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Emergence of scale-free networks from local connectivity and communication trade-offs

Valmir C. Barbosa·Raul Donangelo·Sergio R. Souza
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Abstract

We introduce a new mechanism of connectivity evolution in networks to account for the emergence of scale-free behavior. The mechanism works on a fixed set of nodes and promotes growth from a minimally connected initial topology by the addition of edges. A new edge is added between two nodes depending on the trade-off between a gain and a cost function of local connectivity and communication properties. We report on simulation results that indicate the appearance of power-law distributions of node degrees for selected parameter combinations.

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Valmir C. Barbosa, Raul Donangelo, Sergio R. Souza. 2005-12-21. Emergence of scale-free networks from local connectivity and communication trade-offs. https://doi.org/10.1103/physreve.74.016113

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