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Network-based kinetic models: Emergence of a statistical description of the graph topology

Network-based kinetic models: Emergence of a statistical description of the graph topology

Abstract In this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent systems. We formally show that for large graphs and specific classes of interactions a statistical description of the graph topology, given in terms of the …