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Related papers: On the initial value of PageRank

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In this paper we analyze the PageRank of a complex network as a function of its personalization vector. By using this approach, a complete characterization of the existence and uniqueness of fixed points of PageRank of a graph is given in…

Social and Information Networks · Computer Science 2025-07-28 David Aleja , Julio Flores , Eva Primo , Daniel Rodríguez , Miguel Romance

The purpose of the research is to find a centrality measure that can be used in place of PageRank and to find out the conditions where we can use it in place of PageRank. After analysis and comparison of graphs with a large number of nodes…

Social and Information Networks · Computer Science 2022-01-24 Suvarna Saumya Chandrashekhar , Mashrin Srivastava , B. Jaganathan , Pankaj Shukla

Link-analysis algorithms, such as PageRank, are instrumental in understanding the structural dynamics of networks by evaluating the importance of individual vertices based on their connectivity. Recently, with the rising importance of…

Social and Information Networks · Computer Science 2025-12-15 Honglian Wang , Haoyun Chen , Aristides Gionis

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

In this work we introduce and study a nonlocal version of the PageRank. In our approach, the random walker explores the graph using longer excursions than just moving between neighboring nodes. As a result, the corresponding ranking of the…

Social and Information Networks · Computer Science 2021-03-10 Stefano Cipolla , Fabio Durastante , Francesco Tudisco

Algorithmic fairness has attracted significant attention in the past years. Surprisingly, there is little work on fairness in networks. In this work, we consider fairness for link analysis algorithms and in particular for the celebrated…

Social and Information Networks · Computer Science 2021-03-25 Sotiris Tsioutsiouliklis , Evaggelia Pitoura , Panayiotis Tsaparas , Ilias Kleftakis , Nikos Mamoulis

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

We study the relation between PageRank and other parameters of information networks such as in-degree, out-degree, and the fraction of dangling nodes. We model this relation through a stochastic equation inspired by the original definition…

Probability · Mathematics 2008-04-03 Yana Volkovich , Nelly Litvak , Debora Donato

Initially used to rank web pages, PageRank has now been applied in many fields. In general case, there are plenty of special vertices such as dangling vertices and unreferenced vertices in the graph. Existing PageRank algorithms usually…

Networking and Internet Architecture · Computer Science 2023-03-07 Qi Zhang , Zhengan Yao , Jun Liang , Zanbo Zhang

Online platforms mediate access to opportunity: relevance-based rankings create and constrain options by allocating exposure to job openings and job candidates in hiring platforms, or sellers in a marketplace. In order to do so responsibly,…

Information Retrieval · Computer Science 2023-06-07 Aparna Balagopalan , Abigail Z. Jacobs , Asia Biega

We present new algorithms for Personalized PageRank estimation and Personalized PageRank search. First, for the problem of estimating Personalized PageRank (PPR) from a source distribution to a target node, we present a new bidirectional…

Data Structures and Algorithms · Computer Science 2015-12-16 Peter Lofgren , Siddhartha Banerjee , Ashish Goel

Since the advent of the Internet, quantifying the relative importance of web pages is at the core of search engine methods. According to one algorithm, PageRank, the worldwide web structure is represented by the Google matrix, whose…

Disordered Systems and Neural Networks · Physics 2021-04-07 Kirill P. Kalinin , Natalia G. Berloff

This study develops PureRank, a parameter-free importance measure for network nodes based on the recursive definition of importance (RDI). For any directed network, PureRank uniquely determines an importance score vector without…

Social and Information Networks · Computer Science 2026-05-08 Hiroyuki Masuyama

The way pages are ranked in search results influences whether the users of search engines are exposed to more homogeneous, or rather to more diverse viewpoints. However, this viewpoint diversity is not trivial to assess. In this paper we…

Information Retrieval · Computer Science 2021-07-06 Tim Draws , Nava Tintarev , Ujwal Gadiraju , Alessandro Bozzon , Benjamin Timmermans

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

We study the problem of score and rank monotonicity for spectral ranking methods, such as eigenvector centrality and PageRank, in the case of undirected networks. Score monotonicity means that adding an edge increases the score at both ends…

Social and Information Networks · Computer Science 2022-02-03 Paolo Boldi , Flavio Furia , Sebastiano Vigna

On the Web, visits of a page are often introduced by one or more valuable linking sources. Indeed, good back links are valuable resources for Web pages and sites. We propose to discovering and leveraging the best backlinks of pages for…

Information Retrieval · Computer Science 2012-10-08 Hengshuai Yao

In this paper we have modified the existing page ranking mechanism as an advanced Page Rank Algorithm based on Semantics Inlinks Outlinks and Google Analytics. We have used Semantics page ranking to rank pages according to the word searched…

Social and Information Networks · Computer Science 2017-09-12 Aritra Banerjee , Shrey Choudhary

The bipartite graph is a ubiquitous data structure that can model the relationship between two entity types: for instance, users and items, queries and webpages. In this paper, we study the problem of ranking vertices of a bipartite graph,…

Information Retrieval · Computer Science 2017-08-16 Xiangnan He , Ming Gao , Min-Yen Kan , Dingxian Wang

We give a new link spam detection and PageRank demotion algorithm called MaxRank. Like TrustRank and AntiTrustRank, it starts with a seed of hand-picked trusted and spam pages. We define the MaxRank of a page as the frequency of visit of…

Optimization and Control · Mathematics 2017-04-14 Olivier Fercoq