Fig. 3: Visualization and correlation analysis of the ranking of five centrality indicators.
From: Identifying key players in complex networks via network entanglement
The physicist collaboration network is taken as an example. a–e The colors of vertices are proportional to the normalized values of the indicators. Here, min-max normalization is adopted. Since the values of VE are negative and smaller values of VE correspond to more important nodes, we perform an additional operation of taking the opposite of VE before normalizing it. This transformation is solely intended to ensure consistent interpretation across all metrics, where higher values indicate greater importance of nodes. f visualizes the pairwise Pearson correlation, with letters a–e in the abscissa and ordinate representing Degree, Coreness, CNE, Betweenness, and the opposite value of vertex entanglement, respectively. a–c illustrate that the vital nodes are tightly interconnected with each other, forming clusters in specific regions of the network. In contrast, d, e show a different pattern, where significant nodes are dispersed throughout the network, and in (e), the vital nodes are more evenly distributed than in (d).
