The Threshold Behaviour of the Fixed Radius Random Graph Model and Applications to the Key Management Problem of Sensor Networks

  • V. Liagkou
  • E. Makri
  • P. Spirakis
  • Y. C. Stamatiou
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4240)


In this paper we study the threshold behavior of the fixed radius random graph model and its applications to the key management problem of sensor networks and, generally, for mobile ad-hoc networks. We show that this random graph model can realistically model the placement of nodes within a certain region and their interaction/sensing capabilities (i.e. transmission range, light sensing sensitivity etc.). We also show that this model can be used to define key sets for the network nodes that satisfy a number of good properties, allowing to set up secure communication with each other depending on randomly created sets of keys related to their current location. Our work hopes to inaugurate a study of key management schemes whose properties are related to properties of an appropriate random graph model and, thus, use the rich theory developed in the random graph literature in order to transfer “good” properties of the graph model to the key sets of the nodes.


Sensor Network Random Graph Network Node Threshold Behaviour 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-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • V. Liagkou
    • 1
    • 2
  • E. Makri
    • 4
  • P. Spirakis
    • 1
    • 2
  • Y. C. Stamatiou
    • 2
    • 3
  1. 1.Department of computer EngineeringUniversity of PatrasRio, PatrasGreece
  2. 2.Mathematics DepartmentIoanninaGreece
  3. 3.Research and Academic Computer Technology Institute, N. KazantzakiUniversity of PatrasRio, PatrasGreece
  4. 4.Department of MathematicsUniversity of the AegeanKarlovassi, SamosGreece

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