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Growing Small-World Networks Generated by Attaching to Edges

Zhongzhi Zhang·Lili Rong
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Abstract

We introduce a minimal model of small-world growing network generated by attaching to edges. The produced network is a plane graph which exists in real-life world. We obtain the analytic results of degree distribution decaying exponentially with degree and average clustering coefficient $C={3/2}ln3-1\approx 0.6479$, which are in good agreement with the numerical simulations. We also prove that the increasing tendency of average path length of the considered network is a little slower than the logarithm of the network order $N$.

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Zhongzhi Zhang, Lili Rong. 2005-05-27. Growing Small-World Networks Generated by Attaching to Edges. https://arxiv.org/abs/cond-mat/0503637

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