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Hypernetworks of complex systems

Johnson, Jeffrey (2009). Hypernetworks of complex systems. In: Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 2009. Revised Papers, Part 1, 23-25 Feb 2009, Shanghai, Springer, pp. 364–375.

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Hypernetworks generalise the concept of a relation between two things to relations between many things. The notion of relational simplex generalises the concept of network edge to relations between many elements. Relational simplices have multi-dimensional connectivity related to hypergraphs and the Galois lattice of maximally connected sets of elements. This structure acts as a kind of backcloth for the dynamic system traffic represented by numerical mappings, where the topology of the backcloth constrains the dynamics of the traffic. Simplices provide a way of defining multilevel structure. This relates to system time measured by the formation of simplices as system events. Multilevel hypernetworks are classes of sets of relational simplices that represent the system backcloth and the traffic of systems activity it supports. Hypernetworks provide a significant generalisation of network theory, enabling the integration of relational structure, logic, and topological and analytic dynamics. They provide structures that are likely to be necessary if not sufficient for a science of complex multilevel socio-technical systems.

Item Type: Conference or Workshop Item
Copyright Holders: 2009 Springer
ISBN: 3-642-02465-3, 978-3-642-02465-8
ISSN: 1867-8211
Extra Information: Complex Sciences
First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1
Editors:Jie Zhou
Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering Vol. 4 2009
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: 35360
Depositing User: Jeffrey Johnson
Date Deposited: 12 Dec 2013 11:03
Last Modified: 08 Dec 2018 16:55
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