Spatial small-world networks: A wiring-cost perspective

dc.creatorPetermann, Thomas
dc.creatorRios, Paolo De Los
dc.date2005-01-18
dc.date2005-05-18
dc.date.accessioned2026-07-07T03:03:18Z
dc.date.available2026-07-07T03:03:18Z
dc.descriptionSupplementing a lattice with long-range connections effectively models small-world networks characterized by a high local and global interconnectedness observed in systems ranging from society to the brain. If the links have a wiring cost associated to their length l, the corresponding distribution q(l) plays a crucial role. Uniform length distributions have received most attention despite indications that q(l) ~ l^{-α} exist, e.g. for integrated circuits, the Internet and cortical networks. Here we discuss for such systems the emergence of small-world topology, its relationship to the wiring costs, the distribution of flows as well as the robustness with respect to random failures and overload. The main finding is that the choice of such a distribution leads to favorable attributes in most of the investigated properties.
dc.description3 figures, 2 tables. Added references, introduction and last paragraph of page 2 slightly modified
dc.identifierhttps://arxiv.org/abs/cond-mat/0501420
dc.identifierhttp://arxiv.org/abs/cond-mat/0501420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25700
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectNeurons and Cognition
dc.titleSpatial small-world networks: A wiring-cost perspective
dc.typetext

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