聖塔非研究所

摘要 The small world 網絡 model is a simple model of the

2000 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The small world 網絡 model is a simple model of the structure of 社會 網絡s, which possesses characteristics of both regular lattices and 隨機圖s. The model consists of a one dimensional lattice w…

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論文資訊

  • 類型:已發表論文
  • 日期:2000

摘要

The small-world 網絡 model is a simple model of the structure of 社會 網絡s, which possesses characteristics of both regular lattices and 隨機圖s. The model consists of a one-dimensional lattice with a low density of shortcuts added between randomly selected pairs of points. These shortcuts greatly reduce the typical path length between any two points on the lattice. We present a mean-field solution for the average path length and for the distribution of path lengths in the model. This solution is exact in the limit of large system size and either a large or small number of shortcuts.

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