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We study the typical behavior of a generalized version of Google's PageRank algorithm on a large family of inhomogeneous random digraphs. This family includes as special cases directed versions of classical models such as the…

Probability · Mathematics 2020-11-13 Jiung Lee , Mariana Olvera-Cravioto

Patterns often appear in a variety of large, real-world networks, and interesting physical phenomena are often explained by network topology as in the case of the bow-tie structure of the World Wide Web, or the small world phenomenon in…

Social and Information Networks · Computer Science 2016-05-23 Corey Pennycuff , Tim Weninger

In this paper, a statistical analysis of the structure of one blog community, a kind of social networks, is presented. The quantities such as degree distribution, clustering coefficient, average shortest path length are calculated to…

Statistics Theory · Mathematics 2007-06-13 Feng Fu , Lianghuan Liu , Kai Yang , Long 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

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

We study the properties of the Google matrix generated by a coarse-grained Perron-Frobenius operator of the Chirikov typical map with dissipation. The finite size matrix approximant of this operator is constructed by the Ulam method. This…

Information Retrieval · Computer Science 2010-03-19 D. L. Shepelyansky , O. V. Zhirov

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

We characterize the tail behavior of the distribution of the PageRank of a uniformly chosen vertex in a directed preferential attachment graph and show that it decays as a power law with an explicit exponent that is described in terms of…

Probability · Mathematics 2021-10-20 Sayan Banerjee , Mariana Olvera-Cravioto

PageRank and the Bradley-Terry model are competing approaches to ranking entities such as teams in sports tournaments or journals in citation networks. The Bradley-Terry model is a classical statistical method for ranking based on paired…

Methodology · Statistics 2024-02-13 David Antony Selby

In this paper, we introduce a novel method that combines multiple neural network results to decide the class of the input. This is the first study which used the method for web pages classification. In our model, each element is represented…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Fahri Aydos , A. Murat Özbayoğlu , Yahya Şirin , M. Fatih Demirci

The choice of the PageRank damping factor is not evident. The Google's choice for the value c=0.85 was a compromise between the true reflection of the Web structure and numerical efficiency. However, the Markov random walk on the original…

Probability · Mathematics 2007-05-23 Konstantin Avrachenkov , Nelly Litvak , Kim Son Pham

Many systems, including the Internet, social networks, and the power grid, can be represented as graphs. When analyzing graphs, it is often useful to compute scores describing the relative importance or distance between nodes. One example…

Social and Information Networks · Computer Science 2021-05-05 Daniel Vial , Vijay Subramanian

A $k$-ranking of a graph $G$ is a labeling of its vertices from $\{1,\ldots,k\}$ such that any nontrivial path whose endpoints have the same label contains a larger label. The least $k$ for which $G$ has a $k$-ranking is the ranking number…

Combinatorics · Mathematics 2014-01-16 Daniel C. McDonald

Recently bipartite graphs have been widely used to represent the relationship two sets of items for information retrieval applications. The Web offers a wide range of data which can be represented by bipartite graphs, such us movies and…

Information Retrieval · Computer Science 2015-07-21 Antonia Korba

Ranking functions such as PageRank assign numeric values (ranks) to nodes of graphs, most notably the web graph. Node rankings are an integral part of Internet search algorithms, since they can be used to order the results of queries.…

Data Structures and Algorithms · Computer Science 2023-06-05 Gwendolyn Farach-Colton , Martin Farach-Colton , Leslie Ann Goldberg , Hanna Komlos , John Lapinskas , Reut Levi , Moti Medina , Miguel A. Mosteiro

A ranking is an ordered sequence of items, in which an item with higher ranking score is more preferred than the items with lower ranking scores. In many information systems, rankings are widely used to represent the preferences over a set…

Artificial Intelligence · Computer Science 2017-09-22 Zhiwei Lin , Yi Li , Xiaolian Guo

Search engine results pages are usually abstracted as binary relevance vectors and hence are categorical data, meaning that only a limited set of operations is permitted, most notably tabulation of occurrence frequencies, with determination…

Information Retrieval · Computer Science 2023-12-21 Alistair Moffat

We study a simple embedding technique based on a matrix of personalized PageRank vectors seeded on a random set of nodes. We show that the embedding produced by the element-wise logarithm of this matrix (1) are related to the spectral…

Social and Information Networks · Computer Science 2022-07-26 Disha Shur , Yufan Huang , David F. Gleich

The importance of a node in a directed graph can be measured by its PageRank. The PageRank of a node is used in a number of application contexts - including ranking websites - and can be interpreted as the average portion of time spent at…

Data Structures and Algorithms · Computer Science 2014-05-22 Balázs Csanád Csáji , Raphaël M. Jungers , Vincent D. Blondel

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