Topology and Dynamics in Complex Networks: The Role of Edge Reciprocity

TL;DR

This paper investigates how reciprocity and average degree influence the relationship between topology and dynamics in directed complex networks using the steering coefficient, providing insights for designing systems with desired dynamic-topological properties.

Contribution

It introduces the use of the steering coefficient to analyze the impact of reciprocity on the topology-dynamics relationship in directed networks, combining theoretical and real-world data.

Findings

Reciprocity significantly affects the steering coefficient in directed networks.

Higher average degree correlates with increased topology-dynamics coupling.

Results can guide the design of complex systems with tailored dynamic behaviors.

Abstract

A key issue in complex systems regards the relationship between topology and dynamics. In this work, we use a recently introduced network property known as steering coefficient as a means to approach this issue with respect to different directed complex network systems under varying dynamics. Theoretical and real-world networks are considered, and the influences of reciprocity and average degree on the steering coefficient are quantified. A number of interesting results are reported that can assist the design of complex systems exhibiting larger or smaller relationships between topology and dynamics.