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Leverage Centrality
Definition
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.
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.
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.
Software
References
- JOYCE, K. E., LAURIENTI, P. J., BURDETTE, J. H. & HAYASAKA, S. 2010. A new measure of centrality for brain networks. PLoS One, 5, e12200.