Communicability and multipartite structures in complex networks at negative absolute temperatures

Ernesto Estrada, Desmond J. Higham, Naomichi Hatano

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21 Citations (Scopus)

Abstract

We here present a method of clearly identifying multipartite 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 identifying multipartite subgraphs; the latter quantity between two nodes is positive when the two nodes belong to the same subgraph and is negative when they do not. The method is able to discover 'almost' multipartite structures, where intercommunity connections vastly outweigh intracommunity connections. We illustrate the relevance of this work to real-life food web and protein-protein interaction networks.
Original languageEnglish
JournalPhysical Review E
Volume78
Issue number2
DOIs
Publication statusPublished - 8 Aug 2008

Keywords

  • multipartite structures
  • multipartite subgraphs
  • negative absolute temperatures
  • communicability

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