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Random walks on discrete lattices are fundamental models that form the basis for our understanding of transport and diffusion processes. For a single random walker on complex networks, many properties such as the mean first passage time and…

Statistical Mechanics · Physics 2018-12-21 Aanjaneya Kumar , M. S. Santhanam

We characterize the statistical properties of a large number of agents on two major online auction sites. The measurements indicate that the total number of bids placed in a single category and the number of distinct auctions frequented by…

Statistical Mechanics · Physics 2009-11-10 I. Yang , H. Jeong , B. Kahng , A. -L. Barabasi

PageRank is an algorithm introduced in 1998 and used by the Google Internet search engine. It assigns a numerical value to each element of a set of hyperlinked documents (that is, web pages) within the World Wide Web with the purpose of…

Systems and Control · Computer Science 2013-12-09 Hideaki Ishii , Roberto Tempo

In this work, we introduce a novel metric for auditing group fairness in ranked lists. Our approach offers two benefits compared to the state of the art. First, we offer a blueprint for modeling of user attention. Rather than assuming a…

Computers and Society · Computer Science 2019-05-14 Piotr Sapiezynski , Wesley Zeng , Ronald E. Robertson , Alan Mislove , Christo Wilson

The paper introduces a novel mechanism for approximating traffic of the academic sites (universities and research institutes) in the World Wide Web based on Alexa rankings. Firstly we introduce and discuss new method for calculating score…

Digital Libraries · Computer Science 2020-04-14 Bahram Kalhor , Mohammad Reza Ghane , Alireza Nikravanshalmani

Using a simple deterministic model for the Internet graph we show that the eigenvalue power law distribution for its adjacency matrix is a direct consequence of the degree distribution and that the graph must contain many star subgraphs.

Other Condensed Matter · Physics 2009-11-10 Francesc Comellas , Silvia Gago

The World-Wide Web (WWW) is characterized by a strong community structure in which communities of webpages (e.g. those sharing a common keyword) are densely interconnected by hyperlinks. We study how such network architecture affects the…

Other Condensed Matter · Physics 2007-05-23 Huafeng Xie , Koon-Kiu Yan , Sergei Maslov

With the evolution of the online advertisement and tracking ecosystem, content-filtering has become the reference tool for improving the security, privacy and browsing experience when surfing the Internet. It is also commonly believed that…

Networking and Internet Architecture · Computer Science 2020-02-06 Ismael Castell-Uroz , Josep Solé-Pareta , Pere Barlet-Ros

In the double rank analysis of research publications, the local rank position of a country or institution publication is expressed as a function of the world rank position. Excluding some highly or lowly cited publications, the double rank…

Digital Libraries · Computer Science 2018-02-07 Ricardo Brito , Alonso Rodriguez-Navarro

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

Disordered Systems and Neural Networks · Physics 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

We study the emergence of a power law distribution in the systems which can be characterized by a hierarchically organized supplying network. It is shown that conservation laws on the branches of the network can, at some approximation,…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 V. Gafiychuk , I. Lubashevsky , A. Stosyk

A new experiment measuring the dynamical response of the Internet population to a ``point-like'' perturbation has been performed. The nature of the perturbation was that of an announcement, specifically a web-interview on stock market…

Statistical Mechanics · Physics 2009-11-07 Anders Johansen

There are several ideas being used today for Web information retrieval, and specifically in Web search engines. The PageRank algorithm is one of those that introduce a content-neutral ranking function over Web pages. This ranking is applied…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Giorgos Kollias , Efstratios Gallopoulos , Daniel B. Szyld

Decisions in a shareholder meeting or a legislative committee are often modeled as a weighted game. Influence of a member is then measured by a power index. A large variety of different indices has been introduced in the literature. This…

Computer Science and Game Theory · Computer Science 2018-05-08 Sascha Kurz

Internet is known to display a highly heterogeneous structure and complex fluctuations in its traffic dynamics. Congestion seems to be an inevitable result of user's behavior coupled to the network dynamics and it effects should be…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sergi Valverde , Ricard V. Sole

Web requests are growing exponentially since the 90s due to the rapid development of the Internet. This process was further accelerated by the introduction of cloud services. It has been observed statistically that memory or web requests…

Data Structures and Algorithms · Computer Science 2024-01-15 Mathieu Mari , Anish Mukherjee , Runtian Ren , Piotr Sankowski

Network growth is currently explained through mechanisms that rely on node prestige measures, such as degree or fitness. In many real networks those who create and connect nodes do not know the prestige values of existing nodes, but only…

Disordered Systems and Neural Networks · Physics 2007-05-23 Santo Fortunato , Alessandro Flammini , Filippo Menczer

We study diffusion of information packets on several classes of structured networks. Packets diffuse from a randomly chosen node to a specified destination in the network. As local transport rules we consider random diffusion and an…

Statistical Mechanics · Physics 2015-06-24 Bosiljka Tadic , Stefan Thurner

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…

Computation · Statistics 2022-03-08 Francisco Leonardo Bezerra Martins , José Cláudio do Nascimento

Traditional approaches to ranking in web search follow the paradigm of rank-by-score: a learned function gives each query-URL combination an absolute score and URLs are ranked according to this score. This paradigm ensures that if the score…

Machine Learning · Computer Science 2012-07-03 Or Sheffet , Nina Mishra , Samuel Ieong