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8th International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS)

Research Article

Hodge Decomposition of Information Flow on Complex Networks

Cite
BibTeX Plain Text
  • @INPROCEEDINGS{10.4108/icst.bict.2014.257876,
        author={Yuuya Fujiki and Taichi Haruna},
        title={Hodge Decomposition of Information Flow on Complex Networks},
        proceedings={8th International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS)},
        publisher={ICST},
        proceedings_a={BICT},
        year={2015},
        month={2},
        keywords={combinatorial hodge theory complex networks random threshold networks transfer entropy},
        doi={10.4108/icst.bict.2014.257876}
    }
    
  • Yuuya Fujiki
    Taichi Haruna
    Year: 2015
    Hodge Decomposition of Information Flow on Complex Networks
    BICT
    ACM
    DOI: 10.4108/icst.bict.2014.257876
Yuuya Fujiki1, Taichi Haruna1,*
  • 1: Kobe University
*Contact email: tharuna@penguin.kobe-u.ac.jp

Abstract

Decomposition of information flow associated with random threshold network dynamics on random networks with specified degree distributions is studied by numerical simulation. Combinatorial Hodge theory enables us to orthogonally decompose information flow into gradient (unidirectional acyclic flow), harmonic (global circular flow) and curl (local circular flow) components. We show that in-degree distribution has little influence on the relative strength of the circular component (harmonic plus curl) while out-degree distributions with longer tail suppress it. We discuss an implication of this finding on the topology of real-world gene regulatory networks.

Keywords
combinatorial hodge theory complex networks random threshold networks transfer entropy
Published
2015-02-02
Publisher
ICST
Appears in
ACM Digital Library
http://dx.doi.org/10.4108/icst.bict.2014.257876
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