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Betweenness Centrality of Fractal and Non-Fractal Scale-Free Model Networks and Tests on Real Networks [PDF]
, 2007 We study the betweenness centrality of fractal and non-fractal scale-free network models as well as real networks. We show that the correlation between degree and betweenness centrality $C$ of nodes is much weaker in fractal network models compared to ...
Havlin, Shlomo +5 more
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Automatic prediction of tumour malignancy in breast cancer with fractal dimension
Royal Society Open Science, 2016 Breast cancer is one of the most prevalent types of cancer today in women. The main avenue of diagnosis is through manual examination of histopathology tissue slides.
Alan Chan, J. Tuszynski
semanticscholar +1 more source
Fractal Dimension of Digital 3D Rock Models with Different Pore Structures
Energies, 2022 The macroscopic physical properties of rocks are profoundly determined by their microstructure, and the research of accurately characterizing rock pore structure has been extensively carried out in the fields of petroleum engineering and geoscience ...
Xiaobin Li +3 more
doaj +1 more source
, 2015 We formulate the helicaliser, which replaces a given smooth curve by another curve that winds around it. In our analysis, we relate this formulation to the geometrical properties of the self-similar circular fractal (the discrete version of the curved ...
Chew, Lock Yue, Saw, Vee-Liem
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Fractal Analysis on Asphalt Mixture Using a Two-Dimensional Imaging Technique
Advances in Materials Science and Engineering, 2016 Fractal is a mathematical set that has a fractal dimension which usually exceeds its topological dimension and may be nonintegral. Since the asphalt pavement texture has limitations of randomness and self-similarity, fractal theory has been explored to ...
Yue Hou +3 more
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The Solutions to the Uncertainty Problem of Urban Fractal Dimension Calculation
Entropy, 2019 Fractal geometry provides a powerful tool for scale-free spatial analysis of cities, but the fractal dimension calculation results always depend on methods and scopes of the study area. This phenomenon has been puzzling many researchers.
Yanguang Chen
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Transfer across Random versus Deterministic Fractal Interfaces
, 2000 A numerical study of the transfer across random fractal surfaces shows that their responses are very close to the response of deterministic model geometries with the same fractal dimension. The simulations of several interfaces with prefractal geometries
B. B. Mandelbrot +17 more
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Transport and optical properties of an electron gas in a Sierpinski carpet [PDF]
, 2015 Recent progress in the design and fabrication of artificial two-dimensional (2D) materials paves the way for the experimental realization of electron systems moving on plane fractals.
Katsnelson, Mikhail I. +4 more
core +3 more sources
AIMS MathematicsThis paper attempts to explore possible box dimension of two added fractal continuous functions with the same dimension. Two interesting and meaningful results are obtained.
Ruhua Zhang , Wei Xiao
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Applied Sciences, 2021 In this work, the complex geometry of beams obtained from topology optimization is characterized through the fractal dimension (FD). The fractal dimension is employed as an efficiency measure of the mass distribution in the beams, that is, the capacity ...
Pablo Pavón-Domínguez +3 more
doaj +1 more source