Calculates the leverage centrality of each vertex in a graph.
centr_lev(g)An igraph graph object
A vector of the leverage centrality for all vertices.
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).
This function was adapted from the igraph wiki (http://igraph.wikidot.com).
Joyce K.E., Laurienti P.J., Burdette J.H., Hayasaka S. (2010) A new measure of centrality for brain networks. PLoS One, 5(8):e12200.
Other Centrality functions: centr_betw_comm