electronics Article A Mathematical Study of Barcelona Metro Network Irene Mariñas-Collado 1 , Elisa Frutos Bernal 2 , Maria Teresa Santos Martin 3 , Angel Martín del Rey 4,* , Roberto Casado Vara 5 and Ana Belen Gil-González 5 1 Department of Statistics and Operations Research and Mathematics Didactics, University of Oviedo, 33007 Oviedo, Spain;
[email protected] 2 Department of Statistics, University of Salamanca, 37007 Salamanca, Spain;
[email protected] 3 Department of Statistics, Institute of Fundamental Physics and Mathematics, University of Salamanca, 37007 Salamanca, Spain;
[email protected] 4 Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, 37007 Salamanca, Spain 5 BISITE Research Group, University of Salamanca, 37007 Salamanca, Spain;
[email protected] (R.C.V.);
[email protected] (A.B.G.-G.) * Correspondence:
[email protected] Abstract: The knowledge of the topological structure and the automatic fare collection systems in urban public transport produce many data that need to be adequately analyzed, processed and presented. These data provide a powerful tool to improve the quality of transport services and plan ahead. This paper aims at studying, from a mathematical and statistical point of view, the Barcelona metro network; specifically: (1) the structural and robustness characteristics of the transportation network are computed and analyzed considering the complex network analysis; and (2) the common characteristics of the different subway stations of Barcelona, based on the passenger hourly entries, are identified through hierarchical clustering analysis. These results will be of great help in planning Citation: Mariñas-Collado, I.; Frutos and restructuring transport to cope with the new social conditions, after the pandemic.