English

Structure and function in flow networks

Physics and Society 2015-06-12 v1 Social and Information 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.

Keywords

Cite

@article{arxiv.1301.2604,
  title  = {Structure and function in flow networks},
  author = {Nicolás Rubido and Celso Grebogi and Murilo S. Baptista},
  journal= {arXiv preprint arXiv:1301.2604},
  year   = {2015}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-21T23:08:06.954Z