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The changing topology of a network is driven by the need to maintain or optimize network function. As this function is often related to moving quantities such as traffic, information, etc. efficiently through the network the structure of…

物理与社会 · 物理学 2023-11-28 Annika King , Dallas Smith , Benjamin Webb

Network structures in a wide array of systems such as social networks, transportation, power and water distribution infrastructures, and biological and ecological systems can exhibit critical thresholds or tipping points beyond which there…

A complex network is said to show topological isotropy if the topological structure around a particular node looks the same in all directions of the whole network. Topologically anisotropic networks are those where the local neighborhood…

统计力学 · 物理学 2013-04-02 Ernesto Estrada

In this paper, we derive a topological pattern of urban street networks using a large sample (the largest so far to the best of our knowledge) of 40 U.S. cities and a few more from elsewhere of different sizes. It is found that all the…

数据分析、统计与概率 · 物理学 2013-08-08 Bin Jiang

Humans make decisions based on the information they obtain from several major sources, among which the comments of others in Internet forums play an increasing role. Such forums cover a wide spectrum of topics and represent an essential…

物理与社会 · 物理学 2019-09-24 Maryam Zamani , Fereshteh Rabbani , Attila Horicsányi , Anna Zafeiris , Tamas Vicsek

Distributions of the resilience of transport networks are studied numerically, in particular the large-deviation tails. Thus, not only typical quantities like average or variance but the distributions over the (almost) full support can be…

物理与社会 · 物理学 2015-06-18 Alexander K. Hartmann

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

物理与社会 · 物理学 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or…

斑图形成与孤子 · 物理学 2017-04-05 Daniel Malagarriga , Alessandro E. P. Villa , Jordi García-Ojalvo , Antonio J. Pons

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

无序系统与神经网络 · 物理学 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

Data-driven analysis of large social networks has attracted a great deal of research interest. In this paper, we investigate 120 real social networks and their measurement-calibrated synthetic counterparts generated by four well-known…

社会与信息网络 · 计算机科学 2019-08-23 Marcell Nagy , Roland Molontay

In the past few years, the discoveries of small-world and scale-free properties of many natural and artificial complex networks have stimulated significant advances in better understanding the relationship between the topology and the…

无序系统与神经网络 · 物理学 2009-09-29 Xiang Li

Given a connected network, it can be augmented by applying a growing strategy (e.g. random or scale-free rules) over the previously existing structure. Another approach for augmentation, recently introduced, involves incorporating a direct…

统计力学 · 物理学 2007-05-23 Luciano da Fontoura Costa

Networks are structures that pervade many natural and man-made phenomena. Recent findings have characterized many networks as not random structures, but as efficent complex formations. Current research has examined complex networks as…

无序系统与神经网络 · 物理学 2007-05-23 Sean P. Gorman , Rajendra Kulkarni

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

社会与信息网络 · 计算机科学 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

Contagions such as the spread of popular news stories, or infectious diseases, propagate in cascades over dynamic networks with unobservable topologies. However, "social signals" such as product purchase time, or blog entry timestamps are…

机器学习 · 统计学 2016-12-21 Brian Baingana , Georgios B. Giannakis

A new family of graphs, {\it entangled networks}, with optimal properties in many respects, is introduced. By definition, their topology is such that optimizes synchronizability for many dynamical processes. These networks are shown to have…

统计力学 · 物理学 2009-11-11 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

Heightened interest from nation states to perform content censorship make it evermore critical to identify the impact of censorship efforts on the Internet. We undertake a study of Internet architecture, capturing the state of Internet…

网络与互联网体系结构 · 计算机科学 2024-03-01 Joshua Levett , Vassilios Vassilakis , Poonam Yadav

In the framework of on nonassociative geometry, we introduce a new effective model that extends the statistical treatment of complex networks with hidden geometry. The small-world property of the network is controlled by nonlocal curvature…

物理与社会 · 物理学 2020-03-11 Alexander I. Nesterov , Pablo Héctor Mata Villafuerte

Complex networks with expanding dimensions are studied, where the networks may be directed and weighted, and network nodes are varying in discrete time in the sense that some new nodes may be added and some old nodes may be removed from…

混沌动力学 · 物理学 2007-05-23 Yuming Shi , Guanrong Chen

In a recent article [1] we surveyed advances related to adaptation, learning, and optimization over synchronous networks. Various distributed strategies were discussed that enable a collection of networked agents to interact locally in…

最优化与控制 · 数学 2017-12-13 Ali H. Sayed , Xiaochuan Zhao
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