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Condensed Matter > Disordered Systems and Neural Networks

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

Abstract: 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, an interesting expression proposed in [PRL {\bf 89} 208701 (2002)] for degree-degree correlation coefficient $r_{j,k}$ has been in use. We prove that the suggested expression is incorrect overall and one should rather use the conventional form.
Comments: one page
Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Social and Information Networks (cs.SI)
Cite as: arXiv:1803.06937 [cond-mat.dis-nn]
  (or arXiv:1803.06937v1 [cond-mat.dis-nn] for this version)

Submission history

From: Zafar Ahmed DR. [view email]
[v1] Fri, 16 Mar 2018 10:14:22 GMT (2kb)