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In this paper, we study the complexity of gossip in an asynchronous, message-passing fault-prone distributed system. In short, we show that an adaptive adversary can significantly hamper the spreading of a rumor, while an oblivious adversary cannot. In the latter case, we present three randomized algorithms for achieving gossip, each offering a different trade-off between time and message complexity. We then show how to use these gossip algorithms to develop message-efficient asynchronous (randomized) consensus protocols.
Rachid Guerraoui, Jovan Komatovic, Manuel José Ribeiro Vidigueira
Giovanni De Micheli, Fereshte Mozafari Ghoraba