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On Bharathi–Kempe–Salek conjecture for influence maximization on arborescence

Author

Listed:
  • Ailian Wang

    (Taiyuan University of Technology)

  • Weili Wu

    (Taiyuan University of Technology
    University of Texas at Dallas)

  • Lei Cui

    (University of Texas at Dallas)

Abstract

Bharathi et al. (WINE, pp 306–311, 2007) conjectured that the influence maximization problem is NP-hard for arborescence directed into a root. In this note, we show that this conjecture is not true for deterministic diffusion model and linear threshold (LT) model, that is, there exist polynomial-time algorithms for the influence maximization problem in those two models on arborescence directed into a root. This means that if the conjecture in the independent cascade (IC) model is true, then it would give an interesting difference between the IC model and the LT model.

Suggested Citation

  • Ailian Wang & Weili Wu & Lei Cui, 2016. "On Bharathi–Kempe–Salek conjecture for influence maximization on arborescence," Journal of Combinatorial Optimization, Springer, vol. 31(4), pages 1678-1684, May.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:4:d:10.1007_s10878-016-9991-1
    DOI: 10.1007/s10878-016-9991-1
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    References listed on IDEAS

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    1. Lidan Fan & Zaixin Lu & Weili Wu & Yuanjun Bi & Ailian Wang & Bhavani Thuraisingham, 2014. "An individual-based model of information diffusion combining friends’ influence," Journal of Combinatorial Optimization, Springer, vol. 28(3), pages 529-539, October.
    2. Yuqing Zhu & Weili Wu & Yuanjun Bi & Lidong Wu & Yiwei Jiang & Wen Xu, 2015. "Better approximation algorithms for influence maximization in online social networks," Journal of Combinatorial Optimization, Springer, vol. 30(1), pages 97-108, July.
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    Cited by:

    1. Chuangen Gao & Shuyang Gu & Jiguo Yu & Hai Du & Weili Wu, 2022. "Adaptive seeding for profit maximization in social networks," Journal of Global Optimization, Springer, vol. 82(2), pages 413-432, February.
    2. Hemant Gehlot & Shreyas Sundaram & Satish V. Ukkusuri, 2023. "Algorithms for influence maximization in socio-physical networks," Journal of Combinatorial Optimization, Springer, vol. 45(1), pages 1-28, January.
    3. Zaixin Lu & Zhao Zhang & Weili Wu, 2017. "Solution of Bharathi–Kempe–Salek conjecture for influence maximization on arborescence," Journal of Combinatorial Optimization, Springer, vol. 33(2), pages 803-808, February.

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