Vital nodes identification in complex networks

L Lü, D Chen, XL Ren, QM Zhang, YC Zhang, T Zhou - Physics reports, 2016 - Elsevier
Real networks exhibit heterogeneous nature with nodes playing far different roles in
structure and function. To identify vital nodes is thus very significant, allowing us to control …

[HTML][HTML] Random walks and diffusion on networks

N Masuda, MA Porter, R Lambiotte - Physics reports, 2017 - Elsevier
Random walks are ubiquitous in the sciences, and they are interesting from both theoretical
and practical perspectives. They are one of the most fundamental types of stochastic …

[HTML][HTML] Laplacian renormalization group for heterogeneous networks

P Villegas, T Gili, G Caldarelli, A Gabrielli - Nature Physics, 2023 - nature.com
The renormalization group is the cornerstone of the modern theory of universality and phase
transitions and it is a powerful tool to scrutinize symmetries and organizational scales in …

Chemically specific coarse‐graining of polymers: Methods and prospects

S Dhamankar, MA Webb - Journal of Polymer Science, 2021 - Wiley Online Library
Coarse‐grained (CG) modeling is an invaluable tool for the study of polymers and other soft
matter systems due to the span of spatiotemporal scales that typify their physics 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 …

Navigability of interconnected networks under random failures

M De Domenico, A Solé-Ribalta… - Proceedings of the …, 2014 - National Acad Sciences
Assessing the navigability of interconnected networks (transporting information, people, or
goods) under eventual random failures is of utmost importance to design and protect critical …

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 …

Extracting the multiscale backbone of complex weighted networks

MÁ Serrano, M Boguná… - Proceedings of the …, 2009 - National Acad Sciences
A large number of complex systems find a natural abstraction in the form of weighted
networks whose nodes represent the elements of the system and the weighted edges …

[HTML][HTML] Topological strata of weighted complex networks

G Petri, M Scolamiero, I Donato, F Vaccarino - PloS one, 2013 - journals.plos.org
The statistical mechanical approach to complex networks is the dominant paradigm in
describing natural and societal complex systems. The study of network properties, and their …

Functional modularity of background activities in normal and epileptic brain networks

M Chavez, M Valencia, V Navarro, V Latora… - Physical review …, 2010 - APS
We analyze the connectivity structure of weighted brain networks extracted from
spontaneous magnetoencephalographic signals of healthy subjects and epileptic patients …