Article
Connectivity of a Gaussian Network
International Journal of Ad Hoc and Ubiquitous Computing
Document Type
Article
Publication Date
1-1-2008
Keywords
- transceiver,
- Gilbert model,
- continuum percolation
Disciplines
Abstract
Following Etherington, Hoge and Parkes, we consider a network consisting of (approximately) N transceivers in the plane R² distributed randomly with density given by a Gaussian distribution about the origin, and assume each transceiver can communicate with all other transceivers within distance s. We give bounds for the distance from the origin to the furthest transceiver connected to the origin, and that of the closest transceiver that is not connected to the origin.
DOI
http://dx.doi.org/10.1504/IJAHUC.2008.018407
Subjects - Topical (LCSH)
Wireless sensor networks; Gaussian distribution; Continuum (Mathematics)
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
Citation Information
Paul Balister, Béla Bollobás, Amites Sarkar and Mark Walters. "Connectivity of a Gaussian Network" International Journal of Ad Hoc and Ubiquitous Computing Vol. 30 Iss. 3 (2008) p. 204 - 213 Available at: http://works.bepress.com/amites_sarkar/1/