PMID: 22587147May 17, 2012Paper

Effective number of accessed nodes in complex networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Matheus P VianaLuciano da Fontoura Costa

Abstract

The measurement called accessibility has been proposed as a means to quantify the efficiency of the communication between nodes in complex networks. This article reports results regarding the properties of accessibility, including its relationship with the average minimal time to visit all nodes reachable after h steps along a random walk starting from a source, as well as the number of nodes that are visited after a finite period of time. We characterize the relationship between accessibility and the average number of walks required in order to visit all reachable nodes (the exploration time), conjecture that the maximum accessibility implies the minimal exploration time, and confirm the relationship between the accessibility values and the number of nodes visited after a basic time unit. The latter relationship is investigated with respect to three types of dynamics: traditional random walks, self-avoiding random walks, and preferential random walks.

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Roger GuimeràFrancesc Giralt
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R GuimeràA Arenas
Mar 6, 2004·Science·Ron MiloUri Alon
Apr 20, 2004·Physical Review Letters·Jae Dong Noh, Heiko Rieger
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcus Kaiser, Claus C Hilgetag
Apr 20, 2004·Physical Review Letters·Lazaros K Gallos, Panos Argyrakis
Aug 11, 2005·Physical Review Letters·Balázs KozmaG Korniss
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Z DezsöA-L Barabási
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E J Newman
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paulino R Villas BoasLuciano da Fontoura Costa

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Citations

Nov 16, 2017·Integrative Biology : Quantitative Biosciences From Nano to Macro·Paulo E P BurkeLuciano da F Costa
Sep 28, 2016·Scientific Reports·Aaron Bramson, Benjamin Vandermarliere
Mar 3, 2015·Scientific Reports·Glenn Lawyer
Dec 7, 2013·Neurosurgical Review·S BacigaluppiM Fontanella
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Guilherme Ferraz de ArrudaLuciano da Fontoura Costa
Dec 19, 2015·BMC Pregnancy and Childbirth·Karsten LunzeKim Dickson
Dec 29, 2016·PloS One·Goran MurićChristian Scheunert

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