Work

Structure of complex networks: Quantifying edge-to-edge relations by failure-induced flow redistribution

Year: 2014

Type: article

Abstract: The analysis of complex networks has so far revolved mainly around the role of nodes and communities of nodes. However, the dynamics of interconnected systems is often focalized on edge processes, and a dual edge-centric perspective can often prove more natural. Here we present graph-theoretical measures to quantify edge-to-edge relations inspired by the notion of flow redistribution induced by edge failures. Our measures, which are related to the pseudo-inverse of the Laplacian of the network, are global and reveal the dynamical interplay between the edges of a network, including potentiallynon-localinteractions. Our framework also allows us to define the embeddedness of an edge, a measure of how strongly an edge features in the weighted cuts of the network. We showcase the general applicability of our edge-centric framework through analyses of the Iberian power grid, traffic flow in road networks, and theC. elegansneuronal network.

Source: Network Science

DOI: 10.1017/nws.2014.4

Authors: MICHAEL T. SCHAUB, JÖRG LEHMANN, SOPHIA N. YALIRAKI, MAURICIO BARAHONA

Institutions: Imperial College London, ABB (Switzerland)

Language: English

Topic: Complex Network Analysis Techniques

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Awards: G439372692, G5946492841