GraphAssortativity
GraphAssortativity[g] gives the assortativity coefficient of a graph g using vertex degrees.
GraphAssortativity[g,"prop"] gives the assortativity coefficient of the graph g using vertex property "prop".
GraphAssortativity[g,{{vi1,vi2,…},…}] gives the assortativity coefficient of the graph g with respect to the vertex partition {{vi1,vi2,…},…}.
GraphAssortativity[g,{v1,v2,…}->{x1,x2,…}] gives the assortativity coefficient of the graph g using data {x1,x2,…} for vertices {v1,v2,…}.
GraphAssortativity[{v->w,…},…] uses rules v->w to specify the graph g.
Please visit the official Wolfram Language Reference for more details and examples on core symbols.