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原文連結
論文資訊
- 類型：已發表論文
- 日期：1999
摘要
In this paper we study the small-world 網絡 model of Watts and Strogatz, which mimics some aspects of the structure of 網絡s of 社會 interactions. We argue that there is one nontrivial length-scale in the model, analogous to the correlation length in other systems, which is well-defined in the limit of infinite system size and which diverges continuously as the randomness in the 網絡 tends to zero, giving a normal critical point in this limit. This length-scale governs the crossover from large- to small-world behavior in the model, as well as the number of vertices in a neighborhood of given radius on the 網絡. We derive the value of the single critical exponent controlling behavior in the critical region and the finite size 縮放律 form for the average vertex-vertex distance on the 網絡, and, using serie
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