Low Randomness Rumor Spreading via Hashing

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Low Randomness Rumor Spreading via Hashing
We consider the classical rumor spreading problem, where a piece of information must be disseminated from a single node to all n nodes of a given network. We devise two simple push-based protocols, in which nodes choose the neighbor they send the information to in each round using pairwise independent hash functions, or a pseudo-random generator, respectively. For several well-studied topologies our algorithms use exponentially fewer random bits than previous protocols. For example, in complete graphs, expanders, and random graphs only a polylogarithmic number of random bits are needed in total to spread the rumor in O(log n) rounds with high probability. Previous explicit algorithms, e.g., [6, 10, 15, 17], require Ω(n) random bits to achieve the same round complexity. For complete graphs, the amount of randomness used by our hashing-based algorithm is within an O(log n)-factor of the theoretical minimum determined by Giakkoupis and Woelfel [15]. 1998 ACM Subject Classification G.3...
George Giakkoupis, Thomas Sauerwald, He Sun, Phili
Added 25 Apr 2012
Updated 25 Apr 2012
Type Journal
Year 2012
Authors George Giakkoupis, Thomas Sauerwald, He Sun, Philipp Woelfel
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