Social Network Analysis and Mining

, Volume 2, Issue 1, pp 31–37 | Cite as

Positive influence dominating sets in power-law graphs

  • Wei Zhang
  • Weili Wu
  • Feng Wang
  • Kuai Xu
Original Article


Finding the minimum Positive Influence Dominating Set (PIDS) is a problem arisen from the social network applications. The problem has been studied on general random graphs. However, the social networks is presented more precisely by power-law graphs. One of the most important properties of social networks is the power-law degree distribution. In this paper, we focus on the PIDS problem in power-law graphs and prove that the greedy algorithm has a constant approximation ratio. Simulation results also demonstrate that greedy algorithm can effectively select a small scale PIDS set.


Social networks Positive influence dominating set problem Greedy algorithm Power-law distribution 



This work is supported in part by National Science Foundation under grants CNS1016320 and CCF0829993.


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Faculty of ScienceXi’an Jiaotong UniversityXi’anChina
  2. 2.Department of Computer ScienceUniversity of Texas at DallasRichardsonUSA
  3. 3.Division of Mathematical and Natural SciencesArizona State UniversityPhoenixUSA

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