Epidemic algorithms for replicated database maintenance
PODC '87 Proceedings of the sixth annual ACM Symposium on Principles of distributed computing
Randomized algorithms
SIAM Journal on Computing
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Gossip-Based Computation of Aggregate Information
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
On the communication complexity of randomized broadcasting in random-like graphs
Proceedings of the eighteenth annual ACM symposium on Parallelism in algorithms and architectures
On collaborative content distribution using multi-message gossip
Journal of Parallel and Distributed Computing
The power of memory in randomized broadcasting
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing
Optimal gossip-based aggregate computation
Proceedings of the twenty-second annual ACM symposium on Parallelism in algorithms and architectures
How efficient can gossip be? (on the cost of resilient information exchange)
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming: Part II
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We consider an extension of the well-known coupon collecting (CC) problem. In our model we have a player who is allowed to deterministically select one box per time step. The player plays against a random sequence of box choices r1, r2, . . . In each step, the contents of both boxes are merged. The goal of the player is to collect all coupons in one box (the standard model), or to have a copy of each coupon in all boxes. We consider three information models, depending on the knowledge of the random choices that the player has before he has to fix his deterministic choices: (i) full prior knowledge of the whole random sequence; (ii) knowledge of the random sequence up to the previous step (but not the current or any subsequent step); (iii) all decisions must be made in advance without any knowledge of the random sequence. Our main results are lower and asymptotically matching constructive upper bounds for all three models. We also show that network gossiping (similar in spirit to all-in-all CC) is asymptotically no harder than collecting coupons.