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On general threshold and general cascade models of social influence

Author

Listed:
  • Weili Wu

    (Taiyuan University of Technology
    University of Texas at Dallas)

  • Hongwei Du

    (Harbin Institute of Technology, Shenzhen Graduate School)

  • Huijuan Wang

    (Qingdao University)

  • Lidong Wu

    (University of Texas at Tyler)

  • Zhenhua Duan

    (Xidian University)

  • Cong Tian

    (Qingdao University)

Abstract

The information diffusion model is a very important factor in study of the influence maximization problem. This paper contains two notes. The first one is a simplified proof of Kempe–Kleinberg–Tadös conjecture on general threshold mode1 of social influence. The second one is on the verification of a condition in definition of general cascade model.

Suggested Citation

  • Weili Wu & Hongwei Du & Huijuan Wang & Lidong Wu & Zhenhua Duan & Cong Tian, 2018. "On general threshold and general cascade models of social influence," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 209-215, January.
    • Handle: RePEc:spr:jcomop:v:35:y:2018:i:1:d:10.1007_s10878-017-0165-6
    DOI: 10.1007/s10878-017-0165-6
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    References listed on IDEAS

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    1. Fisher, M.L. & Nemhauser, G.L. & Wolsey, L.A., 1978. "An analysis of approximations for maximizing submodular set functions," LIDAM Reprints CORE 341, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Fisher, M.L. & Nemhauser, G.L. & Wolsey, L.A., 1978. "An analysis of approximations for maximizing submodular set functions - 1," LIDAM Reprints CORE 334, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Qiufen Ni & Hongwei Du, 2021. "On strict submodularity of social influence," Journal of Combinatorial Optimization, Springer, vol. 41(2), pages 348-356, February.
    2. Abbas Salehi & Behrooz Masoumi, 2020. "KATZ centrality with biogeography-based optimization for influence maximization problem," Journal of Combinatorial Optimization, Springer, vol. 40(1), pages 205-226, July.
    3. Bin Liu & Yuxia Yan & Qizhi Fang & Junyu Dong & Weili Wu & Huijuan Wang, 2019. "Maximizing profit of multiple adoptions in social networks with a martingale approach," Journal of Combinatorial Optimization, Springer, vol. 38(1), pages 1-20, July.

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