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PageRank is a well-known centrality measure for the web used in search engines, representing the importance of each web page. In this paper, we follow the line of recent research on the development of distributed algorithms for computation…

Systems and Control · Electrical Eng. & Systems 2019-07-24 Atsushi Suzuki , Hideaki Ishii

The PageRank algorithm employed at Google assigns a measure of importance to each web page for rankings in search results. In our recent papers, we have proposed a distributed randomized approach for this algorithm, where web pages are…

Systems and Control · Computer Science 2016-11-15 Hideaki Ishii , Roberto Tempo , Er-Wei Bai

The PageRank algorithm employed by Google quantifies the importance of each page by the link structure of the web. To reduce the computational burden the distributed randomized PageRank algorithms (DRPA) recently appeared in literature…

Systems and Control · Computer Science 2013-05-15 Wenxiao Zhao , Han-Fu Chen , Hai-Tao Fang

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

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 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…

Information Retrieval · Computer Science 2014-01-24 Christopher Engström , Sergei Silvestrov

The PageRank algorithm is used to rank web pages by their importance. Since its development, the PageRank algorithm is a critical and fundamental part of search engines today. PageRank is a graph-based algorithm that ranks pages based on…

Quantum Physics · Physics 2023-04-25 Christopher Sims

Over the last decade, PageRank has gained importance in a wide range of applications and domains, ever since it first proved to be effective in determining node importance in large graphs (and was a pioneering idea behind Google's search…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-26 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan , Eli Upfal

PageRank is a Web page ranking technique that has been a fundamental ingredient in the development and success of the Google search engine. The method is still one of the many signals that Google uses to determine which pages are most…

Information Retrieval · Computer Science 2010-08-17 Massimo Franceschet

As the use of web is increasing more day by day, the web users get easily lost in the web's rich hyper structure. The main aim of the owner of the website is to give the relevant information according their needs to the users. We explained…

Information Retrieval · Computer Science 2012-08-10 Laxmi Choudhary , Bhawani Shankar Burdak

Google's PageRank method was developed to evaluate the importance of web-pages via their link structure. The mathematics of PageRank, however, are entirely general and apply to any graph or network in any domain. Thus, PageRank is now…

Social and Information Networks · Computer Science 2014-07-22 David F. Gleich

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

The majority of Semantic Web search engines retrieve information by focusing on the use of concepts and relations restricted to the query provided by the user. By trying to guess the implicit meaning between these concepts and relations,…

Information Retrieval · Computer Science 2012-11-28 Manuel Rojas

PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant information or to the success of modern businesses, the…

Physics and Society · Physics 2012-12-10 Seung-Woo Son , Claire Christensen , Peter Grassberger , Maya Paczuski

This work studies a fully distributed algorithm for computing the PageRank vector, which is inspired by the Matching Pursuit and features: 1) a fully distributed implementation 2) convergence in expectation with exponential rate 3) low…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-23 Liang Dai , Nikolaos M. Freris

Google's PageRank has created a new synergy to information retrieval for a better ranking of Web pages. It ranks documents depending on the topology of the graphs and the weights of the nodes. PageRank has significantly advanced the field…

Digital Libraries · Computer Science 2010-12-23 Ying Ding , Erjia Yan , Arthur Frazho , James Caverlee

Randomized algorithms provide solutions to two ubiquitous problems: (1) the distributed calculation of a principal component analysis or singular value decomposition of a highly rectangular matrix, and (2) the distributed calculation of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-09 Huamin Li , Yuval Kluger , Mark Tygert

A distributed algorithm performs local computations on pieces of input and communicates the results through given communication links. When processing a massive graph in a distributed algorithm, local outputs must be configured as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Fan Chung , Olivia Simpson

PageRank, the prestige measure for Web pages used by Google, is the stationary probability of a peculiar random walk on directed graphs, which interpolates between a pure random walk and a process where all nodes have the same probability…

Physics and Society · Physics 2015-06-26 Santo Fortunato , Alessandro Flammini

When we search online for content, we are constantly exposed to rankings. For example, web search results are presented as a ranking, and online bookstores often show us lists of best-selling books. While popularity-based ranking algorithms…

Physics and Society · Physics 2019-03-28 Shilun Zhang , Matúš Medo , Linyuan Lü , Manuel Sebastian Mariani
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