Interplay between function and structure in complex networks

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dc.creatorJarrett, Timothy C.
dc.creatorAshton, Douglas J.
dc.creatorFricker, Mark
dc.creatorJohnson, Neil F.
dc.date2006-04-21
dc.date.accessioned2026-07-07T07:11:41Z
dc.date.available2026-07-07T07:11:41Z
dc.descriptionWe show that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our results offer an explanation as to why so many diverse species of network structure arise in Nature (e.g. fungal systems) under essentially the same environmental conditions. Our findings are based on an exactly solvable model system which mimics a variety of biological and social networks. We then extend our analysis by introducing a novel renormalization scheme involving cost motifs, to describe analytically the average shortest path across multiple-ring-and-hub networks. As a consequence, we uncover a 'skin effect' whereby the structure of the inner multi-ring core can cease to play any role in terms of determining the average shortest path across the network.
dc.descriptionExpanded version of physics/0508228 with additional new results
dc.identifierhttps://arxiv.org/abs/physics/0604183
dc.identifierhttp://arxiv.org/abs/physics/0604183
dc.identifierPhys Rev E 74, 026116 (2006): updated version
dc.identifierdoi:10.1103/PhysRevE.74.026116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111847
dc.subjectBiological Physics
dc.subjectPhysics and Society
dc.titleInterplay between function and structure in complex networks
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