Measuring Assortativity

Assortative network.

Assortativity: A network property by which similar nodes are more likely to be connected than dissimilar nodes

Similarity is based on some node property, e.g. degree, age, political orientation, gender… Can be measured with the assortativity coefficient:

\[\begin{equation*} r=\frac{\sum_c e_{cc}-\sum_c a_c b_c}{1-\sum_c a_c b_c} \end{equation*}\]