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Using numerical simulations and scaling theory we study the dynamics of the world-wide Web from the growth rules recently proposed in Ref. [1] with appropriate parameters. We demonstrate that the emergence of power-law behavior of the out-…

统计力学 · 物理学 2009-11-07 Bosiljka Tadic

In this study we have carried out computer simulations of random walks on Watts-Strogatz-type small world networks and measured the mean number of visited sites and the return probabilities. These quantities were found to obey scaling…

统计力学 · 物理学 2009-11-07 Jani Lahtinen , János Kertész , Kimmo Kaski

In the practical work of websites popularization, analysis of their efficiency and downloading it is of key importance to take into account web-ratings data. The main indicators of website traffic include the number of unique hosts from…

信息检索 · 计算机科学 2010-06-18 D. V. Lande , A. A. Snarskii

In this paper we analyze the US Patient Referral Network (also called the Shared Patient Network) and various subnetworks for the years 2009--2015. In these networks two physicians are linked if a patient encounters both of them within a…

社会与信息网络 · 计算机科学 2017-11-10 Chuankai An , A. James O'Malley , Daniel N. Rockmore , Corey D. Stock

We performed a large-scale crawl of the World Wide Web, covering 6.9 Million domains and 57 Million subdomains, including all high-traffic sites of the Internet. We present a study of the correlations found between quantities measuring the…

物理与社会 · 物理学 2015-06-12 G. A. Luduena , H. Meixner , Gregor Kaczor , Claudius Gros

We study the detailed growth of a social networking site with full temporal information by examining the creation process of each friendship relation that can collectively lead to the macroscopic properties of the network. We first study…

物理与社会 · 物理学 2015-06-03 Haibo Hu , Xiaofan Wang

Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such…

统计力学 · 物理学 2011-11-11 Yichao Zhang , Shi Zhou , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou , Guanrong Chen

We compare two link analysis ranking methods of web pages in a site. The first, called Site Rank, is an adaptation of PageRank to the granularity of a web site and the second, called Popularity Rank, is based on the frequencies of user…

人工智能 · 计算机科学 2007-05-23 Jose Borges , Mark Levene

The co-evolution between network structure and functional performance is a fundamental and challenging problem whose complexity emerges from the intrinsic interdependent nature of structure and function. Within this context, we investigate…

神经与进化计算 · 计算机科学 2016-05-10 Daniel R. Figueiredo , Michele Garetto

Networks created and maintained by social processes, such as the human friendship network and the World Wide Web, appear to exhibit the property of navigability: namely, not only do short paths exist between any pair of nodes, but such…

凝聚态物理 · 物理学 2007-05-23 Aaron Clauset , Cristopher Moore

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring…

物理与社会 · 物理学 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

The rate equations are used to study the scale-free behavior of the weight distribution in evolving networks whose topology is determined only by degrees of preexisting vertices. An analysis of these equations shows that the degree…

无序系统与神经网络 · 物理学 2007-05-23 W. Jezewski

We study random walk with adaptive move strategies on a class of directed graphs with variable wiring diagram. The graphs are grown from the evolution rules compatible with the dynamics of the world-wide Web [Tadi\'c, Physica A {\bf 293},…

统计力学 · 物理学 2009-11-07 Bosiljka Tadic

Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

物理与社会 · 物理学 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

We introduce and simulate the random walk that adapts move strategies according to local node preferences on a directed graph. We consider graphs with double-hierarchical connectivity and variable wiring diagram in the universality class of…

统计力学 · 物理学 2007-05-23 Bosiljka Tadic

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

物理与社会 · 物理学 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

Nodes can be ranked according to their relative importance within the network. Ranking algorithms based on random walks are particularly useful because they connect topological and diffusive properties of the network. Previous methods based…

物理与社会 · 物理学 2014-06-17 Luis Enrique Correa Rocha , Naoki Masuda

In this article we will look at the PageRank algorithm used as part of the ranking process of different Internet pages in search engines by for example Google. This article has its main focus in the understanding of the behavior of PageRank…

信息检索 · 计算机科学 2014-01-24 Christopher Engström , Sergei Silvestrov

In this paper we deal with the structural properties of weighted networks. Starting from an empirical analysis of a linguistic network, we analyse the differences between the statistical properties of a real and a shuffled network and we…

数据分析、统计与概率 · 物理学 2009-09-07 A. P. Masucci , G. J. Rodgers

We study pattern formation, fluctuations and scaling induced by a growth-promoting active walker on an otherwise static interface. Active particles on an interface define a simple model for energy consuming proteins embedded in the plasma…

统计力学 · 物理学 2019-11-28 Prachi Bisht , Mustansir Barma