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Relationships between entities in many complex systems, such as the Internet and social networks, have a natural hierarchical organization. Understanding these inherent hierarchies is essential for creating models of these systems. Thus, there is a recent body of research concerning the extraction of hierarchies from networks. The authors propose a new method for modeling hierarchies through extracting the affiliations of the network. From these affiliations, they construct a lattice of the relationships between nodes. A principal advantage of their approach is that any overlapping community structures of the nodes within the network have a natural representation within the lattice.
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