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Co-evolution of networks and quantum dynamics: a generalization of the Barabási-Albert model of preferential attachment

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DatePublished - 4 Feb 2013
PublisherArxiv (Cornell University)
Number of pages10
Original languageEnglish

Abstract

We propose a network growth algorithm based on the dynamics of a quantum mechanical system co-evolving together with a graph which is seen as its phase space. The algorithm naturally generalizes Barab\'asi-Albert model of preferential attachment and it has a rich set of tunable parameters -- for example, the initial conditions of the dynamics or the interaction of the system with its environment. We observe that the algorithm can grow networks with two-modal power-law degree distributions and super-hubs.

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