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In this paper, first a theorem on the partial sum of a particular series isgiven. Then, based on it, the origin of obvious simulation deviation fromtheory is explained: i) why the numerically estimated \hat\gamma (degreeexponent) in [1=arXiv:cond-mat/0106096] is always smaller than \gamma (=3) thatis predicted by theory; ii) and why \hat\gamma rises monotonically as m (thelinks added at each step in Barabasi-Albert (BA) model [1]) increases.Strictly, it declares such errors are basically from the inconsistence ofsimulation with the theoretical model, which is caused by an additionalincompatible condition used in simulation. In addition, noticing the evolvingdifferences between the initial m_0 nodes and those after, we correct thederived BA model which unfairly omitted such differences.

A trick: why \hat\gamma < \gamma (=3) in [1=arXiv:cond-mat/0106096]?