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Published on: August 5, 2016
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Multifractality of Complex Networks Is Also Due to Geometry: A Geometric Sandbox Algorithm.
1Institute of Physics, College of Natural Sciences, University of Rzeszów, Pigonia 1, 35-310 Rzeszów, Poland.
Entropy (Basel, Switzerland)
|September 28, 2023
Summary
This study introduces a novel multifractal network analysis method that incorporates node coordinates to capture network geometry. This approach reveals sensitivity to geometric changes, unlike traditional methods that only consider connections.
Area of Science:
- Complex networks analysis
- Fractal geometry
- Network science
Background:
- Complex networks are often fractal or multifractal, requiring advanced analysis.
- Current multifractal analysis methods overlook node spatial coordinates.
- Network geometry significantly influences fractal structure and properties.
Purpose of the Study:
- To develop a multifractal network analysis method accounting for node positions.
- To assess the impact of network geometry on multifractality.
- To demonstrate the method's sensitivity to geometric variations.
Main Methods:
- Proposed a novel multifractal network analysis incorporating node coordinates.
- Applied the method to synthetic and real-world networks with varying geometries.
- Compared results with traditional multifractal analysis methods.
Main Results:
- The new method is sensitive to changes in network geometry.
- Geometric variations significantly alter multifractal properties.
- Traditional methods fail to capture geometry-induced multifractality.
Conclusions:
- Network geometry is crucial for accurate multifractal analysis.
- The proposed method provides a more comprehensive understanding of complex networks.
- This approach enhances the analysis of real-world networks with inherent geometric structures.
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