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Hypernetworks: Multidimensional relationships in multilevel systems

Johnson, J.H. (2016). Hypernetworks: Multidimensional relationships in multilevel systems. European Physical Journal Special Topics, 225(6) pp. 1037–1052.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1140/epjst/e2016-02653-4
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Abstract

Networks provide a powerful way of modelling the dynamics of complex systems. Going beyond binary relations, embracing n-ary relations in network science can generalise many structures. This starts with hypergraphs and their Galois structures. Simplicial complexes generalise hypergraphs by adding orientation. Their multidimensional q-connectivity structure generalises connectivity in networks. Hypersimplices generalise simplices by making the relational structure explicit in the notation. This gives a new way of representing multilevel systems and their dynamics, leading to a new fragment-recombine operator to model the complex dynamics of interacting multilevel systems.

Item Type: Journal Item
Copyright Holders: 2016 The Author
ISSN: 1951-6401
Keywords: networks; multilevel networks; multiplex networks; hypernetworks; Q-analysis
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Engineering and Innovation
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Interdisciplinary Research Centre: Centre for Policing Research and Learning (CPRL)
Design and Innovation
Item ID: 47619
Depositing User: Jeffrey Johnson
Date Deposited: 18 Oct 2016 14:28
Last Modified: 23 Mar 2017 19:03
URI: http://oro.open.ac.uk/id/eprint/47619
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