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

作者:Chen, Jin; Gao, Fei; Le, Anbo*; Xi, Lifeng; Yin, Shuhua
来源:Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 2016, 24(1): 1650001.
DOI:10.1142/S0218348X16500018

摘要

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 t 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.