Communicability and multipartite structures in complex networks at negative absolute temperatures

Details Communicability and multipartite structures in complex networks at negative absolute temperatures Communicability and multipartite structures in complex networks at negative absolute temperatures

2009-05-26

arxiv.org/abs/0905.4101v1

Phys. Rev. E 78, 026102 (2008)

Physics

Physics and Society

24 pages, 5 figures

Scientific paper

10.1103/PhysRevE.78.026102

We here present a method of clearly identifying multi-partite subgraphs in a network. The method is based on a recently introduced concept of the communicability, which very clearly identifies communities in a complex network. We here show that, while the communicability at a positive temperature is useful in identifying communities, the communicability at a negative temperature is useful in idenfitying multi-partitite subgraphs; the latter quantity between two nodes is positive when the two nodes belong to the same subgraph and is negative when not. The method is able to discover `almost' multi-partite structures, where inter-community connections vastly outweigh intracommunity connections. We illustrate the relevance of this work to real-life food web and protein-protein interaction networks.

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