Paolo Bartesaghi, Gian Paolo Clemente, Rosanna Grassi
arXiv 13 Jun 2022 · Econometrics · publishedPhysica A Statistical Mechanics and its Applications (2022) · 18 citations (OpenAlex)
arXiv:2206.06309 · PDF · DOI · OpenAlex · Extracted main text
In this paper, we provide novel definitions of clustering coefficient for weighted and directed multilayer networks. We extend in the multilayer theoretical context the clustering coefficients proposed in the literature for weighted directed monoplex networks. We quantify how deeply a node is involved in a choesive structure focusing on a single node, on a single layer or on the entire system. The coefficients convey several characteristics inherent to the complex topology of the multilayer network. We test their effectiveness applying them to a particularly complex structure such as the international trade network. The trade data integrate different aspects and they can be described by a directed and weighted multilayer network, where each layer represents import and export relationships between countries for a given sector. The proposed coefficients find successful application in describing the interrelations of the trade network, allowing to disentangle the effects of countries and sectors and jointly consider the interactions between them.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Clemente, G. P., & Grassi, R (2018) Directed clustering in weighted networks: a new perspective self | 1.000 | 5 | 3 | 100% |
| 2 | Fagiolo, G (2007) Clustering in complex directed networks | 1.000 | 5 | 3 | 100% |
| 3 | De Domenico, M., Solé-Ribalta, A., Cozzo, E., Kivelä, M., Moreno, Y.… (2013) Mathematical formulation of multilayer networks | 0.811 | 4 | 2 | 100% |
| 4 | Timmer, M., Dietzenbacher, E., Los, B., Stehrer, R., & de Vries, G. J (2015) An illustrated user guide to the world input–output database: the case of global automotive production | 0.737 | 3 | 2 | 100% |
| 5 | Bartesaghi, P., Clemente, G. P., & Grassi, R (2022) A tensor-based unified approach for clustering coefficients in financial multiplex networks self | 0.644 | 2 | 2 | 100% |
| 6 | Kivelä, M., Arenas, A., Barthelemy, M., Gleeson, J. P., Moreno, Y.,… (2014) Multilayer networks | 0.644 | 2 | 2 | 100% |
| 7 | Cozzo, E., Kivelä, M., De Domenico, M., Solé-Ribalta, A., Arenas, A.… (2015) Structure of triadic relations in multiplex networks | 0.511 | 2 | 1 | 100% |
| 8 | A. Alves, L. G., Mangioni, G., Rodrigues, F. A., Panzarasa, P., & Mo… (2018) Unfolding the complexity of the global value chain: Strength and entropy in the single-layer, multiplex, and multi-layer interna… | 0.405 | 1 | 1 | 100% |
| 9 | A. Alves, L. G., Mangioni, G., Cingolani, I., Rodrigues, F. A., Panz… (2019) The nested structural organization of the worldwide trade multi-layer network | 0.405 | 1 | 1 | 100% |
| 10 | A. Alves, L. G., Mangioni, G., Rodrigues, F. A., Panzarasa, P., & Mo… (2022) The rise and fall of countries in the global value chains | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 34 scored citations.