Critical Density Thresholds in Distributed Wireless Networks

  • Bhaskar Krishnamachari
  • Stephen B. Wicker
  • Rámon Béjar
  • Marc Pearlman
Chapter
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 712)

Abstract

Experimental and analytical results showing “zero-one” phase transitions for network connectivity, multi-path reliability, neighbor count, Hamiltonian cycle formation, multiple-clique formation, and probabilistic flooding are presented. These transitions are characterized by critical density thresholds such that a global property exists with negligible probability on one side of the threshold, and exists with high probability on the other. The connections between these phase transitions and some known results on random graphs are discussed, and their significance for the design of resource-efficient wireless networks is indicated.

Keywords

Wireless Network Random Graph Hamiltonian Cycle Network Security Random Graph Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Bhaskar Krishnamachari
    • 1
  • Stephen B. Wicker
    • 1
  • Rámon Béjar
    • 1
  • Marc Pearlman
    • 1
  1. 1.Cornell UniversityIthacaUSA

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