We used matrix norm distances to measure the distance between the covariance matrix, 𝐂 𝑖 , of a randomly generated graph at varied 𝑘 and the covariance matrix of 𝒢 (𝑛, 𝑘 𝑓 𝑢𝑙𝑙 ), 𝐂 𝑓 𝑢𝑙𝑙 . For ease of calculation, we used the Frobenius norm, where the distance between two matrices is