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arXiv · 1301.2604

Structure and function in flow networks

Nicolás Rubido·Celso Grebogi·Murilo S. Baptista
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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.

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Nicolás Rubido, Celso Grebogi, Murilo S. Baptista. 2013-01-10. Structure and function in flow networks. https://doi.org/10.1209/0295-5075%2F101%2F68001

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