Rumor Spreading on Percolation Graphs
Abstract
We study the relation between the performance of the randomized rumor spreading (push model) in a d-regular graph G and the performance of the same algorithm in the percolated graph Gp. We show that if the push model successfully broadcast the rumor within T rounds in the graph G then only (1 + ε)T rounds are needed to spread the rumor in the graph Gp when T = o(pd).
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