Fig. 10From: Orientations and matrix function-based centralities in multiplex network analysis of urban public transportMarginal node Katz centrality plots of Düsseldorf with varying parameter \(\alpha\). The left figure corresponds to a local measure close to degree centrality, the right figure corresponds to a global measure close to eigenvector centrality, and the center figure corresponds to an interpolated intermediate situation. Central stops are marked red and non-central stops are marked blue. The entries in the supra-adjacency matrix are weighted with travel times and frequencies. The remaining hyper-parameters are chosen as \(\sigma =5\) and \(\Delta t_{\mathrm {transfer}}=15\). The street network in the background of the plots is created with the OSMnx python package (Boeing 2017)Back to article page