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We study the contact process on a class of evolving scale-free networks, where each node updates its connections at independent random times. We give a rigorous mathematical proof that there is a transition between a phase where for all…

概率论 · 数学 2015-12-03 Emmanuel Jacob , Peter Mörters

Performance of standard processes over large distributed networks typically scales with the size of the network. For example, in planar topologies where nodes communicate with their natural neighbors, the scaling factor is $O(n)$, where $n$…

分布式、并行与集群计算 · 计算机科学 2019-02-18 Abhinav Mishra

The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has $x$ requests to transmit, then it receives a fraction of the capacity proportional to $\log(1+x)$,…

概率论 · 数学 2015-09-10 Philippe Robert , Amandine Véber

In citation networks, the activity of papers usually decreases with age and dormant papers may be discovered and become fashionable again. To model this phenomenon, a competition mechanism is suggested which incorporates two factors:…

物理与社会 · 物理学 2013-08-27 Xue-Wen Wang , Li-Jie Zhang , Guo-Hong Yang , Xin-Jian Xu

Random walks process on networks plays a fundamental role in understanding the importance of nodes and the similarity of them, which has been widely applied in PageRank, information retrieval, and community detection, etc. Individual's…

物理与社会 · 物理学 2021-01-13 Bing Wang , Hongjuan Zeng , Yuexing Han

This paper studies the topological properties of the World Trade Web (WTW) and its evolution over time by employing a weighted network analysis. We show that the WTW, viewed as a weighted network, displays statistical features that are very…

综合金融 · 定量金融 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

物理与社会 · 物理学 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

This paper deals with the detection and prediction of losses due to cyber attacks waged on vital networks. The accumulation of losses to a network during a series of attacks is modeled by a 2-dimensional monotone random walk process as…

概率论 · 数学 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

In the present work, we study random walks on complex networks subject to stochastic resetting when the resetting probability is node-dependent. Using a renewal approach, we derive the exact expressions of the stationary occupation…

统计力学 · 物理学 2022-05-05 Yanfei Ye , Hanshuang Chen

Temporal networks are such networks where nodes and interactions may appear and disappear at various time scales. With the evidence of ubiquity of temporal networks in our economy, nature and society, it's urgent and significant to focus on…

社会与信息网络 · 计算机科学 2014-01-15 Yujian Pan , Xiang Li

Most complex networks serve as conduits for various dynamical processes, ranging from mass transfer by chemical reactions in the cell to packet transfer on the Internet. We collected data on the time dependent activity of five natural and…

无序系统与神经网络 · 物理学 2009-11-10 M. Argollo de Menezes , A-L. Barabasi

Is visitors' attendance a fair indicator of a web site's quality? Internet sub-domains are usually characterized by power law distributions of visits, thus suggesting a richer-get-richer process. If this is the case, the number of visits is…

适应与自组织系统 · 物理学 2015-06-26 G. Bianconi , P. Laureti , Y. -K. Yu , Y. -C. Zhang

We present an empirical study of different social networks obtained from digital repositories. Our analysis reveals the community structure and provides a useful visualising technique. We investigate the scaling properties of the community…

统计力学 · 物理学 2009-11-10 Alex Arenas , Leon Danon , Albert Diaz-Guilera , Pablo M. Gleiser , Roger Guimera

Several populational networks present complex topologies when implemented in evolutionary algorithms. A common feature of these topologies is the emergence of a power law. Power law behavior with different scaling factors can also be…

统计计算 · 统计学 2022-03-08 Francisco Leonardo Bezerra Martins , José Cláudio do Nascimento

We introduce a new framework for web page ranking -- reinforcement ranking -- that improves the stability and accuracy of Page Rank while eliminating the need for computing the stationary distribution of random walks. Instead of relying on…

信息检索 · 计算机科学 2013-03-26 Hengshuai Yao , Dale Schuurmans

This article constructs the residual network after some regions were damaged and detached from the original crystal network. This residual crystal network simulates the situation where parts of a computer system or power system failed after…

物理与社会 · 物理学 2023-11-14 Xie Bingyan , Wu Bo

In general, the power-law degree distribution has profound influence on various dynamical processes defined on scale-free networks. In this paper, we will show that power-law degree distribution alone does not suffice to characterize the…

统计力学 · 物理学 2009-12-09 Zhongzhi Zhang , Weilen Xie , Shuigeng Zhou , Mo Li , Jihong Guan

In the information overloaded web, personalized recommender systems are essential tools to help users find most relevant information. The most heavily-used recommendation frameworks assume user interactions that are characterized by a…

信息检索 · 计算机科学 2017-03-06 Fatemeh Vahedian , Robin Burke , Bamshad Mobasher

Complex networks have been studied extensively due to their relevance to many real systems as diverse as the World-Wide-Web (WWW), the Internet, energy landscapes, biological and social networks…

无序系统与神经网络 · 物理学 2009-11-11 Chaoming Song , Shlomo Havlin , Hernan A. Makse

Time-varying networks describe a wide array of systems whose constituents and interactions evolve over time. They are defined by an ordered stream of interactions between nodes, yet they are often represented in terms of a sequence of…

统计力学 · 物理学 2013-10-23 Bruno Ribeiro , Nicola Perra , Andrea Baronchelli