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 …

The structure and dynamics of multilayer networks

S Boccaletti, G Bianconi, R Criado, CI Del Genio… - Physics reports, 2014 - Elsevier
In the past years, network theory has successfully characterized the interaction among the
constituents of a variety of complex systems, ranging from biological to technological, and …

Community detection in graphs

S Fortunato - Physics reports, 2010 - Elsevier
The modern science of networks has brought significant advances to our understanding of
complex systems. One of the most relevant features of graphs representing real systems is …

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 …

Analyzing and modeling real-world phenomena with complex networks: a survey of applications

LF Costa, ON Oliveira Jr, G Travieso… - Advances in …, 2011 - Taylor & Francis
The success of new scientific areas can be assessed by their potential in contributing to new
theoretical approaches and in applications to real-world problems. Complex networks have …

Statistical mechanics of multiplex networks: Entropy and overlap

G Bianconi - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
There is growing interest in multiplex networks where individual nodes take part in several
layers of networks simultaneously. This is the case, for example, in social networks where …

Generalized network structures: The configuration model and the canonical ensemble of simplicial complexes

OT Courtney, G Bianconi - Physical Review E, 2016 - APS
Simplicial complexes are generalized network structures able to encode interactions
occurring between more than two nodes. Simplicial complexes describe a large variety of …

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 …

Quantifying randomness in real networks

C Orsini, MM Dankulov, P Colomer-de-Simón… - Nature …, 2015 - nature.com
Represented as graphs, real networks are intricate combinations of order and disorder.
Fixing some of the structural properties of network models to their values observed in real …

Measure the structure similarity of nodes in complex networks based on relative entropy

Q Zhang, M Li, Y Deng - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
Similarity of nodes is a basic structure quantification in complex networks. Lots of methods in
research on complex networks are based on nodes' similarity such as node's classification …