SIAM Journal on Applied Mathematics
Epidemic algorithms for replicated database maintenance
PODC '87 Proceedings of the sixth annual ACM Symposium on Principles of distributed computing
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Probability and Computing: Randomized Algorithms and Probabilistic Analysis
Probability and Computing: Randomized Algorithms and Probabilistic Analysis
On the communication complexity of randomized broadcasting in random-like graphs
Proceedings of the eighteenth annual ACM symposium on Parallelism in algorithms and architectures
The power of memory in randomized broadcasting
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing
On randomized broadcasting in Star graphs
Discrete Applied Mathematics
On the runtime and robustness of randomized broadcasting
Theoretical Computer Science
Quasirandom Rumor Spreading: Expanders, Push vs. Pull, and Robustness
ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
Strong Robustness of Randomized Rumor Spreading Protocols
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
Broadcasting vs. mixing and information dissemination on Cayley graphs
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
On mixing and edge expansion properties in randomized broadcasting
ISAAC'07 Proceedings of the 18th international conference on Algorithms and computation
On the bit communication complexity of randomized rumor spreading
Proceedings of the twenty-second annual ACM symposium on Parallelism in algorithms and architectures
Quasirandom Rumor Spreading on the Complete Graph Is as Fast as Randomized Rumor Spreading
SIAM Journal on Discrete Mathematics
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
The worst case behavior of randomized gossip
TAMC'12 Proceedings of the 9th Annual international conference on Theory and Applications of Models of Computation
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We investigate the randomness requirements of the classical rumor spreading problem on fully connected graphs with n vertices. In the standard random protocol, where each node that knows the rumor sends it to a randomly chosen neighbor in every round, each node needs O((log n)2) random bits in order to spread the rumor in O(log n) rounds with high probability (w.h.p.). For the simple quasirandom rumor spreading protocol proposed by Doerr, Friedrich, and Sauerwald (2008), [log n] random bits per node are sufficient. A lower bound by Doerr and Fouz (2009) shows that this is asymptotically tight for a slightly more general class of protocols, the so-called gate-model. In this paper, we consider general rumor spreading protocols. We provide a simple push-protocol that requires only a total of O(n log log n) random bits (i.e., on average O(log log n) bits per node) in order to spread the rumor in O(log n) rounds w.h.p. We also investigate the theoretical minimal randomness requirements of efficient rumor spreading. We prove the existence of a (non-uniform) push-protocol for which a total of 2 log n + log log n + o(log log n) random bits suffice to spread the rumor in log n + ln n + O(1) rounds with probability 1 − o(1). This is contrasted by a simple time-randomness tradeoff for the class of all rumor spreading protocols, according to which any protocol that uses log n − log log n − ω(1) random bits requires ω(log n) rounds to spread the rumor.