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Fig 1.

Persistence Diagram and Barcode of and for 150 random points on .

Regarding the left figure, the x-axis represents the birth and the y-axis the death of each topological feature. Regarding the right figure, the x-axis represents the birth and the death of each topological feature.

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Fig 2.

On the left: and of 10 points on .

On the center: the landscapes of the . On the right: the landscapes of the .

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Fig 3.

On the left and center: landscape number 4 and 69 respectively of the sphere experiment.

On the right: the average landscape.

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Fig 4.

On the top left: The planned trajectory for a Bilbao-Lisbon flight on the 21st July 2019. On the top right: The real trajectory the plane followed. At the bottom: Both trajectories displayed con the same map.

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Fig 5.

Point cloud of Santander’s airport on the 29th June 2019.

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Fig 6.

Average Persistence Landscape of Santander’s airport in the Summer Season of 2018.

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Fig 7.

Three resulting differences between daily persistence landscapes and the average persistence landscape.

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Fig 8.

The nine point clouds with persistence landscapes with biggest distance with respect to the average persistence landscape of Santander’s airport in the Summer Season of 2018.

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Fig 9.

On the left: Average Persistence landscape of Adolfo Suárez Madrid-Barjas’ airport on the Summer Season of 2018. On the right: Average Persistence landscape of Huesca-Pirineos’ airport on the Summer Season of 2018.

Check the difference in magnitude of the axes

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Table 1.

Distance matrix corresponding to the Group 3 - Airports with low traffic

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Table 2.

Distance matrix corresponding to the Group 2 (rows) and Group 3 - Airports with low traffic (columns) where we have remarked two columns: Girona’s and Vitorias’s airport respectively

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Table 3.

Distance matrix corresponding to the Group 2 airports where we have remarked the Zaragoza’s airport column and some close distances

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Table 4.

Distance matrix corresponding to the Group 2 (columns) and Group 1 (rows) with different marks

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Table 5.

Distance matrix corresponding to the Group 1 with Menorca’s airport highlighted

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Table 6.

Distance matrix corresponding to the Canary Group with different marks

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Table 7.

Distance matrix corresponding to the Special Group

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Table 8.

Distance matrix corresponding to the Special Group (columns) and the Group 1 (rows) with Palma’s airport (LEPA) highlighted

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Fig 10.

0- and 1-persistence diagrams of the net of Spanish airports in the Summer Season of 2018.

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Table 8.

Summary of the network used to compute centrality measures: the number of vertices remains constant each day, while the second and third columns provide the average and standard deviation of the number of edges in the directed graph of the Spanish airport network.

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