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A key problem in the study and design of complex systems is the apparent disconnection between the microscopic and the macroscopic. It is not straightforward to identify the local interactions that give rise to an observed global…

适应与自组织系统 · 物理学 2016-06-28 H. Silk , M. Homer , T. Gross

Continuing in the steps of Jon Kleinberg's and others celebrated work on decentralized search in small-world networks, we conduct an experimental analysis of a dynamic algorithm that produces small-world networks. We find that the algorithm…

数据结构与算法 · 计算机科学 2008-04-08 Olof Mogren , Oskar Sandberg , Vilhelm Verendel , Devdatt Dubhashi

Self-organization and pattern formation in network-organized systems emerges from the collective activation and interaction of many interconnected units. A striking feature of these non-equilibrium structures is that they are often…

物理与社会 · 物理学 2016-02-23 Christos Nicolaides , Ruben Juanes , Luis Cueto-Felgueroso

The functional consequences of local and global dynamics can be very different in natural systems. Many such systems have a network description that exhibits strong local clustering as well as high communication efficiency, often termed as…

生物物理 · 物理学 2009-04-07 Raj Kumar Pan , Sitabhra Sinha

Quantitative descriptions of network structure in big data can provide fundamental insights into the function of interconnected complex systems. Small-world structure, commonly diagnosed by high local clustering yet short average path…

神经元与认知 · 定量生物学 2015-05-12 Sarah Feldt Muldoon , Eric W. Bridgeford , Danielle S. Bassett

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

统计力学 · 物理学 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley

The small-world phenomenon has been already the subject of a huge variety of papers, showing its appeareance in a variety of systems. However, some big holes still remain to be filled, as the commonly adopted mathematical formulation…

统计力学 · 物理学 2009-11-07 Vito Latora , Massimo Marchiori

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

物理与社会 · 物理学 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

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…

社会与信息网络 · 计算机科学 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

The increasing demands in security and reliability of infrastructures call for the optimal design of their embedded complex networks topologies. The following question then arises: what is the optimal layout to fulfill best all the demands?…

物理与社会 · 物理学 2014-06-30 C. I. N. Sampaio Filho , A. A. Moreira , R. F. S. Andrade , H. J. Herrmann , J. S. Andrade

The robustness of connectivity and the efficiency of paths are incompatible in many real networks. We propose a self-organization mechanism for incrementally generating onion-like networks with positive degree-degree correlations whose…

物理与社会 · 物理学 2016-05-09 Yukio Hayashi

We consider the self organizing process of merging and regeneration of vertices in complex networks and demonstrate that a scale-free degree distribution emerges in a steady state of such a dynamics. The merging of neighbor vertices in a…

适应与自组织系统 · 物理学 2007-05-23 Beom Jun Kim , Ala Trusina , Petter Minnhagen , Kim Sneppen

We investigate and quantify the interplay between topology and ability to send specific signals in complex networks. We find that in a majority of investigated real-world networks the ability to communicate is favored by the network…

无序系统与神经网络 · 物理学 2007-05-23 A. Trusina , M. Rosvall , K. Sneppen

Small-world networks are highly clustered networks with small distances among the nodes. There are many biological neural networks that present this kind of connections. There are no special weightings in the connections of most existing…

无序系统与神经网络 · 物理学 2009-11-10 Chunguang Li , Guanrong Chen

We propose a simple growing model for the evolution of small-world networks. It is introduced as a modified BA model in which all the edges connected to the new nodes are made locally to the creator and its nearest neighbors. It is found…

数学物理 · 物理学 2009-11-13 Xinping Xu , Feng Liu , Wei Li

Efficiency in passage times is an important issue in designing networks, such as transportation or computer networks. The small-world networks have structures that yield high efficiency, while keeping the network highly clustered. We show…

无序系统与神经网络 · 物理学 2009-11-07 Takashi Nishikawa , Adilson E. Motter , Ying-Cheng Lai , Frank C. Hoppensteadt

Small world models are networks consisting of many local links and fewer long range `shortcuts'. In this paper, we consider some particular instances, and rigorously investigate the distribution of their inter--point network distances. Our…

无序系统与神经网络 · 物理学 2007-05-23 A. D. Barbour , Gesine Reinert

The proliferation of networked devices, systems, and applications that we depend on every day makes managing networks more important than ever. The increasing security, availability, and performance demands of these applications suggest…

网络与互联网体系结构 · 计算机科学 2017-11-01 Nick Feamster , Jennifer Rexford

Complex networks as the World Wide Web, the web of human sexual contacts or criminal networks often do not have an engineered architecture but instead are self-organized by the actions of a large number of individuals. From these local…

无序系统与神经网络 · 物理学 2007-05-23 Holger Ebel , Joern Davidsen , Stefan Bornholdt

A large number of complex networks, both natural and artificial, share the presence of highly heterogeneous, scale-free degree distributions. A few mechanisms for the emergence of such patterns have been suggested, optimization not being…

统计力学 · 物理学 2009-11-07 S. Valverde , R. Ferrer i Cancho , R. V. Sole