<p>In this paper, we investigate the positive influence dominating set with bi-directional weighted constraint in social networks, which has practical applications in social networks. We prove that finding the minimum positive influence dominating sets with bi-directional weighted constraint is NP-hard in terms of computational complexity. We design an approximation algorithm for finding the minimum positive influence dominating sets with bi-directional weighted constraint and provide a theoretical analysis of the approximation ratio yielded by our proposed algorithm.</p>

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On positive influence dominating sets with bi-directional weighted constraint in social networks

  • Qi Zhang,
  • Hao Zhong

摘要

In this paper, we investigate the positive influence dominating set with bi-directional weighted constraint in social networks, which has practical applications in social networks. We prove that finding the minimum positive influence dominating sets with bi-directional weighted constraint is NP-hard in terms of computational complexity. We design an approximation algorithm for finding the minimum positive influence dominating sets with bi-directional weighted constraint and provide a theoretical analysis of the approximation ratio yielded by our proposed algorithm.