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Network partitioning algorithms as cooperative games.

Konstantin E Avrachenkov1, Aleksei Y Kondratev2,3, Vladimir V Mazalov3,4

  • 11Inria Sophia Antipolis, 2004 Route des Lucioles, 06902 Valbonne, France.

Computational Social Networks
|November 13, 2018
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Summary
This summary is machine-generated.

This study introduces game-theoretic methods for network community detection, using cooperative game theory to reveal cluster formation mechanisms beyond simple link density. It offers intuitive resolution tuning and efficient computation for detecting network communities.

Keywords:
Community detectionCooperative gameGibbs samplingHedonic gameMyerson valueNetwork partitioning

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Area of Science:

  • Network Science
  • Game Theory
  • Computational Social Science

Background:

  • Traditional community detection methods focus on subgraph density.
  • Understanding cluster formation mechanisms is crucial for network analysis.

Purpose of the Study:

  • To apply cooperative game theory for enhanced community detection in networks.
  • To introduce novel methods based on Myerson value and hedonic games.
  • To provide an intuitive framework for tuning community detection resolution.

Main Methods:

  • Application of cooperative game theory, specifically Myerson value and hedonic games.
  • Analysis of cluster formation mechanisms and link density.
  • Development of an efficient computational scheme using Gibbs sampling for potential hedonic games.

Main Results:

  • Two game-theoretic approaches for community detection are proposed.
  • Both methods effectively detect clusters at various resolutions.
  • Hedonic games framework unifies existing methods like modularity, ratio cut, and normalized cut.
  • An efficient computational scheme is presented for potential hedonic games.

Conclusions:

  • Game-theoretic methods offer a powerful alternative for network community detection.
  • Cooperative game theory provides insights into cluster formation beyond density.
  • Hedonic games present a flexible and unified approach to community detection.