Nonlocal network dynamics via fractional graph Laplacians
Social and Information Networks
2020-08-05 v4 Combinatorics
Physics and Society
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.
Keywords
Cite
@article{arxiv.1912.07288,
title = {Nonlocal network dynamics via fractional graph Laplacians},
author = {Michele Benzi and Daniele Bertaccini and Fabio Durastante and Igor Simunec},
journal= {arXiv preprint arXiv:1912.07288},
year = {2020}
}