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The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

物理与社会 · 物理学 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

物理与社会 · 物理学 2019-03-21 Alberto Aleta , Yamir Moreno

Complex systems are often driven by higher-order interactions among multiple units, naturally represented as hypergraphs. Understanding dependency structures within these hypergraphs is crucial for understanding and predicting the behavior…

社会与信息网络 · 计算机科学 2025-05-29 John Hood , Caterina De Bacco , Aaron Schein

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…

物理与社会 · 物理学 2018-07-10 Giacomo Rapisardi , Alex Arenas , Guido Caldarelli , Giulio Cimini

Complex network theory provides a powerful framework to statistically investigate the topology of local and non-local statistical interrelationships, i.e. teleconnections, in the climate system. Climate networks constructed from the same…

数据分析、统计与概率 · 物理学 2009-07-27 Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

Reliable propagation of information through large networks, e.g., communication networks, social networks or sensor networks is very important in many applications concerning marketing, social networks, and wireless sensor networks.…

数据结构与算法 · 计算机科学 2018-05-08 Christian Frey , Andreas Züfle , Tobias Emrich , Matthias Renz

We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

物理与社会 · 物理学 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas

A growing interest in complex networks theory results in an ongoing demand for new analytical tools. We propose a novel measure based on information theory that provides a new perspective for a better understanding of networked systems:…

神经元与认知 · 定量生物学 2019-05-30 Aline Viol , Vesna Vuksanović , Philipp Hövel

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…

机器学习 · 统计学 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

Revealing the structural features of a complex system from the observed collective dynamics is a fundamental problem in network science. In order to compute the various topological descriptors commonly used to characterize the structure of…

数据分析、统计与概率 · 物理学 2021-02-16 Sebastian Raimondo , Manlio De Domenico

Multiplex networks describe systems whose interactions can be of different nature, and are fundamental to understand complexity of networks beyond the framework of simple graphs. Recently it has been pointed out that restricting the…

物理与社会 · 物理学 2022-11-14 Reza Ghorbanchian , Vito Latora , Ginestra Bianconi

There are many real-world knowledge based networked systems with multi-type interacting entities that can be regarded as heterogeneous networks including human connections and biological evolutions. One of the main issues in such networks…

社会与信息网络 · 计算机科学 2019-11-05 Soheila Molaei , Hadi Zare , Hadi Veisi

The constituents of a complex system exchange information to function properly. Their signalling dynamics often leads to the appearance of emergent phenomena, such as phase transitions and collective behaviors. While information exchange…

物理与社会 · 物理学 2020-11-18 Arsham Ghavasieh , Carlo Nicolini , Manlio De Domenico

To comprehend the hierarchical organization of large integrated systems, we introduce the hierarchical map equation, which reveals multilevel structures in networks. In this information-theoretic approach, we exploit the duality between…

物理与社会 · 物理学 2011-04-12 M. Rosvall , C. T. Bergstrom

Multiplex networks describe a large variety of complex systems including infrastructures, transportation networks and biological systems. Most of these networks feature a significant link overlap. It is therefore of particular importance to…

物理与社会 · 物理学 2016-09-07 Davide Cellai , Sergey N. Dorogovtsev , Ginestra Bianconi

In a range of scientific coauthorship networks, transitions emerge in degree distributions, correlations between degrees and local clustering coefficients, etc. The existence of those transitions could be regarded as a result of the…

物理与社会 · 物理学 2018-06-19 Zheng Xie , Enming Dong , Dongyun Yi , Ouyang Zhenzheng , Jianping Li

Complex networks can be used to represent and model an ample diversity of abstract and real-world systems and structures. A good deal of the research on these structures has focused on specific topological properties, including node degree,…

社会与信息网络 · 计算机科学 2023-11-08 Alexandre Benatti , Luciano da F. Costa

Mesoscopic quantum systems exhibit complex many-body quantum phenomena, where interactions between spins and charges give rise to collective modes and topological states. Even simple, non-interacting theories display a rich landscape of…

介观与纳米尺度物理 · 物理学 2021-12-13 Abigail N. Poteshman , Evelyn Tang , Lia Papadopoulos , Danielle S. Bassett , Lee C. Bassett

Complex network theory has recently been proposed as a promising tool for characterising interactions between aircraft, and their downstream effects. We here explore the problem of networks' topological predictability, i.e. the dependence…

物理与社会 · 物理学 2025-05-01 Raúl López-Martín , Massimiliano Zanin

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

物理与社会 · 物理学 2015-07-10 Filippo Radicchi