Johnson, J.H.
(2016).
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| DOI (Digital Object Identifier) Link: | https://doi.org/10.1140/epjst/e2016-02653-4 |
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| Google Scholar: | Look up in Google Scholar |
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 |
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| 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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