To calculate centrality using the formulas described in Centrality Formulas, the EigenVectorCentrality function uses an in-neighbors relation matrix of the input source key and target key. In this matrix, aij has the value 1 if there is an edge from j to i.
In-Neighbors Relation Matrix

If you need an out-neighbors adjacent matrix—for example, to calculate the contribution of a vertex to other vertices—exchange the source key and target key columns and then invoke this function.