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

Nizar Riane ()
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Nizar Riane: Université Mohammed V de Rabat

Journal of Combinatorial Optimization, 2025, vol. 49, issue 1, No 13, 43 pages

Abstract: 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.

Keywords: Spectral influence; Spectral cyclicality; Cyclicality clustering; Input-output analysis; 05C20; 05C38; 05C85; 05C90 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10878-024-01244-5

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