Optimal Gossiping in Directed Geometric Radio Networks in Presence of Dynamical Faults

(Extended Abstract)
  • Andrea E. F. Clementi
  • Angelo Monti
  • Francesco Pasquale
  • Riccardo Silvestri
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4708)


We study deterministic fault-tolerant gossiping protocols in directed Geometric Radio Networks (in short, directed GRN). Unpredictable node and link faults may happen during every time slot of the protocol’s execution.

We first consider the single-message model where every node can send at most one message per time slot. We provide a protocol that, in any directed GRN G of n nodes, completes gossiping in O(n Δ) time (where Δ is the maximal in-degree of G) and has message complexity O(n 2). Both bounds are then shown to be optimal.

As for the combined-message model, we give a protocol working in optimal completion time O() (where D is the maximal source eccentricity) and message complexity O(Dn). Finally, our protocol performs the (single) broadcast operation within the same optimal time and optimal message complexity O(n).


Time Slot Completion Time Message Complexity Unit Disk Graph Dynamical Fault 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Andrea E. F. Clementi
    • 1
  • Angelo Monti
    • 2
  • Francesco Pasquale
    • 1
  • Riccardo Silvestri
    • 2
  1. 1.Dipartimento di Matematica, Università di Roma “Tor Vergata” 
  2. 2.Dipartimento di Informatica, Università di Roma “La Sapienza” 

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