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

Ailian Wang (), Weili Wu () and Lei Cui ()
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Ailian Wang: Taiyuan University of Technology
Weili Wu: Taiyuan University of Technology
Lei Cui: University of Texas at Dallas

Journal of Combinatorial Optimization, 2016, vol. 31, issue 4, No 21, 1678-1684

Abstract: 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.

Keywords: Bharathi–Kempe–Salek conjecture; Influence maximization; In-arborescence; Independent cascade (IC) model; Linear threshold Model (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10878-016-9991-1

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