Table 1.
Overview of typical indicators.
Figure 1.
The performance of single indicator in evaluating the importance and the role of nodes of a double-star network.
Table 2.
The Pearson correlation coefficients of 10 indicators and 3 ego indicators.
Table 3.
The Spearman correlation coefficients of 10 indicators and 3 ego indicators.
Table 4.
The overview of the indicator selection process.
Table 5.
The pseudocode of RUMI.
Figure 2.
The process of role identification of RUMI of the double-star network, where a red node represents a core node and a green node represents a bridge node.
Table 6.
The overview of networks and the results of role identification.
Table 7.
Comparison the Top 10 results of ego-EIMI with the prior knowledge of trade value of different goods, where the country name with the blue and italics font of ego-EIMI appears in the TOP 10 of trade value too.
Figure 3.
Comparison of the ranking result of EIMI with that of PageRank and HITS for 15 small networks.
The importance of a node computed by global-EIMI, ego-EIMI, HITS and PageRank is separately colored with green, blue, purple and red.
Figure 4.
Comparison of the ranking result of EIMI with that of PageRank and HITS for 4 large networks.
The importance of a node computed by global-EIMI, ego-EIMI, HITS and PageRank is separately colored with green, blue, purple and red. The top-right small figure compares the importance of the TOP 100 nodes of PageRank with that of other methods. the straight lines in the bottom-left big figure shows the lowest importance value of these TOP 100 nodes, which is computed by global-EIMI, ego-EIMI respectively.
Figure 5.
Performance of EIMI under different indicator selections of the series world_trade networks with trade value as the ground truth, and the adjnoun, karate, ythan and polbooks networks with the result of PageRank for comparison, where the shape and color of a node correspond to its importance under different indicator selections.
Figure 6.
Role identification results of 15 networks of global-RUMI, where a red node represents a core node, a green node represents a bridge node and the size of a node corresponding to its importance decided by EIMI.
Figure 7.
Comparison of Role identification results of RUMI with that of ref. [38].
According to the process of ref. [38], the karate, polbooks and dolphin networks that have clear community structure are selected.