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Spatial networks are a powerful framework for studying a large variety of systems belonging to a broad diversity of contexts: from transportation to biology, from epidemiology to communications, and migrations, to cite a few. Spatial…

物理与社会 · 物理学 2020-04-08 Ignacio Morer , Alessio Cardillo , Albert Diaz-Guilera , Luce Prignano , Sergi Lozano

Supplementing a lattice with long-range connections effectively models small-world networks characterized by a high local and global interconnectedness observed in systems ranging from society to the brain. If the links have a wiring cost…

无序系统与神经网络 · 物理学 2007-05-23 Thomas Petermann , Paolo De Los Rios

In this paper we consider spatial networks that realize a balance between an infrastructure cost (the cost of wire needed to connect the network in space) and communication efficiency, measured by average shortest pathlength. A global…

无序系统与神经网络 · 物理学 2015-05-19 Markus Brede

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

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

It is widely believed that the formation of brain network structure is under the pressure of optimal trade-off between reducing wiring cost and promoting communication efficiency. However, the question of whether this trade-off exists in…

神经元与认知 · 定量生物学 2020-12-10 Junji Ma , Jinbo Zhang , Ying Lin , Zhengjia Dai

Supplementing a lattice with long-range connections effectively models small-world networks characterized by a high local and global interconnectedness observed in systems ranging from society to the brain. If the links have a wiring cost…

无序系统与神经网络 · 物理学 2007-05-23 Thomas Petermann , Paolo De Los Rios

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…

凝聚态物理 · 物理学 2009-11-07 Vito Latora , Massimo Marchiori

The current framework of network utility maximization for distributed rate allocation assumes fixed channel code rates. However, by adapting the physical layer channel coding, different rate-reliability tradeoffs can be achieved on each…

网络与互联网体系结构 · 计算机科学 2007-05-23 Jang-Won Lee , Mung Chiang , A. Robert Calderbank

It is a critical issue to compute the shortest paths between nodes in networks. Exact algorithms for shortest paths are usually inapplicable for large scale networks due to the high computational complexity. In this paper, we propose a…

社会与信息网络 · 计算机科学 2015-06-29 Shi-nan Gong , Duan-bing Chen , Hui Gao , Guan-nan Wang , Liang-wei Wang

We investigate small-world networks from the point of view of their origin. While the characteristics of small-world networks are now fairly well understood, there is as yet no work on what drives the emergence of such a network…

无序系统与神经网络 · 物理学 2009-10-31 Nisha Mathias , Venkatesh Gopal

How to efficiently design a communication network is a paramount task for network designing and engineering. It is, however, not a single objective optimization process as perceived by most previous researches, i.e., to maximize its…

网络与互联网体系结构 · 计算机科学 2015-05-14 Guoqiang Zhang

In this Letter we investigate networks that have been optimized to realize a trade-off between enhanced synchronization and cost of wire to connect the nodes in space. Analyzing the evolved arrangement of nodes in space and their…

无序系统与神经网络 · 物理学 2015-05-19 M. Brede

The construction of large-scale, low-latency networks becomes difficult as the number of nodes increases. In general, the way to construct a theoretically optimal solution is unknown. However, it is known that some methods can construct…

组合数学 · 数学 2016-09-01 Ryosuke Mizuno , Yawara Ishida

This paper presents an algorithm to automatically design networks with torus topologies, such as ones widely used in large-scale supercomputers. The characteristic feature of our approach is that real life equipment prices and values of…

分布式、并行与集群计算 · 计算机科学 2013-01-29 Konstantin S. Solnushkin

Most of the real world networks such as the internet network, collaboration networks, brain networks, citation networks, powerline and airline networks are very large and to study their structure, and dynamics one often requires working…

物理与社会 · 物理学 2020-05-05 Richa Tripathi , Amit Reza

The Watts-Strogatz algorithm transferring a regular lattice to the small world network is modified by introducing preferential rewiring constrained by connectivity demand. The probability to link to/ unlink form a node is dependent on a…

材料科学 · 物理学 2007-05-23 Danuta Makowiec

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

Among the several topological properties of complex networks, the shortest path represents a particularly important characteristic because of its potential impact not only on other topological properties, but mainly for its influence on…

社会与信息网络 · 计算机科学 2020-03-30 Guilherme S. Domingues , Cesar H. Comin , Luciano da F. Costa

One of the challenges for future infrastructures is how to design a network with high efficiency and strong connectivity at low cost. We propose self-organized geographical networks beyond the vulnerable scale-free structure found in many…

物理与社会 · 物理学 2015-05-30 Yukio Hayashi , Yuki Meguro
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