Abstract
This paper has two parts. In the first part we give an alternative (and much simpler) proof for the best known lower bound of Ω(Dlog(N/D)) time-steps for randomized broadcasting in radio networks with unknown topology. In the second part we give an O(N log3 N)-time randomized algorithm for gossiping in such radio networks. This is an improvement over the fastest previously known algorithm that works intime O(N log4 N).
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Liu, D., Prabhakaran, M. (2002). On Randomized Broadcasting and Gossiping in Radio Networks. In: Ibarra, O.H., Zhang, L. (eds) Computing and Combinatorics. COCOON 2002. Lecture Notes in Computer Science, vol 2387. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45655-4_37
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DOI: https://doi.org/10.1007/3-540-45655-4_37
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