Diffusive Metrics Induced by Random Affinities on Graphs. An Application to the Transport Systems Related to the COVID-19 Setting for Buenos Aires (AMBA)

Autores

  • M. F. Acosta Instituto de Matemática Aplicada del Litoral - IMAL
  • H. Aimar Instituto de Matemática Aplicada del Litoral - IMAL
  • I. Gómez Instituto de Matemática Aplicada del Litoral - IMAL
  • F. Morana Instituto de Matemática Aplicada del Litoral - IMAL

DOI:

https://doi.org/10.5540/tcam.2022.023.04.00783

Palavras-chave:

weighted graphs, diffusion, graph Laplacian, metrization, COVID-19

Resumo

The aim of this paper is to apply the diffusive metric technique defined by the spectral analysis of graph Laplacians to the set of the 41 cities belonging to AMBA, the largest urban concentration in Argentina, based on public transport and neighborhood. It could be expected that the propagation of any epidemic desease would follow the paths determined by those metrics. Our result reflects that the isolation measures decided by the health administration helped at the atenuation of the actual spread of COVID-19 in AMBA.

Biografia do Autor

M. F. Acosta, Instituto de Matemática Aplicada del Litoral - IMAL

CONICET, Postdoc

H. Aimar, Instituto de Matemática Aplicada del Litoral - IMAL

CONICET, Researcher

I. Gómez, Instituto de Matemática Aplicada del Litoral - IMAL

CONICET, Researcher

F. Morana, Instituto de Matemática Aplicada del Litoral - IMAL

Postdoc

Referências

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M. F. Acosta, H. Aimar, and I. Gómez, On Frink’s type metrization of weighted graphs, Asian Research Journal of Mathematics, vol.17, pp.26-37, 2021.

M. M. Bronstein, J. Bruna, Y. LeCun, A. Szlam, and P. Vandergheynst, Geometric deep learning: going beyond Euclidean data, IEEE Signal Processing Magazine, vol.34, no.4, pp.18-42, 2017.

Argentina Public COVID-19 data available in: https://covidstats.com.ar

D. Brockmann and D. Helbing, The hidden geometry of complex, networkdriven contagion phenomena, Science 342, 1337, 2013.

Y. Murano, R. Ueno, S. Shi, T. Kawashima, Y. Tanoue, S. Tanaka, S. Nomura, H. Shoji, T. Shimizu, H. Nguyen, H. Miyata, S. Gilmour and D. Yoneoka, Impact of domestic travel restrictions on transmission of COVID-19 infection using

public transportation network approach, Sci Rep 11, 3109, 2021.

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Publicado

2022-11-08

Como Citar

Acosta, M. F., Aimar, H., Gómez, I., & Morana, F. (2022). Diffusive Metrics Induced by Random Affinities on Graphs. An Application to the Transport Systems Related to the COVID-19 Setting for Buenos Aires (AMBA). Trends in Computational and Applied Mathematics, 23(4), 783–799. https://doi.org/10.5540/tcam.2022.023.04.00783

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Seção

Artigo Original