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原文連結
論文資訊
- 類型：已發表論文
- 日期：1999
摘要
We study the small-world 網絡 model, which mimics the transition between regular-lattice and random-lattice behavior in 社會 網絡s of increasing size. We contend that the model displays a critical point with a divergent characteristic length as the degree of randomness tends to zero. We propose a real-space 重整化 group transformation for the model and demonstrate that the transformation is exact in the limit of large system size. We use this result to calculate the exact value of the single critical exponent for the system, and to derive the 縮放律 form for the average number of 'degrees of separation' between two nodes on the 網絡 as a function of the three independent variables. We confirm our results by extensive numerical simulation. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
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