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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

Multiplex networks are a type of multilayer network in which entities are connected to each other via multiple types of connections. We propose a method, based on computing pairwise similarities between layers and then doing community…

Physics and Society · Physics 2017-09-20 Ta-Chu Kao , Mason A. Porter

We propose a method for characterizing large complex networks by introducing a new matrix structure, unique for a given network, which encodes structural information; provides useful visualization, even for very large networks; and allows…

Disordered Systems and Neural Networks · Physics 2008-02-28 J. P. Bagrow , E. M. Bollt , J. D. Skufca , D. ben-Avraham

In complex networks there are overlapping substructures or "circles" that consist of nodes belonging to multiple cohesive subgroups. Yet the role of these overlapping nodes in influence spreading processes remains underexplored. In the…

Social and Information Networks · Computer Science 2026-03-12 Kosti Koistinen , Vesa Kuikka , Kimmo Kaski

Some networked systems can be better modelled by multilayer structure where the individual nodes develop relationships in multiple layers. Multilayer networks with similar nodes across layers are also known as multiplex networks. This…

Social and Information Networks · Computer Science 2020-01-08 Shaghayegh Najari , Mostafa Salehi , Vahid Ranjbar , Mahdi Jalili

The coexistence of multiple types of interactions within social, technological and biological networks has moved the focus of the physics of complex systems towards a multiplex description of the interactions between their constituents.…

Physics and Society · Physics 2015-11-09 Jesús Gómez-Gardeñes , Manlio De Domenico , Gerardo Gutiérrez , Alex Arenas , Sergio Gómez

The representation of complex systems as networks is inappropriate for the study of certain problems. We show several examples of social, biological, ecological and technological systems where the use of complex networks gives very limited…

Physics and Society · Physics 2013-04-02 Ernesto Estrada , Juan A. Rodriguez-Velazquez

In the course of the growth of the Internet and due to increasing availability of data, over the last two decades, the field of network science has established itself as an own area of research. With quantitative scientists from computer…

Social and Information Networks · Computer Science 2016-06-14 Marco Winkler

The use of patent citation networks as research tools is becoming increasingly commonplace in the field of innovation studies. However, these networks rarely consider the contexts in which these citations are generated and are generally…

Physics and Society · Physics 2022-05-17 Kyle Higham , Martina Contisciani , Caterina De Bacco

Network models have been increasingly used in the past years to support summarization and analysis of narratives, such as famous TV series, books and news. Inspired by social network analysis, most of these models focus on the characters at…

Social and Information Networks · Computer Science 2018-12-17 Youssef Mourchid , Benjamin Renoust , Hocine Cherifi , Mohammed El Hassouni

Hidden geometry enables the investigation of complex networks at different scales. Extending this framework to multiplex networks, we uncover a novel kind of mesoscopic organization in real multiplex systems, named $\textit{clan}$, a group…

Physics and Society · Physics 2024-02-07 Gangmin Son , Meesoon Ha , Hawoong Jeong

We analyse a collection of empirical networks in a wide spectrum of disciplines and show that strong non-normality is ubiquitous in network science. Dynamical processes evolving on non-normal networks exhibit a peculiar behaviour, as…

Adaptation and Self-Organizing Systems · Physics 2018-11-09 Malbor Asllani , Renaud Lambiotte , Timoteo Carletti

Complex networks have recently attracted much attention in diverse areas of science and technology. Many networks such as the WWW and biological networks are known to display spatial heterogeneity which can be characterized by their fractal…

Biological Physics · Physics 2015-05-30 Dan-Ling Wang , Zu-Guo Yu , Vo Anh

Various company interactions can be described by networks, for instance the ownership networks and the board membership networks. To understand the ecosystem of companies, these interactions cannot be seen in isolation. For this purpose we…

Physics and Society · Physics 2019-03-27 Jeroen van Lidth de Jeude , Tomaso Aste , Guido Caldarelli

In the last two decades, network science has blossomed and influenced various fields, such as statistical physics, computer science, biology and sociology, from the perspective of the heterogeneous interaction patterns of components…

Physics and Society · Physics 2021-04-20 Ming Li , Run-Ran Liu , Linyuan Lü , Mao-Bin Hu , Shuqi Xu , Yi-Cheng Zhang

Networks are a fundamental tool for understanding and modeling complex systems in physics, biology, neuroscience, engineering, and social science. Many networks are known to exhibit rich, lower-order connectivity patterns that can be…

Social and Information Networks · Computer Science 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

A major achievement in the study of complex networks is the observation that diverse systems, from sub-cellular biology to social networks, exhibit universal topological characteristics. Yet this universality does not naturally translate to…

Physics and Society · Physics 2018-01-29 Chittaranjan Hens , Uzi Harush , Reuven Cohen , Baruch Barzel

Multilayer networks allow for modeling complex relationships, where individuals are embedded in multiple social networks at the same time. Given the ubiquity of such relationships, these networks have been increasingly gaining attention in…

Social and Information Networks · Computer Science 2019-11-15 Marcin Waniek , Tomasz P. Michalak , Talal Rahwan

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

Dynamic multilayer networks frequently represent the structure of multiple co-evolving relations; however, statistical models are not well-developed for this prevalent network type. Here, we propose a new latent space model for dynamic…

Methodology · Statistics 2021-03-25 Joshua Daniel Loyal , Yuguo Chen
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