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Measuring node centrality when local and global measures overlap.

Lorenzo Costantini1, Carla Sciarra1, Luca Ridolfi1

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Summary
This summary is machine-generated.

The Generalized Economic Complexity index (GENEPY) offers new insights into node centrality in networks with high spectral gaps. This method provides information distinct from simple node degree, enhancing network analysis.

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Area of Science:

  • Network Science
  • Complex Systems Analysis
  • Economic Network Theory

Background:

  • Centrality metrics identify key nodes in networks, with existing measures focusing on local or global characteristics.
  • In networks with a high spectral gap, traditional global centrality measures often provide limited additional information beyond the basic node degree.

Purpose of the Study:

  • To introduce and evaluate the Generalized Economic Complexity index (GENEPY) as a novel centrality measure for networks with high spectral gaps.
  • To demonstrate GENEPY's applicability across diverse network types, including monopartite and bipartite systems.
  • To show that GENEPY captures centrality information not well-correlated with node degree.

Main Methods:

  • Application of the Generalized Economic Complexity index (GENEPY) to network analysis.
  • Testing GENEPY on both synthetic and real-world network datasets.
  • Comparative analysis of GENEPY results against traditional node degree metrics.

Main Results:

  • GENEPY effectively extracts meaningful centrality information from networks exhibiting a high spectral gap.
  • The index proves versatile, applicable to various network structures (monopartite and bipartite).
  • GENEPY-derived centrality is generally poorly correlated with node degree, offering complementary insights.

Conclusions:

  • The Generalized Economic Complexity index (GENEPY) is a valuable tool for analyzing node centrality in specific network types.
  • GENEPY overcomes limitations of standard centrality measures in networks with high spectral gaps.
  • This index expands the analytical toolkit for network science and related fields.