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The generalized influence blocking maximization problem.

Fernando C Erd1, André L Vignatti1, Murilo V G da Silva1

  • 1Federal University of Paraná, Curitiba, Brazil.

Social Network Analysis and Mining
|June 21, 2021
PubMed
Summary
This summary is machine-generated.

This study generalizes the influence blocking maximization problem to include node costs, finding that strategies effective against misinformation depend heavily on the cost function. Simple strategies like targeting high-degree nodes or random selection show surprising effectiveness.

Keywords:
Complex networksInfluence blocking maximizationMisinformation

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Area of Science:

  • Network science
  • Information diffusion
  • Computational social science

Background:

  • The influence blocking maximization problem aims to minimize misinformation spread by strategically selecting nodes for a competing information campaign.
  • Traditional models assume uniform node costs, which may not reflect real-world scenarios.

Purpose of the Study:

  • To investigate a generalized influence blocking maximization problem with varying node costs.
  • To analyze the impact of different cost functions on the effectiveness of counter-strategies.
  • To explore properties and approximation results for influence functions in various diffusion models.

Main Methods:

  • Formulated a generalized influence blocking maximization problem with a budget constraint.
  • Conducted experiments comparing strategies under different cost functions (uniform vs. degree-based).
  • Analyzed the correlation between optimal strategies and simple heuristics (greedy degree-based, random selection).
  • Investigated theoretical properties and approximation algorithms for influence functions.

Main Results:

  • The effectiveness of influence blocking strategies significantly depends on the chosen cost function.
  • Strategies that perform well under uniform costs differ substantially from those optimal for degree-based costs.
  • Both optimal strategies, despite their differences, correlate with simple heuristics: greedy high-degree node selection and random node selection.
  • Demonstrated properties and approximation results for influence functions across different diffusion models.

Conclusions:

  • Real-world influence blocking requires cost-aware strategies that adapt to varying node costs.
  • Simple heuristics can be surprisingly effective, providing a practical baseline for complex problems.
  • Understanding influence function properties is crucial for developing robust and efficient network interventions.