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Santa Fe Institute Research Topics - Physics of Complex Systems: Network Resources

They leave out political networks but I will keep an eye on the work the develop. Does the shape of political network make it more robust or influnenial? Is there a 3 dimensional structure equivalent to the power law?

Link: Santa Fe Institute Research Topics - Physics of Complex Systems.

Many complex systems can be represented as a graph or network, i.e., a collection of vertices with edges between them indicating their interactions. These include networks of scientific citations and collaborations; technological networks such as the Internet, the World Wide Web, road networks, power grids, railways and airline routes; and biological networks, such as food webs, genetic regulatory networks, and metabolic networks. Because of their ubiquity, networks are of deep interest to all these disciplines. Generic questions include: How is the structure of a network related to its function and behavior? What mathematical and statistical models accurately capture the important aspects of a network’s structure? And, can these models predict a network’s future behavior? SFI research on networks from a physics perspective is described in the following paragraphs. Research on network structure, function and dynamics in relation to biological and social processes is described under Innovation in Evolutionary Systems and Emergence, Organization, and Dynamics of Living Systems .

Much of SFI’s contribution to the physics of networks has focused on community structure, in which the network is organized into densely-connected clumps with sparse connections between clumps. These clumps can represent, for instance, genres of music in a network of recommendations, or functional modules in metabolic networks