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Hypernetworks for reconstructing the dynamics of multilevel systems

Johnson, Jeffrey (2006). Hypernetworks for reconstructing the dynamics of multilevel systems. In: European Conference on Complex Systems 2006, 25-29 Sep 2006, Oxford.

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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
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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