Structure and function in flow networks
1 Institute for Complex Systems and Mathematical Biology, University of Aberdeen, King's College AB24 3UE Aberdeen, UK, EU
2 Instituto de Física, Facultad de Ciencias, Universidad de la República - Iguá 4225, Montevideo, 11200, Uruguay
Received: 7 February 2013
Accepted: 6 March 2013
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.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.75.Hc – Networks and genealogical trees / 95.75.Pq – Mathematical procedures and computer techniques
© EPLA, 2013