Abstract
We consider the problem of distributed deterministic broad- casting in radio networks. The network is synchronous. A node receives a message in a given round if and only if exactly one of its neighbors transmits. The source message has to reach all nodes. We assume that nodes do not know network topology or even their immediate neighbor- hood. We are concerned with two efficiency measures of broadcasting algorithms: its execution time (number of rounds), and its cost (number of transmissions). We focus our study on execution time of algorithms which have cost close to minimum.
We consider two scenarios depending on whether nodes know or do not know global parameters of the network: the number n of nodes and the eccentricity D of the source. Our main contribution are lower bounds on time of low-cost broadcasting which show sharp differences between these scenarios.
This research was done during the stay of Anders Dessmark at the Université du Québec à Hull as a postdoctoral fellow.
Andrzej Pelc was supported in part by NSERC grant OGP 0008136.
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Dessmark, A., Pelc, A. (2001). Deterministic Radio Broadcasting at Low Cost. In: Ferreira, A., Reichel, H. (eds) STACS 2001. STACS 2001. Lecture Notes in Computer Science, vol 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44693-1_14
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DOI: https://doi.org/10.1007/3-540-44693-1_14
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