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Solve the exponent of scale-free networks making use of Fourier transform. (Chinese. English summary) Zbl 1174.42304
Summary: A notable feature of scale-free networks in complex networks is that their degree distribution has a fat tail. Many scholars have already proved in different ways that the exponent of the majority of scale-free networks is greater than 2; however, there are a fraction of scale-free networks whose exponent is less than 2. In this paper Fourier transform in mathematics is used in solving the power law of these two sorts of scale-free networks respectively.
42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
93A99 General systems theory