Hypernetworks in the Science of Complex Systems
نویسنده
چکیده
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منابع مشابه
Hypernetworks of Complex Systems
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 backclo...
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Complex network theory has been used to study complex systems. However, many real life systems involve multiple kinds of objects . They can’t be described by simple graphs. In order to provide complete information of these systems, we extend the concept of evolving models of complex networks to hypernetworks. In this work, we firstly propose a non-uniform hypernetwork model with attractiveness,...
متن کاملHypernetworks for reconstructing the dynamics of multilevel systems
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...
متن کاملEmbracing n-ary Relations in Network Science
Most network scientists restrict their attention to relations between pairs of things, even though most complex systems have structures and dynamics determined by n-ary relation where n is greater than two. Various examples are given to illustrate this. The basic mathematical structures allowing more than two vertices have existed for more than half a century, including hypergraphs and simplici...
متن کاملHypernetworks for Policy Design in Systems of Systems of Systems
Hypernetworks generalise networks and hypergraphs, allowing relations between many things to be modelled by hypersimplices with richer structure than hypergraph edges. They provide a way of integrating bottom-up and top-down micro, meso and macrolevel dynamics in multilevel systems. They provide a natural way of representing social structures, enabling polices to be tested by computation and bi...
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عنوان ژورنال:
دوره 3 شماره
صفحات -
تاریخ انتشار 2014