Network geometry

M Boguna, I Bonamassa, M De Domenico… - Nature Reviews …, 2021 - nature.com
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 …

[Књига][B] Complex networks: structure, robustness and function

R Cohen, S Havlin - 2010 - books.google.com
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 …

A small world of weak ties provides optimal global integration of self-similar modules in functional brain networks

LK Gallos, HA Makse, M Sigman - Proceedings of the National Academy of …, 2012 - pnas.org
The human brain is organized in functional modules. Such an organization presents a basic
conundrum: Modules ought to be sufficiently independent to guarantee functional …

Avoiding catastrophic failure in correlated networks of networks

SDS Reis, Y Hu, A Babino, JS Andrade Jr, S Canals… - Nature Physics, 2014 - nature.com
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 …

The perceived assortativity of social networks: methodological problems and solutions

DN Fisher, MJ Silk, DW Franks - Trends in Social Network Analysis …, 2017 - Springer
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 …

Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence

C Liu, WX Zhou, WK Yuan - Physica A: Statistical Mechanics and its …, 2010 - Elsevier
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 …

Visibility graph analysis of geophysical time series: Potentials and possible pitfalls

RV Donner, JF Donges - Acta Geophysica, 2012 - Springer
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 …

Theories for influencer identification in complex networks

S Pei, F Morone, HA Makse - … phenomena in social systems: Influence and …, 2018 - Springer
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 …

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 …

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 …