# Combining of Existing Centrality Measures

#### Definition

To identify the inﬂuential nodes of diﬀerent networks, diﬀerent centrality measures should be taken into account according to the characteristics of the network. So a new method is proposed to identify inﬂuential nodes based on combining the existing centrality measures.The proposed method can aggregate multiple centrality measures from diﬀerent aspects to make the assessment

$$r_i=median\left\{ r_u^i,r_l^i\right\}$$

where $r_i$ denotes the ﬁnal ranking of each node, $r_u^i$ represents the maximum ranking of node $i$, and $r_l^i$ represents the minimum ranking of node $i$.

$$r_i=median\left\{ r_u^i,r_l^i\right\}$$

where $r_i$ denotes the ﬁnal ranking of each node, $r_u^i$ represents the maximum ranking of node $i$, and $r_l^i$ represents the minimum ranking of node $i$.

#### References

- Fei L., Mo H., Deng Y., 2017. A new method to identify influential nodes based on combining of existing centrality measures. Modern Physics Letters B, 31(26). DOI: 10.1142/S0217984917502438