Structure and function in flow networks

Abstract

This Letter presents a unified approach for the fundamental relationship between structure and function in flow networks by solving analytically the voltages in a resistor network, transforming the network structure to an effective all-to-all topology, and then measuring the resultant flows. Moreover, it defines a way to study the structural resilience of the graph and to detect possible communities.

5 pages, 4 figures

References in corpus (2)

• Benchmark graphs for testing community detection algorithms
• Cascade control and defense in complex networks

Cited by in corpus (6)

• Models for the modern power grid
• Resiliently evolving supply-demand networks
• Finding the Resistance Distance and Eigenvector Centrality from the Network's Eigenvalues
• Understanding Information Transmission in Complex Networks
• Community detection by resistance distance: automation and benchmark testing
• General analytical solutions for DC/AC circuit network analysis