Connectivity of a Gaussian network. (21st May 2008)

• Record Type: Journal Article
• Authors: Balister, P.; Bollobas, B.; Sarkar, A.; Walters, M.
• Is Part Of: International journal of ad hoc and ubiquitous computing. Volume 3:Number 3(2008)
• Page Start: 204
• Page End: 213
• Publication Date: 2008-05-21
• Subjects: wireless sensor networks -- WSNs -- wireless networks -- Gaussian distribution -- transceivers -- Gilbert model -- continuum percolation -- connectivity; Ubiquitous computing -- Periodicals; Embedded computer systems -- Periodicals; Electronic data processing -- Distributed processing -- Periodicals; Wireless communication systems -- Periodicals; Computer architecture -- Periodicals; 004.2
• Languages: English
• ISSNs: 1743-8225

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.