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Evolving multiplex networks are a powerful model for representing the dynamics along time of different phenomena, such as social networks, power grids, biological pathways. However, exploring the structure of the multiplex network time…

物理与社会 · 物理学 2016-01-11 Giuseppe Jurman

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

We consider methods for quantifying the similarity of vertices in networks. We propose a measure of similarity based on the concept that two vertices are similar if their immediate neighbors in the network are themselves similar. This leads…

物理与社会 · 物理学 2007-05-23 E. A. Leicht , Petter Holme , M. E. J. Newman

We study the statistical properties of the sampled networks by a random walker. We compare topological properties of the sampled networks such as degree distribution, degree-degree correlation, and clustering coefficient with those of the…

物理与社会 · 物理学 2009-11-13 Sooyeon Yoon , Sungmin Lee , Soon-Hyung Yook , Yup Kim

For successful estimation, the usual network tomography algorithms crucially require i) end-to-end data generated using multicast probe packets, real or emulated, and ii) the network to be a tree rooted at a single sender with destinations…

网络与互联网体系结构 · 计算机科学 2012-11-02 Gugan Thoppe

Torus networks of moderate degree have been widely used in the supercomputer industry. Tori are superb when used for executing applications that require near-neighbor communications. Nevertheless, they are not so good when dealing with…

分布式、并行与集群计算 · 计算机科学 2013-11-11 Cristóbal Camarero , Carmen Martínez , Ramón Beivide

A major problem in the study of complex socioeconomic systems is represented by privacy issues$-$that can put severe limitations on the amount of accessible information, forcing to build models on the basis of incomplete knowledge. In this…

In communication networks theory the concepts of networkness and network surplus have recently been defined. Together with transmission and betweenness centrality, they were based on the assumption of equal communication between vertices.…

组合数学 · 数学 2017-12-05 Suzana Antunović , Tonći Kokan , Tanja Vojković , Damir Vukičević

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

The topology of the Internet has typically been measured by sampling traceroutes, which are roughly shortest paths from sources to destinations. The resulting measurements have been used to infer that the Internet's degree distribution is…

无序系统与神经网络 · 物理学 2013-05-29 Aaron Clauset , Cristopher Moore

Network detection is an important capability in many areas of applied research in which data can be represented as a graph of entities and relationships. Oftentimes the object of interest is a relatively small subgraph in an enormous,…

社会与信息网络 · 计算机科学 2018-04-12 Steven T. Smith , Kenneth D. Senne , Scott Philips , Edward K. Kao , Garrett Bernstein

Manifolds are complex topological spaces that can be used to represent datasets of real-world measurements. Visualizing such manifolds can help with illustrating their topological characteristics (e.g., curvature) and providing insights…

网络与互联网体系结构 · 计算机科学 2025-09-11 Stephen Jasina , Loqman Salamatian , Joshua Mathews , Scott Anderson , Paul Barford , Mark Crovella , Walter Willinger

Complex networks are universal, arising in fields as disparate as sociology, physics, and biology. In the past decade, extensive research into the properties and behaviors of complex systems has uncovered surprising commonalities among the…

其他定量生物学 · 定量生物学 2015-06-26 Claire Christensen , Reka Albert

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

数据分析、统计与概率 · 物理学 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

统计力学 · 物理学 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

In weighted graphs the shortest path between two nodes is often reached through an indirect path, out of all possible connections, leading to structural redundancies which play key roles in the dynamics and evolution of complex networks. We…

社会与信息网络 · 计算机科学 2023-06-14 Felipe Xavier Costa , Rion Brattig Correia , Luis M. Rocha

The theory of random graphs goes back to the late 1950s when Paul Erd\H{o}s and Alfr\'ed R\'enyi introduced the Erd\H{o}s-R\'enyi random graph. Since then many models have been developed, and the study of random graph models has become…

概率论 · 数学 2014-09-09 Philippe Deprez , Mario V. Wüthrich

The use of complex networks as a modern approach to understanding the world and its dynamics is well-established in literature. The adjacency matrix, which provides a one-to-one representation of a complex network, can also yield several…

社会与信息网络 · 计算机科学 2023-01-23 Mariane B. Neiva , Odemir M. Bruno

The metric dimension of a graph is the smallest number of nodes required to identify all other nodes based on shortest path distances uniquely. Applications of metric dimension include discovering the source of a spread in a network,…

组合数学 · 数学 2021-04-16 Richard C. Tillquist , Rafael M. Frongillo , Manuel E. Lladser

It is becoming increasingly common to see large collections of network data objects -- that is, data sets in which a network is viewed as a fundamental unit of observation. As a result, there is a pressing need to develop network-based…

统计理论 · 数学 2019-02-08 Eric Kolaczyk , Lizhen Lin , Steven Rosenberg , Jie Xu , Jackson Walters
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