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. Author manuscript; available in PMC: 2021 Jul 18.
Published in final edited form as: J Indian Inst Sci. 2019 Jun;99(2):237–246. doi: 10.1007/s41745-019-0103-y

Table 1.

Centrality measures for monoplex networks. For detailed description of these measures and many others, please refer32

Centrality measure Centrality of node i Description
Eigenvector centrality
xi=λ1jAijxj
λ is the leading eigenvalue
PageRank centrality
xi=αjAijxjkj
α is a scalar and kj is the degree of node j
HITS centrality (authority)
xi=αjAijyj
α is a scalar and yj is the hub centrality of node j
HITS centrality (hub)
yi=αjAijxj
α is a scalar and xj is the authority centrality of node j
Betweenness centrality
xi=stnstigst
ni st is the # of shortest paths between sandt that go through i. gst is the total # of shortest paths between nodes sand t