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Johnson, Jeffrey
(2006).
URL: http://ecss.csregistry.org/tiki-index.php?page=ECC...
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.
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About
- Item ORO ID
- 4628
- Item Type
- Conference or Workshop Item
- Keywords
- hypernetworks, networks, complex systems, complexity, multilevel systems
- 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
- Design and Innovation
- Depositing User
- Jeffrey Johnson