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Comment on "Spectral analysis of deformed random networks".
Physical Review. E 2018 June
We comment on the findings presented in [Phys. Rev. E 80, 046101 (2009)10.1103/PhysRevE.80.046101] concerning the spacing distribution of the spectrum of sparsely connected random networks. We point out that for clustered networks without any connection among them the spacing distribution is not described by Poisson but rather by a superposition of multiple Gaussian orthogonal ensemble (GOE) statistics. Therefore, the spacing distribution for a network having two dense subnetworks with few connections between the two subnetworks follows a transition from two-GOE to a GOE statistics and not as the article suggests a transition from Poisson statistics to the GOE.
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