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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 …
[Књига][B] Complex networks: structure, robustness and function
Examining important results and analytical techniques, this graduate-level textbook is a step-
by-step presentation of the structure and function of complex networks. Using a range of …
by-step presentation of the structure and function of complex networks. Using a range of …
A small world of weak ties provides optimal global integration of self-similar modules in functional brain networks
The human brain is organized in functional modules. Such an organization presents a basic
conundrum: Modules ought to be sufficiently independent to guarantee functional …
conundrum: Modules ought to be sufficiently independent to guarantee functional …
Avoiding catastrophic failure in correlated networks of networks
Networks in nature do not act in isolation, but instead exchange information and depend on
one another to function properly,,. Theory has shown that connecting random networks may …
one another to function properly,,. Theory has shown that connecting random networks may …
The perceived assortativity of social networks: methodological problems and solutions
Networks describe a range of social, biological and technical phenomena. An important
property of a network is its degree correlation or assortativity, describing how nodes in the …
property of a network is its degree correlation or assortativity, describing how nodes in the …
Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence
We study the statistical properties of complex networks constructed from time series of
energy dissipation rates in three-dimensional fully developed turbulence using the visibility …
energy dissipation rates in three-dimensional fully developed turbulence using the visibility …
Visibility graph analysis of geophysical time series: Potentials and possible pitfalls
Recently, complex network approaches to time series analysis have been developed and
successfully applied to geophysical records. In this paper, the visibility graph approach is re …
successfully applied to geophysical records. In this paper, the visibility graph approach is re …
Theories for influencer identification in complex networks
In social and biological systems, the structural heterogeneity of interaction networks gives
rise to the emergence of a small set of influential nodes, or influencers, in a series of …
rise to the emergence of a small set of influential nodes, or influencers, in a series of …
Average path length and Fermat distance in fractal networks composed of high-dimensional Sierpiński pyramids
C Zeng, Y Huang, L Guo, Y Xue - Chaos, Solitons & Fractals, 2023 - Elsevier
Complex networks created by fractals have been associated with various applications such
as social networks, modern communication, and fractal antennas. In this paper, we consider …
as social networks, modern communication, and fractal antennas. In this paper, we consider …
Scale-free and small-world properties of Sierpinski networks
S Wang, L **, H Xu, L Wang - Physica A: Statistical Mechanics and Its …, 2017 - Elsevier
In this paper, we construct the evolving networks from Sierpinski carpet, using the encoding
approach in fractal geometry. We consider the small similar copies of unit square as nodes …
approach in fractal geometry. We consider the small similar copies of unit square as nodes …