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A new approach to the design and analysis of peer-to-peer mobile networks

Published: 01 May 1999 Publication History

Abstract

This paper introduces a new model and methodological approach for dealing with the probabilistic nature of mobile networks based on the theory of random graphs. Probabilistic dependence between the random links prevents the direct application of the theory of random graphs to communication networks. The new model, termed Random Network Model, generalizes conventional random graph models to allow for the inclusion of link dependencies in a mobile network. The new Random Network Model is obtained through the superposition of Kolmogorov complexity and random graph theory, making in this way random graph theory applicable to mobile networks. To the best of the authors' knowledge, it is the first application of random graphs to the field of mobile networks and a first general modeling framework for dealing with ad-hoc network mobility. The application of this methodology makes it possible to derive results with proven properties. The theory is demonstrated by addressing the issue of the establishment of a connected virtual backbone among mobile clusterheads in a peer-to-peer mobile wireless network. Using the Random Network Model, we show that it is possible to construct a randomized distributed algorithm which provides connectivity with high probability, requiring exponentially fewer connections (peer-to-peer logical links) per clusterhead than the number of connections needed for an algorithm with a worst case deterministic guarantee.

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  • (2015)Mobility Models, Traces and Impact of Mobility on Opportunistic Routing Algorithms: A SurveyIEEE Communications Surveys & Tutorials10.1109/COMST.2015.241981917:3(1679-1707)Online publication date: 20-Aug-2015
  • (2011)Connectivity model of wireless networks via dependency links random graphsThe Journal of Supercomputing10.1007/s11227-010-0529-558:1(122-141)Online publication date: 1-Oct-2011
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  1. A new approach to the design and analysis of peer-to-peer mobile networks

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      cover image Wireless Networks
      Wireless Networks  Volume 5, Issue 3
      May 1999
      79 pages
      ISSN:1022-0038
      Issue’s Table of Contents

      Publisher

      Springer-Verlag

      Berlin, Heidelberg

      Publication History

      Published: 01 May 1999

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      • (2022)SEALEA: Scalable and Energy Aware k-Leaders Election Algorithm in IoT Wireless Sensor NetworksWireless Personal Communications: An International Journal10.1007/s11277-022-09547-8125:1(209-229)Online publication date: 1-Jul-2022
      • (2015)Mobility Models, Traces and Impact of Mobility on Opportunistic Routing Algorithms: A SurveyIEEE Communications Surveys & Tutorials10.1109/COMST.2015.241981917:3(1679-1707)Online publication date: 20-Aug-2015
      • (2011)Connectivity model of wireless networks via dependency links random graphsThe Journal of Supercomputing10.1007/s11227-010-0529-558:1(122-141)Online publication date: 1-Oct-2011
      • (2011)Minimum power multicasting in wireless networks under probabilistic node failuresComputational Optimization and Applications10.1007/s10589-009-9281-249:1(193-212)Online publication date: 1-May-2011
      • (2010)Mobile ad hoc backbonesProceedings of the 2010 IEEE conference on Radio and wireless symposium10.5555/1824406.1824579(613-616)Online publication date: 10-Jan-2010
      • (2009)Multi-hop scatternet formation and routing for large scale Bluetooth networksInternational Journal of Ad Hoc and Ubiquitous Computing10.1504/IJAHUC.2009.0274764:5(251-268)Online publication date: 1-Jul-2009
      • (2009)Energy penalties for non-shortest paths in wireless sensor networks with link failuresProceedings of the 2009 International Conference on Wireless Communications and Mobile Computing: Connecting the World Wirelessly10.1145/1582379.1582441(279-285)Online publication date: 21-Jun-2009
      • (2009)The availability and reliability of wireless multi-hop networks with stochastic link failuresIEEE Journal on Selected Areas in Communications10.1109/JSAC.2009.09091027:7(1132-1146)Online publication date: 1-Sep-2009
      • (2009)A Survey on One-Hop Clustering Algorithms in Mobile Ad Hoc NetworksJournal of Network and Systems Management10.1007/s10922-009-9123-717:1-2(183-207)Online publication date: 1-Jun-2009
      • (2007)Blue pleiades, a new solution for device discovery and scatternet formation in multi-hop bluetooth networksWireless Networks10.1007/s11276-006-1304-713:1(107-125)Online publication date: 1-Jan-2007
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