摘要 The degree distribution of the so called 無標度 網絡s

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論文資訊

• 類型：已發表論文
• 日期：2008

摘要

The degree distribution of the so-called 無標度 網絡s exhibits, quite often, the form p(k) proportional to 1/(k(0) + k)(gamma) (with gamma > 0 and k(0) > 0), in the limit of large 網絡s. It happens that this form precisely coincides with the q-exponential p(k) proportional to exp(q) (-k/k) (q >= 1 and k > 0), with gamma = 1/(q-1) and k(0) = k/(q-1). It optimises the nonadditive 熵 S-q = k(B)/q-1 {1 - Sigma(infinity)(k=1)p(k)} with 數學ly the same constraints that yield the stationary (or quasi-stationary) distribution in nonextensive 統計 mechanics. In other words, the most ubiquitous form of the degree distribution of 無標度 網絡s is a realisation of the hypothesis involved within the q-generalisation of Boltzmann-Gibbs 統計 mechanics. In addition to this, we show that growth is not a necessary conditi

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