A SMALL-WORLD AND SCALE-FREE NETWORK GENERATED BY SIERPINSKI TETRAHEDRON-Reference-Cited by-同舟云学术

A SMALL-WORLD AND SCALE-FREE NETWORK GENERATED BY SIERPINSKI TETRAHEDRON

Published:2016-03 Issue:01 Volume:24 Page:1650001
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

CHEN JIN¹,GAO FEI²,LE ANBO³,XI LIFENG⁴,YIN SHUHUA³

Affiliation:

1. College of Science, Huazhong Agricultural University, Wuhan 430070, P. R. China

2. School of Computer Science and Information Technology, Zhejiang Wanli University, Ningbo 315100, P. R. China

3. Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, P. R. China

4. Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China

Abstract

The Sierpinski tetrahedron is used to construct evolving networks, whose vertexes are all solid regular tetrahedra in the construction of the Sierpinski tetrahedron up to the stage [Formula: see text] and any two vertexes are neighbors if and only if the corresponding tetrahedra are in contact with each other on boundary. We show that such networks have the small-world and scale-free effects, but are not fractal scaling.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500018

Reference35 articles.

1. Collective dynamics of ‘small-world’ networks

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