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A Simple Model of Scale-free Networks Driven by both Randomness and Adaptability

Dinghua Shi·Xiang Zhu·Liming Liu
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Abstract

In this paper, we present a simple model of scale-free networks that incorporates both preferential & random attachment and anti-preferential & random deletion at each time step. We derive the degree distribution analytically and show that it follows a power law with the degree exponent in the range of (2,infinity). We also find a way to derive an expression of the clustering coefficient for growing networks and compute the average path length through simulation.

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Dinghua Shi, Xiang Zhu, Liming Liu. 2004-09-22. A Simple Model of Scale-free Networks Driven by both Randomness and Adaptability. https://arxiv.org/abs/physics/0409061

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