publication . Preprint . 2018

Pearson's correlation coefficient in the theory of networks: A comment

Ahmed, Zafar; Kumar, Sachin;
Open Access English
  • Published: 16 Mar 2018
In statistics, the Pearson correlation coefficient $r_{x,y}$ determines the degree of linear correlation between two variables and it is known that $-1 \le r_{x,y} \le 1$. In the theory of networks, a curious expression proposed in [PRL {\bf 89} 208701 (2002)] for degree-degree correlation coefficient $r_{j_i,k_i}, i\in [1,M]$ has been in use. We realize that the suggested form is the conventional Pearson's coefficient for $\{(j_i,k_i), (k_i,j_i)\}$ for $2M$ data points and hence it is rightly dedicated to undirected networks.
free text keywords: Condensed Matter - Disordered Systems and Neural Networks, Computer Science - Social and Information Networks
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