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The fractal dimension of complex networks: A review
The fractal property is one of the most important properties in complex networks. It describes
the power law relationship between characteristics of the box and the box size. There are …
the power law relationship between characteristics of the box and the box size. There are …
Network geometry
Networks are finite metric spaces, with distances defined by the shortest paths between
nodes. However, this is not the only form of network geometry: two others are the geometry …
nodes. However, this is not the only form of network geometry: two others are the geometry …
Networks with many structural scales: a Renormalization Group perspective
Scale invariance profoundly influences the dynamics and structure of complex systems,
spanning from critical phenomena to network architecture. Here, we propose a precise …
spanning from critical phenomena to network architecture. Here, we propose a precise …
On the correlation between fractal dimension and robustness of complex networks
In recent years, because complex networks can be used to model real-world complex
systems, such as the Internet, urban infrastructure networks, and gene interaction networks …
systems, such as the Internet, urban infrastructure networks, and gene interaction networks …
Scaling theory of fractal complex networks
A Fronczak, P Fronczak, MJ Samsel, K Makulski… - Scientific Reports, 2024 - nature.com
We show that fractality in complex networks arises from the geometric self-similarity of their
built-in hierarchical community-like structure, which is mathematically described by the scale …
built-in hierarchical community-like structure, which is mathematically described by the scale …
Identification of relevant protein interactions with partial knowledge: A complex network and deep learning approach
P Ortiz-Vilchis, JS De-la-Cruz-García… - Biology, 2023 - mdpi.com
Simple Summary Protein–protein interactions (PPIs) are the basis for understanding cellular
events in biological systems. Experimental biochemical, molecular, and genetic methods …
events in biological systems. Experimental biochemical, molecular, and genetic methods …
Institutional and country collaboration in an online service of scientific profiles: Google Scholar Citations
The purpose of this paper is to analyse and describe the topological properties of the
institutional and national collaboration network from the profiles extracted from Google …
institutional and national collaboration network from the profiles extracted from Google …
A box-covering Tsallis information dimension and non-extensive property of complex networks
In this article, a box-covering Tsallis information dimension is introduced, and the physical
interpretation of this new dimension has been assigned. Moreover, based on the introduced …
interpretation of this new dimension has been assigned. Moreover, based on the introduced …
Scaling laws for diffusion on (trans) fractal scale-free networks
Fractal (or transfractal) features are common in real-life networks and are known to influence
the dynamic processes taking place in the network itself. Here, we consider a class of scale …
the dynamic processes taking place in the network itself. Here, we consider a class of scale …
Beyond traditional box-covering: Determining the fractal dimension of complex networks using a fixed number of boxes of flexible diameter
M Lepek, K Makulski, A Fronczak… - arxiv preprint arxiv …, 2025 - arxiv.org
In this paper, we present a novel box-covering algorithm for analyzing the fractal properties
of complex networks. Unlike traditional algorithms that impose a predefined box size, our …
of complex networks. Unlike traditional algorithms that impose a predefined box size, our …