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Efficient Communication in Unknown Networks

Luisa Gargano 1 Andrzej Pelc Stéphane Pérennes Ugo Vaccaro
1 SLOOP - Simulation, Object Oriented Languages and Parallelism
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - COMRED - COMmunications, Réseaux, systèmes Embarqués et Distribués
Abstract : We consider the problem of disseminating messages in networks whose topology and size are not known to nodes. Three communication tasks of increasing difficulty are studied. In blind broadcasting (BB) the goal is to communicate the source message to all nodes. In acknowledged blind broadcasting (ABB) the goal is to achieve BB and inform the source about it. Finally, in full synchronization (FS) all nodes must simultaneously enter the state terminated after receiving the source message. We show that BB is achieved in time at most $2n$ in any $n$-node network and show networks in which time $2n-o(n)$ is needed. For ABB we show algorithms working in time $(2+\epsi- lon)n$, for any fixed positive constant $\epsilon$ and sufficiently large $n$. Using large messages, the source can additionally learn the entire topology of the network and time can be reduced to $2n$. Finally, we show a simple algorithm for FS working in time $3n$, and indicate how this time can be slightly reduced using large messages. The optimal time of full synchronization remains an open problem. This is the first paper devoted to the study of deterministic communication under network ignorance scenario.
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https://hal.inria.fr/inria-00073069
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 11:44:16 AM
Last modification on : Monday, October 12, 2020 - 10:30:26 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:33:15 PM

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Luisa Gargano, Andrzej Pelc, Stéphane Pérennes, Ugo Vaccaro. Efficient Communication in Unknown Networks. RR-3609, INRIA. 1999. ⟨inria-00073069⟩

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