Approximation and learning-based algorithms for influence maximization in multilayer social networks

Publication Type

Conference Proceeding Article

Version

publishedVersion

Publication Date

8-2026

Abstract

Motivated by the observation that users in the real world often engage across multiple social networks simultaneously, we study the problem of influence maximization in multilayer social networks (Mlim), aiming to select a small set of nodes that maximizes the total influence spread across all layers. To this end, we introduce a hybrid propagation model that jointly captures layer-specific diffusion dynamics and probabilistic cross-layer propagation. Based on this model, we formally define the Mlim problem and establish its NP-hardness, monotonicity, and submodularity. To address the Mlim problem, we first propose a greedy baseline Mlim-Greedy, which achieves a (1-1/e) approximation. Since exact influence computation in Mlim-Greedy is #P-hard,we propose STARIM, a scalable algorithm with layer-weighted influence sampling that guarantees a (1 - 1/e - ��) approximation. To further enhance efficiency, we design LGQIM, a two-stage framework where multilayer representation learning predicts influence spread from network structure, enabling deep reinforcement learning for adaptive seed selection. Extensive experiments on nine real-world datasets demonstrate that (1) STARIM is up to 2 orders of magnitude faster than the baselines while yielding 10%-30% improvement in influence spread, and (2) LGQIM further achieves an average 10× speedup over STARIM while maintaining comparable influence spread.

Keywords

Influence maximization, Multilayer social networks, Theoretical analysis, Graph embedding, Deep reinforcement learning

Discipline

Artificial Intelligence and Robotics | Databases and Information Systems

Research Areas

Intelligent Systems and Optimization

Areas of Excellence

Digital transformation

Publication

KDD '26: Proceedings of the 32nd ACM SIGKDD Conference on Knowledge Discovery and Data Mining V.2, Jeju Island, South Korea, August 9-13

First Page

354

Last Page

365

Identifier

10.1145/3770855.3817870

Publisher

ACM

City or Country

New York

Additional URL

https://doi.org/10.1145/3770855.3817870

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