assortativity coefficient

with assumption that modularity can go as high as \[ Q_{max }= 1 - \frac{1}{2m}\sum_{i,j} \frac{\text{deg} i * \text{deg} j }{2m} \delta(c(i),c(j)) \] when All \(A_{i,j}\) values are \(1\)(there’s 2m links in the sum in total.), the assortativity coefficient is defined as \[ \frac{Q}{Q_{max}} \] interpretation - normalized modularity. The higher this value, the more connected everyone to everyone