Document Type

Article

Publication Date

11-10-2025

Publisher

Association for Computing Machinery

Abstract

The influence estimation and maximization problems study the expected reach of a seed set in social networks under a stochastic propagation model. Motivated by the practical utility of characterizing the distribution of reach values, we systematically analyze the tail behaviour of the reach of a seed set. We study tail bound query problems that, for a given seed set, compute either the maximum reach for a given probability threshold or the highest probability of achieving a target reach. We prove #P-hardness and propose algorithms that balance efficiency and accuracy. We also examine tail bound optimization problems that find a seed set maximizing reach for a target probability or maximizing the probability of achieving a target reach, and establish strong inapproximability results.

Experiments on real datasets demonstrate the effectiveness of our algorithms, showing that good approximations of the actual reach for a desired probability can be computed efficiently and that the actual reach can be very different from the expected reach.

Comments

Open access to this article is funded by Santa Clara University Library.

This work is licensed under a Creative Commons Attribution International 4.0 License.

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