Fig 1.
Schematic diagram of multiplex network structure with overlapping links at different layers.
Fig 1(a) is a schematic diagram of a simple three-layer network, and the overlapping edges present in each network layer are marked in the same color in Fig 1(b).
Fig 2.
Example of all possible multilinks in a multiplex network with M = 2 layers and N = 5 nodes.
Fig 3.
Three-dimensional coordinate histogram of the change of structure information entropy by overlapping edges and overlapping edge connected nodes.
The X-axis, Y-axis, and Z-axis represent the number of overlapping edges, the number of overlapping edge connected nodes, and the network structure entropy of the combined layer of the multiplex network, respectively.
Table 1.
Structure entropy of different overlapping edges and overlapping edge connected nodes.
Table 2.
Four actual multiplex network node connection data.
Table 3.
Structure entropy of overlapping links between layers of aucs multiplex network.
Fig 4.
Three-dimensional coordinate scatter plot of aucs multiplex network.
The green projection points reflect is the relationship between the overlapping edges and entropy of the combined layers. The orange projection points represent the relationship between the overlapping edge connected nodes and the entropy of the combined layer.
Table 4.
Structure entropy of overlapping links between layers of tailor shop multiplex network.
Fig 5.
Three-dimensional coordinate scatter plot of tailor shop multiplex network.
The green scatter is the trend of the structure entropy about the overlapping edges. The blue scatter is the change in structure entropy with relation to the overlapping edge connected nodes. The red scatter is the correspondence between the overlapping edges and the overlapping edge connected nodes.
Table 5.
Structure entropy of overlapping links between layers of C. elegans multiplex network.
Fig 6.
Three-dimensional coordinate scatter plot of C. elegans multiplex network.
The green scatter shows that the structure entropy has a positive trend about the overlapping edges. The blue scatter shows that the structure entropy is linearly increasing with respect to the overlapping edge connected nodes.
Fig 7.
Three-dimensional coordinate scatter plot of 7thGraders multiplex network.
The green scatter shows that the structure entropy varies irregularly about the overlapping edges. The blue scatter shows that the structure entropy is positively correlated with the overlapping edge connected nodes.
Table 6.
Structure entropy of overlapping links between layers of 7thGraders multiplex network.