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arXiv · 1807.06921

Time-Bounded Influence Diffusion with Incentives

Gennaro Cordasco·Luisa Gargano·Joseph Peters·Adele Anna Rescigno·Ugo Vaccaro
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Abstract

A widely studied model of influence diffusion in social networks represents the network as a graph $G=(V,E)$ with an influence threshold $t(v)$ for each node. Initially the members of an initial set $S\subseteq V$ are influenced. During each subsequent round, the set of influenced nodes is augmented by including every node $v$ that has at least $t(v)$ previously influenced neighbours. The general problem is to find a small initial set that influences the whole network. In this paper we extend this model by using \emph{incentives} to reduce the thresholds of some nodes. The goal is to minimize the total of the incentives required to ensure that the process completes within a given number of rounds. The problem is hard to approximate in general networks. We present polynomial-time algorithms for paths, trees, and complete networks.

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Gennaro Cordasco, Luisa Gargano, Joseph Peters, Adele Anna Rescigno, Ugo Vaccaro. 2018-07-18. Time-Bounded Influence Diffusion with Incentives. https://arxiv.org/abs/1807.06921

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