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Johnson, J.H.
(2016).
DOI: https://doi.org/10.1140/epjst/e2016-02653-4
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.
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About
- Item ORO ID
- 47619
- Item Type
- Journal Item
- ISSN
- 1951-6401
- Keywords
- networks; multilevel networks; multiplex networks; hypernetworks; Q-analysis
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Engineering and Innovation
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Research Group
-
Centre for Policing Research and Learning (CPRL)
Design and Innovation - Copyright Holders
- © 2016 The Author
- Depositing User
- Jeffrey Johnson