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We analyze the distribution of PageRank on a directed configuration model and show that as the size of the graph grows to infinity it can be closely approximated by the PageRank of the root node of an appropriately constructed tree. This…

Probability · Mathematics 2014-08-18 Ningyuan Chen , Nelly Litvak , Mariana Olvera-Cravioto

This note extends the analysis of incremental PageRank in [B. Bahmani, A. Chowdhury, and A. Goel. Fast Incremental and Personalized PageRank. VLDB 2011]. In that work, the authors prove a running time of $O(\frac{nR}{\epsilon^2} \ln(m))$ to…

Data Structures and Algorithms · Computer Science 2014-04-15 Peter Lofgren

In this paper we explore the PageRank of temporal networks on both discrete and continuous time scales in the presence of personalization vectors that vary over time. Also the underlying interplay between the discrete and continuous…

Social and Information Networks · Computer Science 2024-07-10 David Aleja , Julio Flores , Eva Primo , Miguel Romance

In this paper, a model about the evolution of opinion on small world networks is proposed. We studied the macro-behavior of the agents' opinion and the relative change rate as time elapses. The external field was found to play an important…

Pattern Formation and Solitons · Physics 2009-11-11 YunFeng Chang , Long Guo , Xu Cai

Network theory is a useful framework for studying interconnected systems of interacting entities. Many networked systems evolve continuously in time, but most existing methods for the analysis of time-dependent networks rely on discrete or…

Physics and Society · Physics 2021-01-05 Walid Ahmad , Mason A. Porter , Mariano Beguerisse-Díaz

We introduce a new framework for web page ranking -- reinforcement ranking -- that improves the stability and accuracy of Page Rank while eliminating the need for computing the stationary distribution of random walks. Instead of relying on…

Information Retrieval · Computer Science 2013-03-26 Hengshuai Yao , Dale Schuurmans

The Web has become a large-scale real-time information system forcing us to revise both how to effectively assess relevance of information for a user and how to efficiently implement information retrieval and dissemination functionality. To…

Databases · Computer Science 2016-10-21 Nelly Vouzoukidou , Bernd Amann , Vassilis Christophides

The adaptive social learning paradigm helps model how networked agents are able to form opinions on a state of nature and track its drifts in a changing environment. In this framework, the agents repeatedly update their beliefs based on…

Social and Information Networks · Computer Science 2023-03-15 Valentina Shumovskaia , Mert Kayaalp , Mert Cemri , Ali H. Sayed

In considering a social network, there are cases where people is transferred to another place. Then the physical (direct) relations among nodes are lost by the movement. In terms of a network theory, some nodes break the present connections…

Physics and Society · Physics 2007-05-23 Norihito Toyota

A new simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level. According to local information agents decide whether to…

Statistical Mechanics · Physics 2009-11-07 X. Guardiola , A. Diaz-Guilera , C. J. Perez , A. Arenas , M. Llas

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

Mobile P2P technology provides a scalable approach to content delivery to a large number of users on their mobile devices. In this work, we study the dissemination of a \emph{single} content (e.g., an item of news, a song or a video clip)…

Social and Information Networks · Computer Science 2011-08-01 Srinivasan Venkatramanan , Anurag Kumar

Seeded PageRank is an important network analysis tool for identifying and studying regions nearby a given set of nodes, which are called seeds. The seeded PageRank vector is the stationary distribution of a random walk that randomly resets…

Social and Information Networks · Computer Science 2017-05-23 David F. Gleich , Kyle Kloster , Huda Nassar

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…

Statistical Mechanics · Physics 2011-11-11 Yichao Zhang , Shi Zhou , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou , Guanrong Chen

The Web graph is a giant social network whose properties have been measured and modeled extensively in recent years. Most such studies concentrate on the graph structure alone, and do not consider textual properties of the nodes.…

Information Retrieval · Computer Science 2018-02-15 Soumen Chakrabarti , Mukul M. Joshi , Kunal Punera , David M. Pennock

Nowadays, information describing navigation behaviour of internet users are used in several fields, e-commerce, economy, sociology and data science. Such information can be extracted from different knowledge bases, including…

Social and Information Networks · Computer Science 2020-08-18 Célestin Coquidé , Włodzimierz Lewoniewski

The ranking incentives of many authors of Web pages play an important role in the Web dynamics. That is, authors who opt to have their pages highly ranked for queries of interest, often respond to rankings for these queries by manipulating…

Information Retrieval · Computer Science 2020-06-29 Ziv Vasilisky , Moshe Tennenholtz , Oren Kurland

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, we explore a process called neural teleportation, a mathematical consequence of applying quiver representation theory to neural networks. Neural teleportation "teleports" a network to a new position in the weight space and…

Several recent studies of online social networking platforms have found that adoption rates and engagement levels are positively correlated with structural diversity, the degree of heterogeneity among an individual's contacts as measured by…

Social and Information Networks · Computer Science 2019-09-11 Jessica Su , Krishna Kamath , Aneesh Sharma , Johan Ugander , Sharad Goel