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

Authors

  • 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

Keywords:

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

Abstract

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.

Author Biographies

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

References

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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.

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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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Published

2022-11-08

How to Cite

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

Issue

Section

Original Article