sentences:  Respectively, local assortativity for directed networks is a node's contribution to the directed assortativity of a network.A node's contribution to the assortativity of a directed network formula_35 is defined as,
  formula_36
  
  Where formula_37 is the out-degree of the node under consideration and formula_38 is the in-degree, formula_39 is the average in-degree of its neighbors (to which node formula_40} has an edge) and formula_41 is the average out-degree of its neighbors (from which node formula_40 has an edge).formula_43,formula_44.The basic structure of a network can cause these measures to show disassortativity, which is not representative of any underlying assortative or disassortative mixing.