﻿ 一种确定性小世界网络模型平均路径长度的逼近方法

# 一种确定性小世界网络模型平均路径长度的逼近方法An Approximation Algorithm for Average Path Length in A Small-World Network Model

Abstract:
Deterministic small-world network is an important branch of study of complex networks. In 2008, Zhang et al. in Eur.Phys.J.B 63 have offered detailed topological characteristics of the deterministic uniform recursive tree from the viewpoint of complex network. They derived topological characteristics of the deterministic uniform recursive tree. It shows a logarithmic scaling with the size of the network, however, its clustering coefficient is zero. In 2012, Lu, et al. in Physica A 391, based on the deterministic uniform recursive tree, by a simple rule to add some edges, got a deterministic small-world network model. In this paper, using an approximation algorithm based on the network construction, we show explicitly the average path length of the model constructed in Physica A 391.

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