The statistical physics of real-world networks

G Cimini, T Squartini, F Saracco, D Garlaschelli… - Nature Reviews …, 2019 - nature.com
In the past 15 years, statistical physics has been successful as a framework for modelling
complex networks. On the theoretical side, this approach has unveiled a variety of physical …

Complex networks from classical to quantum

J Biamonte, M Faccin, M De Domenico - Communications Physics, 2019 - nature.com
Recent progress in applying complex network theory to problems in quantum information
has resulted in a beneficial cross-over. Complex network methods have successfully been …

Structural reducibility of multilayer networks

M De Domenico, V Nicosia, A Arenas… - Nature communications, 2015 - nature.com
Many complex systems can be represented as networks consisting of distinct types of
interactions, which can be categorized as links belonging to different layers. For example, a …

Mathematical formulation of multilayer networks

M De Domenico, A Solé-Ribalta, E Cozzo, M Kivelä… - Physical Review X, 2013 - APS
A network representation is useful for describing the structure of a large variety of complex
systems. However, most real and engineered systems have multiple subsystems and layers …

MuxViz: a tool for multilayer analysis and visualization of networks

M De Domenico, MA Porter… - Journal of Complex …, 2015 - academic.oup.com
Multilayer relationships among entities and information about entities must be accompanied
by the means to analyse, visualize and obtain insights from such data. We present open …

Sega: Structural entropy guided anchor view for graph contrastive learning

J Wu, X Chen, B Shi, S Li, K Xu - … Conference on Machine …, 2023 - proceedings.mlr.press
In contrastive learning, the choice of" view" controls the information that the representation
captures and influences the performance of the model. However, leading graph contrastive …

Entropy measures for networks: Toward an information theory of complex topologies

K Anand, G Bianconi - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
The quantification of the complexity of networks is, today, a fundamental problem in the
physics of complex systems. A possible roadmap to solve the problem is via extending key …

[HTML][HTML] Map** multiplex hubs in human functional brain networks

M De Domenico, S Sasai, A Arenas - Frontiers in neuroscience, 2016 - frontiersin.org
Typical brain networks consist of many peripheral regions and a few highly central ones, ie,
hubs, playing key functional roles in cerebral inter-regional interactions. Studies have shown …

Structural information and dynamical complexity of networks

A Li, Y Pan - IEEE Transactions on Information Theory, 2016 - ieeexplore.ieee.org
In 1953, Shannon proposed the question of quantification of structural information to analyze
communication systems. The question has become one of the longest great challenges in …

Interdisciplinary and physics challenges of network theory

G Bianconi - Europhysics Letters, 2015 - iopscience.iop.org
Network theory has unveiled the underlying structure of complex systems such as the
Internet or the biological networks in the cell. It has identified universal properties of complex …