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Real-world networks such as the Internet and WWW have many common traits. Until now, hundreds of models were proposed to characterize these traits for understanding the networks. Because different models used very different mechanisms, it…

Social and Information Networks · Computer Science 2014-09-02 Bojin Zheng , Hongrun Wu , Li Kuang , Jun Qin , Wenhua Du , Jianmin Wang , Deyi Li

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, where vertices divide into…

Machine Learning · Statistics 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Many real-world systems can be modeled as interconnected multilayer networks, namely a set of networks interacting with each other. Here we present a perturbative approach to study the properties of a general class of interconnected…

Physics and Society · Physics 2018-07-10 Giacomo Rapisardi , Alex Arenas , Guido Caldarelli , Giulio Cimini

In this paper we define a new class of weighted complex networks sharing several properties with fractal sets, and whose topology can be completely analytically characterized in terms of the involved parameters and of the fractal dimension.…

Other Condensed Matter · Physics 2014-01-10 Timoteo Carletti , Simone Righi

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

Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions.…

Physics and Society · Physics 2022-03-24 Soumen Majhi , Matjaz Perc , Dibakar Ghosh

More and more scientific research shows that there is a close correlation between the Internet and brain science. This paper presents the idea of establishing the Internet neurology, which means to make a cross-contrast between the two in…

Other Computer Science · Computer Science 2015-04-14 Feng Liu

The new concept of multilevel network is introduced in order to embody some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classical models. This new model, which…

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

Networks constitute efficient tools for assessing universal features of complex systems. In physical contexts, classical as well as quantum, networks are used to describe a wide range of phenomena, such as phase transitions, intricate…

Quantum Physics · Physics 2016-01-22 Jaroslav Novotný , Gernot Alber , Igor Jex

With the completion of human genome mapping, the focus of scientists seeking to explain the biological complexity of living systems is shifting from analyzing the individual components (such as a particular gene or biochemical reaction) to…

Molecular Networks · Quantitative Biology 2010-01-28 Sitabhra Sinha , T Jesan , Nivedita Chatterjee

As one of the main subjects of investigation in data science, network science has been demonstrated a wide range of applications to real-world networks analysis and modeling. For example, the pervasive presence of structural or topological…

Logic in Computer Science · Computer Science 2020-09-28 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

In many networks, including networks of protein-protein interactions, interdisciplinary collaboration networks, and semantic networks, connections are established between nodes with complementary rather than similar properties. While…

Physics and Society · Physics 2023-03-08 Gabriel Budel , Maksim Kitsak

During the past two decades, percolation has long served as a basic paradigm for network resilience, community formation and so on in complex systems. While the percolation transition is known as one of the most robust continuous…

Physics and Society · Physics 2018-08-03 Deokjae Lee , Y. S. Cho , K. -I. Goh , D. -S. Lee , B. Kahng

The study of complex networks has been historically based on simple graph data models representing relationships between individuals. However, often reality cannot be accurately captured by a flat graph model. This has led to the…

Social and Information Networks · Computer Science 2013-03-21 Matteo Magnani , Barbora Micenkova , Luca Rossi

Networks based on entangled quantum systems enable interesting applications in quantum information processing and the understanding of the resulting quantum correlations is essential for advancing the technology. We show that the theory of…

Quantum Physics · Physics 2021-05-12 Tristan Kraft , Cornelia Spee , Xiao-Dong Yu , Otfried Gühne

As the field of the quantum internet advances, a comprehensive guide to navigate its complexities has become increasingly crucial. While quantum computing shares foundational principles with the quantum internet, distinguishing between the…

Quantum Physics · Physics 2025-08-22 Vinay Kumar , Claudio Cicconetti , Marco Conti , Andrea Passarella

Multilayer networks represent systems in which there are several topological levels each one representing one kind of interaction or interdependency between the systems' elements. These networks have attracted a lot of attention recently…

Physics and Society · Physics 2015-04-22 Emanuele Cozzo , Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno
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