Structure and function in flow networks
classification
⚛️ physics.soc-ph
cs.SI
keywords
structureflowfunctionnetworknetworksall-to-allanalyticallyapproach
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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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