Franceschetti, Massimo and Booth, Lorna and Cook, Matthew and Meester, Ronald and Bruck, Jehoshua (2005) Continuum Percolation with Unreliable and Spread-Out Connections. Journal of Statistical Physics, 118 (3-4). pp. 721-734. ISSN 0022-4715. doi:10.1007/s10955-004-8826-0. https://resolver.caltech.edu/CaltechAUTHORS:20191009-093219813
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Abstract
We derive percolation results in the continuum plane that lead to what appears to be a general tendency of many stochastic network models. Namely, when the selection mechanism according to which nodes are connected to each other, is sufficiently spread out, then a lower density of nodes, or on average fewer connections per node, are sufficient to obtain an unbounded connected component. We look at two different transformations that spread-out connections and decrease the critical percolation density while preserving the average node degree. Our results indicate that real networks can exploit the presence of spread-out and unreliable connections to achieve connectivity more easily, provided they can maintain the average number of functioningconnections per node.
Item Type: | Article | |||||||||
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Additional Information: | © 2005 Springer Science+Business Media, Inc. Received February 23, 2004; accepted July 9, 2004. This work was partially supported by the Lee Center for Advanced Networking at Caltech, and by DARPA grant number F33615-01-C-1895 at Berkeley. | |||||||||
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Subject Keywords: | Continuum percolation; random connection model; Poisson processes; stochastic networks; unreliable connections | |||||||||
Issue or Number: | 3-4 | |||||||||
DOI: | 10.1007/s10955-004-8826-0 | |||||||||
Record Number: | CaltechAUTHORS:20191009-093219813 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20191009-093219813 | |||||||||
Official Citation: | Franceschetti, M., Booth, L., Cook, M. et al. J Stat Phys (2005) 118: 721. https://doi.org/10.1007/s10955-004-8826-0 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 99181 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Tony Diaz | |||||||||
Deposited On: | 09 Oct 2019 17:09 | |||||||||
Last Modified: | 16 Nov 2021 17:44 |
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