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arXiv · 2311.17040

Rumors with Changing Credibility

Charlotte Out·Nicolás Rivera·Thomas Sauerwald·John Sylvester
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Abstract

Randomized rumor spreading processes diffuse information on an undirected graph and have been widely studied. In this work, we present a generic framework for analyzing a broad class of such processes on regular graphs. Our analysis is protocol-agnostic, as it only requires the expected proportion of newly informed vertices in each round to be bounded, and a natural negative correlation property. This framework allows us to analyze various protocols, including PUSH, PULL, and PUSH-PULL, thereby extending prior research. Unlike previous work, our framework accommodates message failures at any time $t\geq 0$ with a probability of $1-q(t)$, where the credibility $q(t)$ is any function of time. This enables us to model real-world scenarios in which the transmissibility of rumors may fluctuate, as seen in the spread of ``fake news'' and viruses. Additionally, our framework is sufficiently broad to cover dynamic graphs.

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Charlotte Out, Nicolás Rivera, Thomas Sauerwald, John Sylvester. 2023-11-28. Rumors with Changing Credibility. https://arxiv.org/abs/2311.17040

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