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The Semi-definite Programming Model for Optimizing Information Propagation Rate on Social Network Based on the Spectral Graph Theory

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Published:09 September 2022Publication History

ABSTRACT

In the study of online collaboration, one of the important aspects to optimize information propagation among users is to improve the rate of the propagation besides extending the propagation range, e.g., to deliver the advertisements to given target customers in shortest time or to inform a community in limited time. Due to the global optimization requirement, it is often challenging to optimize the propagation rate on a social network efficiently. Concerning the transition probability on each interpersonal relationship, we define information propagation as a random walk on a weighted directed graph, and indicate the propagation rate with the convergence rate of the random walk. Based on spectral graph theory, we further connect the convergence rate with the second smallest eigenvalue of the graph. Finally, by increasing the , a semi-definite programming model is proposed to globally optimize the information propagation rate more easily. Experimental results on real social network shows that the proposed solution can optimize the information propagation rate and further benefit the effectiveness of different typical influence diffusion models.

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    • Published in

      cover image ACM Other conferences
      ICBDC '22: Proceedings of the 7th International Conference on Big Data and Computing
      May 2022
      143 pages
      ISBN:9781450396097
      DOI:10.1145/3545801

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      Publication History

      • Published: 9 September 2022

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