks, close communication, close communities, boroughs, 2-clubs, diameter 2, ego-networks