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    Identifying influential nodes in social networks is complex. This study introduces an effective framework using Bayesian networks and a novel Probability Transition Matrix (PTM) algorithm to efficiently find topic influencers.

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    Area of Science:

    • Social Network Analysis
    • Information Diffusion
    • Computational Social Science

    Background:

    • Users in social networks are influenced by groups of nodes, not just individuals.
    • Identifying the source of topic influence is a challenging NP-hard problem.

    Purpose of the Study:

    • To propose an effective framework for identifying influential nodes in topic propagation.
    • To develop an efficient algorithm for probability inference in social network influence.

    Main Methods:

    • Representing topic propagation using Bayesian networks.
    • Constructing a propagation model based on a variant of the voter model.
    • Developing the Probability Transition Matrix (PTM) algorithm for probability inference.

    Main Results:

    • The PTM algorithm demonstrates a complexity of O(θ(3)log2θ), where θ is the number of nodes.
    • Extensive experiments on real datasets validate the effectiveness and efficiency of the PTM algorithm.
    • The proposed framework successfully addresses the NP-hard problem of identifying influential nodes.

    Conclusions:

    • The PTM algorithm provides an effective and efficient solution for identifying influential nodes in social networks.
    • The framework offers a robust method for understanding and modeling topic spread.
    • This research contributes to the field of social network analysis and information diffusion studies.