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Related papers: Fast Distributed PageRank Computation

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Graph embedding, representing local and global neighborhood information by numerical vectors, is a crucial part of the mathematical modeling of a wide range of real-world systems. Among the embedding algorithms, random walk-based algorithms…

Social and Information Networks · Computer Science 2022-07-06 Sarmad N. Mohammed , Semra Gündüç

We propose a new algorithm, FAST-PPR, for estimating personalized PageRank: given start node $s$ and target node $t$ in a directed graph, and given a threshold $\delta$, FAST-PPR estimates the Personalized PageRank $\pi_s(t)$ from $s$ to…

Data Structures and Algorithms · Computer Science 2014-08-25 Peter Lofgren , Siddhartha Banerjee , Ashish Goel , C. Seshadhri

As a measure of vertex importance according to the graph structure, PageRank has been widely applied in various fields. While many PageRank algorithms have been proposed in the past decades, few of them take into account whether the graph…

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

Graph partition is a fundamental problem of parallel computing for big graph data. Many graph partition algorithms have been proposed to solve the problem in various applications, such as matrix computations and PageRank, etc., but none has…

Social and Information Networks · Computer Science 2015-01-05 Xiaoming Liu , Yadong Zhou , Xiaohong Guan

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

Graph-structured data arise in wide applications, such as computer vision, bioinformatics, and social networks. Quantifying similarities among graphs is a fundamental problem. In this paper, we develop a framework for computing graph…

Machine Learning · Statistics 2018-09-11 Zhen Zhang , Mianzhi Wang , Yijian Xiang , Yan Huang , Arye Nehorai

PageRank is a widespread model for analysing the relative relevance of nodes within large graphs arising in several applications. In the current paper, we present a cost-effective Hessenberg-type method built upon the Hessenberg process for…

Numerical Analysis · Mathematics 2023-06-13 Xian-Ming Gu , Siu-Long Lei , Ke Zhang , Zhao-Li Shen , Chun Wen , Bruno Carpentieri

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

In the real world a graph is often fragmented and distributed across different sites. This highlights the need for evaluating queries on distributed graphs. This paper proposes distributed evaluation algorithms for three classes of queries:…

Databases · Computer Science 2012-08-02 Wenfei Fan , Xin Wang , Yinghui Wu

PageRank (PR) is a fundamental tool for assessing the relative importance of the nodes in a network. In this paper, we propose a measure, weighted PageRank (WPR), extended from the classical PR for weighted, directed networks with possible…

Physics and Society · Physics 2021-05-18 Panpan Zhang , Tiandong Wang , Jun Yan

We study robust and efficient distributed algorithms for building and maintaining distributed data structures in dynamic Peer-to-Peer (P2P) networks. P2P networks are characterized by a high level of dynamicity with abrupt heavy node…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 John Augustine , Antonio Cruciani , Iqra Altaf Gillani

Efficient computation of node proximity queries such as transition probabilities, Personalized PageRank, and Katz are of fundamental importance in various graph mining and learning tasks. In particular, several recent works leverage fast…

Data Structures and Algorithms · Computer Science 2021-11-29 Hanzhi Wang , Mingguo He , Zhewei Wei , Sibo Wang , Ye Yuan , Xiaoyong Du , Ji-Rong Wen

With the continuous popularity of deep learning and representation learning, fast vector search becomes a vital task in various ranking/retrieval based applications, say recommendation, ads ranking and question answering. Neural network…

Information Retrieval · Computer Science 2023-12-29 Weijie Zhao , Shulong Tan , Ping Li

Random walk centrality is a fundamental metric in graph mining for quantifying node importance and influence, defined as the weighted average of hitting times to a node from all other nodes. Despite its ability to capture rich graph…

Artificial Intelligence · Computer Science 2025-10-24 Changan Liu , Zixuan Xie , Ahad N. Zehmakan , Zhongzhi Zhang

In this article we will present a graph partitioning algorithm which partitions a graph into two different types of components: the well-known `strongly connected components' as well as another type of components we call `connected acyclic…

Data Structures and Algorithms · Computer Science 2016-09-30 Christopher Engström , Sergei Silvestrov

The quantum SearchRank algorithm is a promising tool for a future quantum search engine based on PageRank quantization. However, this algorithm loses its functionality when the $N/M$ ratio between the network size $N$ and the number of…

Quantum Physics · Physics 2024-10-22 Sergio A. Ortega , Miguel A. Martin-Delgado

The PageRank of a graph is a scalar function defined on the node set of the graph which encodes nodes centrality information of the graph. In this article, we use the PageRank function along with persistent homology to obtain a scalable…

Computational Geometry · Computer Science 2020-09-15 Mustafa Hajij , Elizabeth Munch , Paul Rosen

We study the computational complexity of locally estimating a node's PageRank centrality in a directed graph $G$. For any node $t$, its PageRank centrality $\pi(t)$ is defined as the probability that a random walk in $G$, starting from a…

Data Structures and Algorithms · Computer Science 2026-01-21 Mikkel Thorup , Hanzhi Wang , Zhewei Wei , Mingji Yang

PageRank is a well-known algorithm for measuring centrality in networks. It was originally proposed by Google for ranking pages in the World-Wide Web. One of the intriguing empirical properties of PageRank is the so-called `power-law…

Probability · Mathematics 2018-03-19 Alessandro Garavaglia , Remco van der Hofstad , Nelly Litvak

PageRank is a famous measure of graph centrality that has numerous applications in practice. The problem of computing a single node's PageRank has been the subject of extensive research over a decade. However, existing methods still incur…

Data Structures and Algorithms · Computer Science 2023-07-27 Hanzhi Wang , Zhewei Wei