Talk:Random geometric graph

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It seems that there is an issue with the expectation value $E (x) = n (1 - π r^{2})^{n - 1}$ . If one takes the logarithm of this expression and uses a Taylor expansion up to $𝒪 (r^{4} n)$ , one obtains $E (x) = n (1 - π r^{2})^{n - 1} = n e^{- π r^{2} n - 𝒪 (r^{4} n)}$ . This is also correctly stated in the published version of the cited arXiv article: Díaz, J., Mitsche, D., & Pérez-Giménez, X. (2009). On the probability of the existence of fixed-size components in random geometric graphs. Advances in Applied Probability, 41(2), 344-357. I would suggest to fix it and update the reference. Version 1 of the arXiv article also shows the correct result. — Preceding unsigned comment added by 195.176.113.53 (talk) 17:32, 10 October 2019 (UTC)Reply