Leverage Centrality


Leverage centrality considers the degree of a node relative to its neighbors and operates under the principle that a node in a network is central if its immediate neighbors rely on that node for information.
Leverage centrality is a measure of the relationship between the degree of a given node (ki) and the degree of each of its neighbors (kj), averaged over all neighbors (Ni), and is defined as shown below.
Leverage Centrality
A node with negative leverage centrality is influenced by its neighbors, as the neighbors connect and interact with far more nodes. A node with positive leverage centrality, on the other hand, influences its neighbors since the neighbors tend to have far fewer connections.



  • JOYCE, K. E., LAURIENTI, P. J., BURDETTE, J. H. & HAYASAKA, S. 2010. A new measure of centrality for brain networks. PLoS One, 5, e12200.


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