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Onset of Small-World Behavior in Topologically Evolving Networks

Keywords: topology

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Abstract:

We evolve topology of a network of N fully-coupled nodes that interact according to repulsion-attractiondynamics within a confining wall. The dynamics portrays each node’s tendency to keep distance from itscompetitors while maintaining a lighter tendency to resist relative isolation. Each node is characterizedby two parameters: an intrinsic mobility μ and a preferred neighboring distance ρ. Onset of clustering isfound to occur at a critical variance in mobility, σμ2 = 1, and in preferred neighboring distance, σμ2 = 10.This result implies that small-world behavior manifested in clustering can be triggered by the diversity ofnode population.

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