Rumor Spreading on Random Regular Graphs and Expanders

12 years 3 months ago
Rumor Spreading on Random Regular Graphs and Expanders
Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assume that initially one node in a given network holds some piece of information. In each round, every one of the informed nodes chooses independently a neighbor uniformly at random and transmits the message to it. The performance of the push model has been studied for several types of networks. One particular result [14] addressing its robustness and efficiency is the following. Suppose that the network is a random graph, where each edge appears independently with probability p = (ln n n ), i.e., the average degree is significantly larger that ln n. Then, regardless of the actual value of p, the broadcast time is (1 + o(1))C ln n, where C = 1 ln 2 + 1, with probability 1 - o(1). In other words, the number of rounds needed to broadcast the information is essentially the same on the complete graph, and on almost ...
Nikolaos Fountoulakis, Konstantinos Panagiotou
Added 26 Oct 2010
Updated 26 Oct 2010
Type Conference
Year 2010
Authors Nikolaos Fountoulakis, Konstantinos Panagiotou
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