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arXiv · 1508.03800

Corona graphs as a model of small-world networks

Qian Lv·Yuhao Yi·Zhongzhi Zhang
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Abstract

We introduce recursive corona graphs as a model of small-world networks. We investigate analytically the critical characteristics of the model, including order and size, degree distribution, average path length, clustering coefficient, and the number of spanning trees, as well as Kirchhoff index. Furthermore, we study the spectra for the adjacency matrix and the Laplacian matrix for the model. We obtain explicit results for all the quantities of the recursive corona graphs, which are similar to those observed in real-life networks.

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Qian Lv, Yuhao Yi, Zhongzhi Zhang. 2016-01-26. Corona graphs as a model of small-world networks. https://doi.org/10.1088/1742-5468%2F2015%2F11%2Fp11024

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