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While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

统计力学 · 物理学 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

Spreading of either information or matter can often be treated as a network problem. It can be of great importance to be able to estimate the likelihood that spreading through a network reaches essentially the entire network while still not…

无序系统与神经网络 · 物理学 2009-03-09 Tomas Alarcon , Henrik Jeldtoft Jensen

Complex systems are very often organized under the form of networks where nodes and edges are embedded in space. Transportation and mobility networks, Internet, mobile phone networks, power grids, social and contact networks, neural…

统计力学 · 物理学 2015-05-20 Marc Barthelemy

We analytically determine when a range of abstract social contagion models permit global spreading from a single seed on degree-correlated random networks. We deduce the expected size of the largest vulnerable component, a network's…

物理与社会 · 物理学 2013-05-29 Peter Sheridan Dodds , Joshua L. Payne

An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation…

适应与自组织系统 · 物理学 2007-05-23 Venkat Venkatasubramanian , Santhoji Katare , Priyan R. Patkar , Fangping Mu

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

无序系统与神经网络 · 物理学 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

With increasing numbers of mobile robots arriving in real-world applications, more robots coexist in the same space, interact, and possibly collaborate. Methods to provide such systems with system size scalability are known, for example,…

机器人学 · 计算机科学 2024-05-15 Jonas Kuckling , Robin Luckey , Viktor Avrutin , Andrew Vardy , Andreagiovanni Reina , Heiko Hamann

Usual formulations of the clustering coefficient can be shown to be insufficient in the task of describing the local topology of very simple networks. Motivated by this, we review some alternatives in order to present an extension, the…

数据分析、统计与概率 · 物理学 2007-05-23 Alexandre H. Abdo , A. P. S. de Moura

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

Much research has been done on studying the diffusion of ideas or technologies on social networks including the \textit{Influence Maximization} problem and many of its variations. Here, we investigate a type of inverse problem. Given a…

社会与信息网络 · 计算机科学 2014-04-28 Georgios Askalidis , Randall A. Berry , Vijay G. Subramanian

The increasing volume of ecologically and biologically relevant data has revealed a wide collection of emergent patterns in living systems. Analyzing different datasets, ranging from metabolic gene-regulatory to species interaction…

物理与社会 · 物理学 2019-12-13 Daniel M. Busiello , Samir Suweis , Jorge Hidalgo , Amos Maritan

Many complex systems in nature and society can be described in terms of networks capturing the intricate web of connections among the units they are made of. A key question is how to interpret the global organization of such networks as the…

物理与社会 · 物理学 2007-05-23 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek

What is a complex network? How do we characterize complex networks? Which systems can be studied from a network approach? In this text, we motivate the use of complex networks to study and understand a broad panoply of systems, ranging from…

物理与社会 · 物理学 2007-11-27 Pedro G. Lind

Based on suggested interactions of potential tipping elements in the Earth's climate and in ecological systems, tipping cascades as possible dynamics are increasingly discussed and studied as their activation would impose a considerable…

地球物理 · 物理学 2021-12-14 Ann Kristin Klose , Nico Wunderling , Ricarda Winkelmann , Jonathan F Donges

We consider the problem of identifying the source of an epidemic, spreading through a network, from a complete observation of the infected nodes in a snapshot of the network. Previous work on the problem has often employed geometric,…

社会与信息网络 · 计算机科学 2019-06-13 S. Jalil Kazemitabar , Arash A. Amini

In this review article, we discuss connections between the physics of disordered systems, phase transitions in inference problems, and computational hardness. We introduce two models representing the behavior of glassy systems, the spiked…

无序系统与神经网络 · 物理学 2022-12-07 David Gamarnik , Cristopher Moore , Lenka Zdeborová

Many real complex systems cannot be represented by a single network, but due to multiple sub-systems and types of interactions, must be represented as a multiplex network. This is a set of nodes which exist in several layers, with each…

无序系统与神经网络 · 物理学 2016-12-16 G. J. Baxter , D. Cellai , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Networks are paradigms for describing complex biological, social and technological systems. Here I argue that networks provide a coherent framework to construct coarse-grained models for many different physical systems. To elucidate these…

地球物理 · 物理学 2017-08-23 Maya Paczuski

Why are large, complex ecosystems stable? Both theory and simulations of current models predict the onset of instability with growing size and complexity, so for decades it has been conjectured that ecosystems must have some unidentified…

种群与进化 · 定量生物学 2016-08-11 Samuel Johnson , Virginia Domínguez-García , Luca Donetti , Miguel A. Muñoz

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…

生物物理 · 物理学 2015-05-13 Sitabhra Sinha