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A fundamental problem in network science is to predict how certain individuals are able to initiate new networks to spring up "new ideas". Frequently, these changes in trends are triggered by a few innovators who rapidly impose their ideas…

Physics and Society · Physics 2014-05-28 Yanqing Hu , Shlomo Havlin , Hernán A. Makse

This article provides a taxonomy of current and past network modeling efforts. In all these efforts over the last few years we see a trend towards not only describing the network, but connected devices as well. This is especially current…

Networking and Internet Architecture · Computer Science 2014-03-06 Jeroen van der Ham , Mattijs Ghijsen , Paola Grosso , Cees de Laat

Social and biological contagions are influenced by the spatial embeddedness of networks. Historically, many epidemics spread as a wave across part of the Earth's surface; however, in modern contagions long-range edges -- for example, due to…

Adaptation and Self-Organizing Systems · Physics 2015-07-31 Dane Taylor , Florian Klimm , Heather A. Harrington , Miroslav Kramar , Konstantin Mischaikow , Mason A. Porter , Peter J. Mucha

Identifying super-spreaders can be framed as a subtask of the influence maximisation problem. It seeks to pinpoint agents within a network that, if selected as single diffusion seeds, disseminate information most effectively. Multilayer…

Social and Information Networks · Computer Science 2025-10-27 Michał Czuba , Mateusz Stolarski , Adam Piróg , Piotr Bielak , Piotr Bródka

From interacting cellular components to networks of neurons and neural systems, interconnected units comprise a fundamental organizing principle of the nervous system. Understanding how their patterns of connections and interactions give…

Neurons and Cognition · Quantitative Biology 2018-08-01 Danielle S. Bassett , Perry Zurn , Joshua I. Gold

In this work we study diffusion in networks with community structure. We first replicate and extend work on networks with non-overlapping community structure. We then study diffusion on network models that have overlapping community…

Physics and Society · Physics 2015-03-19 Fergal Reid , Neil Hurley

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

Complex systems with multiple processes evolving on different temporal scales are naturally described by multilayer networks, where each layer represents a different timescale. In this work, we show how the multilayer structure shapes the…

Statistical Mechanics · Physics 2024-10-29 Giorgio Nicoletti , Daniel Maria Busiello

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

Biological Physics · Physics 2015-05-13 Sitabhra Sinha

The emerging field at the intersection of quantitative biology, network modeling, and control theory has enjoyed significant progress in recent years. This Special Issue brings together a selection of papers on complementary approaches to…

Molecular Networks · Quantitative Biology 2018-07-10 Reka Albert , John Baillieul , Adilson E. Motter

Networks represent relationships between entities in many complex systems, spanning from online social interactions to biological cell development and brain connectivity. In many cases, relationships between entities are unambiguously…

Social and Information Networks · Computer Science 2018-01-23 Ivan Brugere , Brian Gallagher , Tanya Y. Berger-Wolf

A diffusion process on complex networks is introduced in order to uncover their large scale topological structures. This is achieved by focusing on the slowest decaying diffusive modes of the network. The proposed procedure is applied to…

Statistical Mechanics · Physics 2009-11-10 Ingve Simonsen , Kasper Astrup Eriksen , Sergei Maslov , Kim Sneppen

The brain is immensely complex, with diverse components and dynamic interactions building upon one another to orchestrate a wide range of functions and behaviors. Understanding patterns of these complex interactions and how they are…

Neurons and Cognition · Quantitative Biology 2024-08-06 Suman Kulkarni , Dani S. Bassett

Information on social media spreads through an underlying diffusion network that connects people of common interests and opinions. This diffusion network often comprises multiple layers, each capturing the spreading dynamics of a certain…

Social and Information Networks · Computer Science 2024-10-08 Yan Xia , Ted Hsuan Yun Chen , Mikko Kivelä

Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

Physics and Society · Physics 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza

Graphs are now ubiquitous in almost every field of research. Recently, new research areas devoted to the analysis of graphs and data associated to their vertices have emerged. Focusing on dynamical processes, we propose a fast, robust and…

Social and Information Networks · Computer Science 2016-02-02 Kirell Benzi , Benjamin Ricaud , Pierre Vandergheynst

In today's world, individuals interact with each other in more complicated patterns than ever. Some individuals engage through online social networks (e.g., Facebook, Twitter), while some communicate only through conventional ways (e.g.,…

Physics and Society · Physics 2015-09-15 Yong Zhuang , Osman Yağan

Identifying the most influential spreaders is important to understand and control the spreading process in a network. As many real-world complex systems can be modeled as multilayer networks, the question of identifying important nodes in…

Physics and Society · Physics 2021-01-08 Qi Zeng , Ying Liu , Liming Pan , Ming Tang

Efficient networking has a substantial economic and societal impact in a broad range of areas including transportation systems, wired and wireless communications and a range of Internet applications. As transportation and communication…

Physics and Society · Physics 2015-05-30 Chi Ho Yeung , David Saad