Abstract
We consider radio networks modeled as directed graphs. In ad hoc radio networks, every node knows only its own label and a linear bound on the size of the network but is unaware of the topology of the network, or even of its own neighborhood. The fastest currently known deterministic broadcasting algorithm working for arbitrary n-node ad hoc radio networks, has running time O(n log2 n). Our main result is a broadcasting algorithm working in time O(n log n logD) for arbitrary nnode ad hoc radio networks of eccentricity D. The best currently known lower bound on broadcasting time in ad hoc radio networks is .(n logD), hence our algorithm is the first to shrink the gap between bounds on broadcasting time in radio networks of arbitrary eccentricity to a logarithmic factor. We also show a broadcasting algorithm working in time O(n logD) for complete layered n-node ad hoc radio networks of eccentricity D. The latter complexity is optimal.
This work was done during the first author’s stay at the Research Chair in Distributed Computing of the Université du Québec en Outaouais, as a postdoctoral fellow. The work of the second author was supported in part by NSERC grant OGP 0008136 and by the Research Chair in Distributed Computing of the Université du Québec en Outaouais.
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Kowalski, D.R., Pelc, A. (2003). Faster Deterministic Broadcasting in Ad Hoc Radio Networks. In: Alt, H., Habib, M. (eds) STACS 2003. STACS 2003. Lecture Notes in Computer Science, vol 2607. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36494-3_11
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DOI: https://doi.org/10.1007/3-540-36494-3_11
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