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3 Emergence of scaling in complex networks

Advances in many fields faced with complex systems, ranging from biology to computer science, are hindered by the limited understanding of the complex webs that characterize the interactions between the system’s constituents. These networks assemble and evolve through the addition and removal of nodes and links, dynamical processes that eventually determine their topology. There is increasing evidence that networks appearing in diverse systems share common topological and dynamical features, indicating the existence of robust self-organizing principles and evolutionary laws that govern the interwoven natural and social world around us.