Optimal gossiping in geometric radio networks in the presence of dynamical faults

  • Authors:
  • Andrea Clementi;Angelo Monti;Francesco Pasquale;Riccardo Silvestri

  • Affiliations:
  • Dipartimento di Ingegneria dell'Impresa, Università di Roma “Tor Vergata”, Italy;Dipartimento di Informatica, “Sapienza” Università di Roma, Italy;Dipartimento di Informatica “R. M. Capocelli”, Università di Salerno, Italy;Dipartimento di Informatica, “Sapienza” Università di Roma, Italy

  • Venue:
  • Networks
  • Year:
  • 2012

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Abstract

We study deterministic fault-tolerant gossiping protocols in geometric radio networks. Node and link faults may happen during every time-slot of the protocol's execution. We first consider the model where every node can send at most one message per time-slot. We provide a protocol that completes gossiping in O(nΔ) time (where n is the number of nodes and Δ is the maximal in-degree) and has message complexity O(n2). Both bounds are then shown to be optimal. Second, we consider the model where messages can be arbitrarily combined and sent in one time-slot. We give a protocol working in optimal completion time O(DΔ) (where D is the maximal source eccentricity) and message complexity O(Dn). © 2012 Wiley Periodicals, Inc. NETWORKS, Vol. 2012 © 2012 Wiley Periodicals, Inc. (The results of this work have been presented at the 32nd International Symposium on Mathematical Foundations of Computer Science (MFCS'07).)