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Spectral influence in networks: an application to input-output analysis

Author

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  • Nizar Riane

    (Université Mohammed V de Rabat)

Abstract

This paper introduces the concepts of spectral influence and spectral cyclicality, both derived from the largest eigenvalue of a graph’s adjacency matrix. These two novel centrality measures capture both diffusion and interdependence from a local and global perspective respectively. We propose a new clustering algorithm that identifies communities with high cyclicality and interdependence, allowing for overlaps. To illustrate our method, we apply it to input-output analysis within the context of the Moroccan economy.

Suggested Citation

  • Nizar Riane, 2025. "Spectral influence in networks: an application to input-output analysis," Journal of Combinatorial Optimization, Springer, vol. 49(1), pages 1-43, January.
    • Handle: RePEc:spr:jcomop:v:49:y:2025:i:1:d:10.1007_s10878-024-01244-5
    DOI: 10.1007/s10878-024-01244-5
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