Affiliation:
1. School of Mathematics and Statistics, Ningbo University, 315211 Ningbo, P. R. China
Abstract
For a family of networks [Formula: see text], we define the Hausdorff dimension of [Formula: see text] inspired by the Frostman’s characteristics of potential for Hausdorff dimension of fractals on Euclidean spaces. We prove that our Hausdorff dimension of the touching networks is [Formula: see text] Our definition is quite different from the fractal dimension defined for real-world networks.
Funder
National Natural Science Foundation of China
K. C. Wong Magna Fund in Ningbo University
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation
Cited by
3 articles.
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