Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 58: Poster: Nonlinear Dynamics; Pattern Formation; Networks; Delay Systems; Synchronization
DY 58.6: Poster
Thursday, March 19, 2020, 15:00–18:00, P1C
Measuring the relative importance of network constituents: A perturbation-based approach — •Timo Bröhl1,2 and Klaus Lehnertz1,2,3 — 1Dept. of Epileptology, University of Bonn, Bonn, Germany — 2Helmholtz Institute for Radiation and Nuclear Physics, University of Bonn, Bonn, Germany — 3Interdisciplinary Center for Complex Systems, University of Bonn, Bonn, Germany
Investigating complex dynamical systems with methods from network theory has become a prominent approach in diverse areas of science, ranging from physics to the neurosciences. The powerful framework of graph theory allows characterization of a network ranging from to global to the local scale. We investigate the impact of small network perturbations on importance of network constituents (nodes and edges) as accessed with various centrality concepts. Three types of perturbations are applied on the edge level of paradigmatic network topologies with varying sizes and edge densities. Results indicate a close relationship between characteristics of the applied perturbations and the importance ranking of both nodes and edges. This relationship however differs for different network topologies and depends on the applied centrality concept. Our perturbation-based approach may be advantageous to identify spurious or salient edges in networks derived from empirical data.
(This work was supported by the Deutsche Forschungsgemeinschaft; Grant No. LE660/7-1)