Recently, Castellano and Pastor-Satorras [1] utilized the finite size scaling(FSS) theory to analyze simulation data for the contact process (CP) onscale-free networks (SFNs) and claimed that its absorbing critical behavior isnot consistent with the mean-field (MF) prediction. Furthermore, they pointedout large density fluctuations at highly connected vertices as a possibleorigin for non-MF critical behavior. In this Comment, we propose a scalingtheory for relative density fluctuations in the spirit of the MF theory, whichturns out to explain simulation data perfectly well. We also measure the valueof the critical density decay exponent, which agrees well with the MFprediction. Our results strongly support that the CP on SFNs still exhibits aMF-type critical behavior.
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