Johnson, Jeffrey
(2006).
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Abstract
Networks are fundamental for reconstructing the dynamics of many systems, but have the drawback that they are restricted to binary relations. Hypergraphs extend relational structure to multi-vertex edges, but are essentially set-theoretic and unable to represent essential structural properties. Hypernetworks are a natural multidimensional generalisation of networks, representing n-ary relations by simplices with n vertices. The assembly of vertices to make simplices is key for moving between levels in multilevel systems, and integrating dynamics between levels. It is argued that hypernetworks are necessary, if not sufficient, for reconstructing the dynamics of multilevel complex systems.
| Item Type: | Conference or Workshop Item |
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| Keywords: | hypernetworks, networks, complex systems, complexity, multilevel systems |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Engineering and Innovation Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Research Group: | Design and Innovation |
| Item ID: | 4628 |
| Depositing User: | Jeffrey Johnson |
| Date Deposited: | 11 Jul 2007 |
| Last Modified: | 08 Dec 2018 06:35 |
| URI: | http://oro.open.ac.uk/id/eprint/4628 |
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