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arXiv · 1912.07288

Nonlocal network dynamics via fractional graph Laplacians

Michele Benzi·Daniele Bertaccini·Fabio Durastante·Igor Simunec
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Abstract

We introduce nonlocal dynamics on directed networks through the construction of a fractional version of a nonsymmetric Laplacian for weighted directed graphs. Furthermore, we provide an analytic treatment of fractional dynamics for both directed and undirected graphs, showing the possibility of exploring the network employing random walks with jumps of arbitrary length. We also provide some examples of the applicability of the proposed dynamics, including consensus over multi-agent systems described by directed networks.

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Michele Benzi, Daniele Bertaccini, Fabio Durastante, Igor Simunec. 2019-12-16. Nonlocal network dynamics via fractional graph Laplacians. https://doi.org/10.1093/comnet%2Fcnaa017

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