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Small-worlds represent efficient communication networks that obey two distinguishing characteristics: a high clustering coefficient together with a small characteristic path length. This paper focuses on an interesting paradox, that…

Networking and Internet Architecture · Computer Science 2007-06-11 Matthias R. Brust , Steffen Rothkugel

The whole frame of interconnections in complex networks hinges on a specific set of structural nodes, much smaller than the total size, which, if activated, would cause the spread of information to the whole network [1]; or, if immunized,…

Physics and Society · Physics 2015-08-27 Flaviano Morone , Hernan A. Makse

Analyzing the brain in terms of organizational structures at intermediate scales provides an approach to negotiate the complexity arising from interactions between its large number of components. Focusing on a wiring diagram that spans the…

Neurons and Cognition · Quantitative Biology 2023-01-10 Anand Pathak , Shakti N. Menon , Sitabhra Sinha

The small-world phenomenon is found in many self-organising systems. Systems configured in small-world networks spread information more easily than in random or regular lattice-type networks. Whilst it is a known fact that small-world…

Physics and Society · Physics 2015-08-17 Eugene Ch'ng

We present an approach to study functional segregation and integration in the living brain based on community structure decomposition determined by maximum modularity. We demonstrate this method with a network derived from functional…

Neurons and Cognition · Quantitative Biology 2007-05-23 Adam J. Schwarz , Alessandro Gozzi , Angelo Bifone

We introduce the concept of efficiency of a network, measuring how efficiently it exchanges information. By using this simple measure small-world networks are seen as systems that are both globally and locally efficient. This allows to give…

Condensed Matter · Physics 2009-11-07 Vito Latora , Massimo Marchiori

In this study, the concept of small worlds is investigated in the context of large-scale wireless ad hoc and sensor networks. Wireless networks are spatial graphs that are usually much more clustered than random networks and have much…

Networking and Internet Architecture · Computer Science 2016-08-31 Ahmed Helmy

Small-world architectures may be implicated in a range of phenomena from disease propagation to networks of neurons in the cerebral cortex. While most of the recent attention on small-world networks has focussed on the effect of introducing…

Disordered Systems and Neural Networks · Physics 2007-05-23 Rajesh Kasturirangan

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

Disordered Systems and Neural Networks · Physics 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

Cellular function is widely believed to be organized in a modular fashion. On all scales and at all levels of complexity, relatively independent sub-units perform relatively independent sub-tasks of biological function. This functional…

Molecular Networks · Quantitative Biology 2010-12-22 Stefan Pinkert , Joerg Schultz , Joerg Reichardt

Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

Social and Information Networks · Computer Science 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

Synchronous firing of neurons is thought to play important functional roles such as feature binding and switching of cognitive states. Although synchronization has mainly been investigated using model neurons with simple connection topology…

Neurons and Cognition · Quantitative Biology 2024-11-26 Naoki Masuda , Kazuyuki Aihara

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. Clustering, community structure and assortative mixing by degree are perhaps among most prominent…

Physics and Society · Physics 2012-02-16 Lovro Šubelj , Marko Bajec

As a social media, online social networks play a vital role in the social information diffusion. However, due to its unique complexity, the mechanism of the diffusion in online social networks is different from the ones in other types of…

Social and Information Networks · Computer Science 2015-05-18 Jichang Zhao , Junjie Wu , Ke Xu

Diverse cognitive processes set different demands on locally segregated and globally integrated brain activity. However, it remains unclear how resting brains configure their functional organization to balance the demands on network…

Neurons and Cognition · Quantitative Biology 2022-04-25 Rong Wang , Mianxin Liu , Xinhong Cheng , Ying Wu , Andrea Hildebrandt , Changsong Zhou

Qualitatively, some real networks in the brain could be characterized as 'small worlds', in the sense that the structure of their connections is intermediate between the extremes of an orderly geometric arrangement and of a…

Neurons and Cognition · Quantitative Biology 2007-05-23 A. Anishchenko , E. Bienenstock , A. Treves

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

Neurons and Cognition · Quantitative Biology 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

Stanley Milgram's small world experiment presents "six degrees of separation" of our world. One phenomenon of the experiment still puzzling us is that how individuals operating with the social network information with their characteristics…

Physics and Society · Physics 2009-02-20 Yanqing Hu , Ying Fan , Zengru Di

The idea that complex systems have a hierarchical modular organization originates in the early 1960s and has recently attracted fresh support from quantitative studies of large scale, real-life networks. Here we investigate the hierarchical…

Data Analysis, Statistics and Probability · Physics 2010-04-20 D. Meunier , R. Lambiotte , A. Fornito , K. D. Ersche , E. T. Bullmore

At rest, human brain functional networks display striking modular architecture in which coherent clusters of brain regions are activated. The modular account of brain function is pervasive, reliable, and reproducible. Yet, a complementary…