Calculates the leverage centrality of each vertex in a graph.
centr_lev(g, A = NULL)A vector of the leverage centrality for all vertices.
An igraph graph object
Numeric matrix; the adjacency matrix of the input graph. Default:
NULL
Christopher G. Watson, cgwatson@bu.edu
The leverage centrality relates a vertex's degree with the degree of its neighbors. The equation is: $$l_i = \frac{1}{k_i} \sum_{j \in N_i} \frac{k_i - k_j}{k_i + k_j}$$ where \(k_i\) is the degree of the \(i^{th}\) vertex and \(N_i\) is the set of neighbors of i. This function replaces NaN with NA (for functions that have the argument na.rm).
Joyce, K.E. and Laurienti P.J. and Burdette J.H. and Hayasaka S. (2010) A new measure of centrality for brain networks. PLoS One, 5(8), e12200. tools:::Rd_expr_doi("10.1371/journal.pone.0012200")
Other Centrality functions: centr_betw_comm