Communicability and multipartite structures in complex networks at negative absolute temperatures

Estrada, Ernesto and Higham, Desmond J. and Hatano, Naomichi (2008) Communicability and multipartite structures in complex networks at negative absolute temperatures. Physical Review E, 78 (2). ISSN 1539-3755

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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.

ORCID iDs

Estrada, Ernesto ORCID logoORCID: https://orcid.org/0000-0002-3066-7418, Higham, Desmond J. ORCID logoORCID: https://orcid.org/0000-0002-6635-3461 and Hatano, Naomichi;
  • Item type:Article
    ID code:15063
    Dates:
    Date
    Event
    8 August 2008
    Published
    Keywords:multipartite structures, multipartite subgraphs, negative absolute temperatures, communicability, Mathematics, Statistical and Nonlinear Physics, Statistics and Probability, Condensed Matter Physics
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Mrs Irene Spencer
    Date deposited:28 Jan 2010 13:08
    Last modified:20 Jan 2021 18:09
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/15063
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