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Since its recent introduction, the small-world effect has been identified in several important real-world systems. Frequently, it is a consequence of the existence of a few long-range connections, which dominate the original regular…

物理与社会 · 物理学 2011-05-05 Matheus P. Viana , Luciano da F. Costa

Structure and dynamics of complex networks usually deal with degree distributions, clustering, shortest path lengths and other graph properties. Although these concepts have been analysed for graphs on abstract spaces, many networks happen…

统计力学 · 物理学 2009-11-13 M. O. Hase , J. F. F. Mendes

Although most networks in nature exhibit complex topology the origins of such complexity remains unclear. We introduce a model of a growing network of interacting agents in which each new agent's membership to the network is determined by…

无序系统与神经网络 · 物理学 2009-09-02 J. I. Perotti , O. V. Billoni , F. A. Tamarit , D. R. Chialvo , S. A. Cannas

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

Many geophysical processes can be modelled by using interconnected networks. The small-world network model has recently attracted much attention in physics and applied sciences. In this paper, we try to use and modify the small-world theory…

地球物理 · 物理学 2015-05-18 Xin-She Yang

This paper introduces a model of self-organization between communication and topology in social networks, with a feedback between different communication habits and the topology. To study this feedback, we let agents communicate to build a…

物理与社会 · 物理学 2007-05-23 M. Rosvall , K. Sneppen

A classic experiment by Milgram shows that individuals can route messages along short paths in social networks, given only simple categorical information about recipients (such as "he is a prominent lawyer in Boston" or "she is a Freshman…

社会与信息网络 · 计算机科学 2011-10-21 David Eppstein , Michael T. Goodrich , Maarten Löffler , Darren Strash , Lowell Trott

Inspired by the structure of technological networks, we discuss network evolution mechanisms which give rise to topological properties found in real spatial networks. Thus, the peculiar structure of transport and distribution networks is…

物理与社会 · 物理学 2009-11-13 R. Xulvi-Brunet , I. M. Sokolov

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

物理与社会 · 物理学 2017-09-19 Jürgen Hackl , Bryan T. Adey

With advancements in microelectromechanical systems, low-power integrated circuits, and wireless communications, wireless sensor networks (WSNs) have become increasingly significant [1][2]. These distributed networks enable efficient…

网络与互联网体系结构 · 计算机科学 2025-01-07 Michael Simon , Salwa M. Din , Raja Jamal Chib

Small-world networks by Watts and Strogatz are a class of networks that are highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs. These characteristics result in networks with unique…

适应与自组织系统 · 物理学 2011-09-27 Qawi K. Telesford , Karen E. Joyce , Satoru Hayasaka , Jonathan H. Burdette , Paul J. Laurienti

Networks are mathematical structures that are universally used to describe a large variety of complex systems such as the brain or the Internet. Characterizing the geometrical properties of these networks has become increasingly relevant…

物理与社会 · 物理学 2015-05-26 Zhihao Wu , Giulia Menichetti , Christoph Rahmede , Ginestra Bianconi

The mathematical study of the small-world concept has fostered quite some interest, showing that small-world features can be identified for some abstract classes of networks. However, passing to real complex systems, as for instance…

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

A classic experiment by Milgram shows that individuals can route messages along short paths in social networks, given only simple categorical information about recipients (such as "he is a prominent lawyer in Boston" or "she is a Freshman…

社会与信息网络 · 计算机科学 2011-08-24 David Eppstein , Michael T. Goodrich , Maarten Löffler , Darren Strash , Lowell Trott

During the last decade of network research focusing on structural and dynamical properties of networks, the role of network users has been more or less underestimated from the bird's-eye view of global perspective. In this era of global…

物理与社会 · 物理学 2013-04-18 Sang Hoon Lee , Petter Holme

We propose a dynamical model in which a network structure evolves in a self-organized critical (SOC) manner and explain a possible origin of the emergence of fractal and small-world networks. Our model combines a network growth and its…

物理与社会 · 物理学 2015-07-22 Akitomo Watanabe , Shogo Mizutaka , Kousuke Yakubo

Many real-world complex systems such as social, biological, information as well as technological systems results of a decentralized and unplanned evolution which leads to a common structuration. Irrespective of their origin, these so-called…

社会与信息网络 · 计算机科学 2013-05-03 Chantal Cherifi , Jean-François Santucci

Small-world networks, i.e. networks displaying both a high clustering coefficient and a small characteristic path length, are obliquitous in nature. Since their identification, the "small-worldness" metric, as proposed by Humphries and…

物理与社会 · 物理学 2015-05-15 Massimiliano Zanin

The fundamental idea of embedding a network in a metric space is rooted in the principle of proximity preservation. Nodes are mapped into points of the space with pairwise distance that reflects their proximity in the network. Popular…

物理与社会 · 物理学 2021-01-15 Yi-Jiao Zhang , Kai-Cheng Yang , Filippo Radicchi

A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

生物物理 · 物理学 2009-11-13 Murray Shanahan