Statistical-mechanical approach to subgraph centrality in complex networks

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dc.creatorEstrada, Ernesto
dc.creatorHatano, Naomichi
dc.date2009-05-26
dc.date.accessioned2026-07-07T13:18:09Z
dc.date.available2026-07-07T13:18:09Z
dc.descriptionWe interpret the subgraph centrality as the partition function of a network. The entropy, the internal energy and the Helmholtz free energy are defined for networks and molecular graphs on the basis of graph spectral theory. Various relations of these quantities to the structure and the dynamics of the complex networks are discussed. They include the cohesiveness of the network and the critical coupling of coupled phase oscillators. We explore several models of network growing/evolution as well as real-world networks, such as those representing metabolic and protein-protein interaction networks as well as the interaction between secondary structure elements in proteins.
dc.description17 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0905.4098
dc.identifierhttp://arxiv.org/abs/0905.4098
dc.identifierChem. Phys. Lett. 439 (2007) 247-251
dc.identifierdoi:10.1016/j.cplett.2007.03.098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231342
dc.subjectPhysics and Society
dc.subjectStatistical Mechanics
dc.titleStatistical-mechanical approach to subgraph centrality in complex networks
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