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A deterministic small-world network created by edge iterations

Zhongzhi Zhang·Lili Rong·Chonghui Guo
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Abstract

Small-world networks are ubiquitous in real-life systems. Most previous models of small-world networks are stochastic. The randomness makes it more difficult to gain a visual understanding on how do different nodes of networks interact with each other and is not appropriate for communication networks that have fixed interconnections. Here we present a model that generates a small-world network in a simple deterministic way. Our model has a discrete exponential degree distribution. We solve the main characteristics of the model.

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Zhongzhi Zhang, Lili Rong, Chonghui Guo. 2005-09-23. A deterministic small-world network created by edge iterations. https://doi.org/10.1016/j.physa.2005.08.020

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