centr_lev: Calculate a vertex's leverage centrality
Description
This function calculates the leverage centrality of each vertex in a graph.Value
A vector of the leverage centrality for all vertices.Details
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).References
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.