Economic Complexity in Mono-Partite Networks

Fuente: arXiv
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Main Authors: Servedio, Vito D. P., Bellina, Alessandro, Calò, Emanuele, De Marzo, Giordano
Format: Preprint
Published: 2024
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author Servedio, Vito D. P.
Bellina, Alessandro
Calò, Emanuele
De Marzo, Giordano
author_facet Servedio, Vito D. P.
Bellina, Alessandro
Calò, Emanuele
De Marzo, Giordano
contents Initially designed to predict and explain the economic trajectories of countries, cities, and regions, economic complexity has been found applicable in diverse contexts such as ecology and chess openings. The success of economic complexity stems from its capacity to assess hidden capabilities within a system indirectly. The existing algorithms for economic complexity operate only when the underlying interaction topology conforms to a bipartite graph. A single link disrupting the bipartite structure renders these algorithms inapplicable, even if the weight of that link is tiny compared to others. This paper presents a novel extension of economic complexity to encompass any graph, overcoming the constraints of bipartite structures. Additionally, it introduces fitness centrality and orthofitness centrality as new centrality measures in graphs. Fitness Centrality emerges as a promising metric for assessing node vulnerability, akin to node betweenness centrality. Furthermore, we unveil the cost functions that drive the minimization procedures underlying the economic complexity index and fitness centrality algorithms. This extension broadens the scope of economic complexity analysis, enabling its application in diverse network structures beyond bipartite graphs.
format Preprint
id arxiv_https___arxiv_org_abs_2405_04158
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Economic Complexity in Mono-Partite Networks
Servedio, Vito D. P.
Bellina, Alessandro
Calò, Emanuele
De Marzo, Giordano
Physics and Society
Applied Physics
Initially designed to predict and explain the economic trajectories of countries, cities, and regions, economic complexity has been found applicable in diverse contexts such as ecology and chess openings. The success of economic complexity stems from its capacity to assess hidden capabilities within a system indirectly. The existing algorithms for economic complexity operate only when the underlying interaction topology conforms to a bipartite graph. A single link disrupting the bipartite structure renders these algorithms inapplicable, even if the weight of that link is tiny compared to others. This paper presents a novel extension of economic complexity to encompass any graph, overcoming the constraints of bipartite structures. Additionally, it introduces fitness centrality and orthofitness centrality as new centrality measures in graphs. Fitness Centrality emerges as a promising metric for assessing node vulnerability, akin to node betweenness centrality. Furthermore, we unveil the cost functions that drive the minimization procedures underlying the economic complexity index and fitness centrality algorithms. This extension broadens the scope of economic complexity analysis, enabling its application in diverse network structures beyond bipartite graphs.
title Economic Complexity in Mono-Partite Networks
topic Physics and Society
Applied Physics
url https://arxiv.org/abs/2405.04158