Abstract
Consider the classical problem of information dissemination: one (or more) nodes in a network have some information that they want to distribute to the remainder of the network. In this paper, we study the cost of information dissemination in networks where edges have latencies, i.e., sending a message from one node to another takes some amount of time. We first generalize the idea of to graphs, defining φ* to be the weighted conductance and l* to be the latency. One goal of this paper is to argue that φ* characterizes the connectivity of a graph with latencies in much the same way that characterizes the connectivity of unweighted graphs. We give near tight lower and upper bounds on the problem of information dissemination. Specifically, we show that in a graph with (weighted) diameter D (with latencies as weights), maximum degree Δ, φ* and critical latency l*, any information dissemination algorithm requires at least Ω(min(D+Δ, l*/φ*)) time. We then give nearly matching algorithms, showing that information dissemination can be solved in O(min((D + Δ)log3n), (l*/φ*)log(n)) time.
Published Version
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