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Adjustable reach in a network centrality based on current flows.

Aleks J Gurfinkel1, Per Arne Rikvold1,2

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Summary
This summary is machine-generated.

We introduce ground-current centrality, a novel network measure that offers a simpler, more intuitive ranking of node importance. It balances influence spread and path selection across diverse network structures.

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Area of Science:

  • Network theory
  • Graph analysis
  • Computational social science

Background:

  • Centrality measures quantify node importance in networks.
  • Existing measures offer flexibility via parameters like reach and grasp.
  • A classification of parametrized centralities reveals an absence of specific measure types.

Purpose of the Study:

  • To introduce a novel centrality measure, ground-current centrality.
  • To classify parametrized centralities based on reach and grasp parameters.
  • To address the lack of radial, reach-parametrized, acyclic conserved flow centralities.

Main Methods:

  • Developed a new centrality measure: ground-current centrality.
  • Classified parametrized centralities using reach and grasp parameters.
  • Compared ground-current centrality with existing measures on artificial and real-world networks.

Main Results:

  • Ground-current centrality has a simpler mathematical form than other conserved-flow centralities.
  • It provides robust, intuitive rank ordering across various network architectures.
  • It exhibits a balanced distribution of centrality values, avoiding delocalization and localization.

Conclusions:

  • Ground-current centrality fills a gap in the taxonomy of parametrized network centralities.
  • It offers a unique combination of properties, merging aspects of closeness and betweenness centrality.
  • This new measure provides a consistent and interpretable way to assess node importance in networks.