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PageRank is a widely used centrality measure that assesses the significance of vertices in a graph by considering their connections and the importance of those connections. Efficiently updating PageRank on dynamic graphs is essential for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Subhajit Sahu

PageRank is a metric that assigns importance to the vertices of a graph based on its neighbors and their scores. Recently, there has been increasing interest in computing PageRank on dynamic graphs, where the graph structure evolves due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Subhajit Sahu

PageRank is a widely used centrality measure that "ranks" vertices in a graph by considering the connections and their importance. In this report, we first introduce one of the most efficient GPU implementations of Static PageRank, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-25 Subhajit Sahu

PageRank is a well-known algorithm whose robustness helps set a standard benchmark when processing graphs and analytical problems. The PageRank algorithm serves as a standard for many graph analytics and a foundation for extracting graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Hemalatha Eedi , Sahith Karra , Sathya Peri , Neha Ranabothu , Rahul Utkoor

Community detection is the problem of recognizing natural divisions in networks. A relevant challenge in this problem is to find communities on rapidly evolving graphs. In this report we present our Parallel Dynamic Frontier (DF) Louvain…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-10 Subhajit Sahu

PageRank is a graph centrality metric that gives the importance of each node in a given graph. The PageRank algorithm provides important insights to understand the behavior of nodes through the connections they form with other nodes. It is…

Data Structures and Algorithms · Computer Science 2022-03-18 Shalini Jain , Rahul Utkoor , Hemalatha Eedi , Sathya Peri , Ramakrishna Upadrasta

This paper initiates the studies of parallel algorithms for core maintenance in dynamic graphs. The core number is a fundamental index reflecting the cohesiveness of a graph, which are widely used in large-scale graph analytics. The core…

Data Structures and Algorithms · Computer Science 2017-01-02 Na Wang , Dongxiao Yu , Hai Jin , Chen Qian , Xia Xie , Qiang-Sheng Hua

The core numbers of vertices in a graph are one of the most well-studied cohesive subgraph models because of the linear running time. In practice, many data graphs are dynamic graphs that are continuously changing by inserting or removing…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-14 Bin Guo , Emil Sekerinski

Real-world graphs often evolve over time, making community or cluster detection a crucial task. In this technical report, we extend three dynamic approaches - Naive-dynamic (ND), Delta-screening (DS), and Dynamic Frontier (DF) - to our…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-30 Subhajit Sahu

We consider the PageRank problem in the dynamic setting, where the goal is to explicitly maintain an approximate PageRank vector $\pi \in \mathbb{R}^n$ for a graph under a sequence of edge insertions and deletions. Our main result is a…

Data Structures and Algorithms · Computer Science 2024-05-20 Rajesh Jayaram , Jakub Łącki , Slobodan Mitrović , Krzysztof Onak , Piotr Sankowski

PageRank is a fundamental link analysis algorithm that also functions as a key representative of the performance of Sparse Matrix-Vector (SpMV) multiplication. The traditional PageRank implementation generates fine granularity random memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-08 Kartik Lakhotia , Rajgopal Kannan , Viktor Prasanna

We propose and analyze two algorithms for maintaining approximate Personalized PageRank (PPR) vectors on a dynamic graph, where edges are added or deleted. Our algorithms are natural dynamic versions of two known local variations of power…

Data Structures and Algorithms · Computer Science 2017-12-27 Hongyang Zhang , Peter Lofgren , Ashish Goel

Finding central nodes is a fundamental problem in network analysis. Betweenness centrality is a well-known measure which quantifies the importance of a node based on the fraction of shortest paths going though it. Due to the dynamic nature…

Data Structures and Algorithms · Computer Science 2017-04-28 Elisabetta Bergamini , Henning Meyerhenke , Mark Ortmann , Arie Slobbe

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

Network embedding, a graph representation learning method illustrating network topology by mapping nodes into lower-dimension vectors, is challenging to accommodate the ever-changing dynamic graphs in practice. Existing research is mainly…

Social and Information Networks · Computer Science 2023-06-16 Haoran Deng , Yang Yang , Jiahe Li , Haoyang Cai , Shiliang Pu , Weihao Jiang

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 core number of a vertex is a basic index depicting cohesiveness of a graph, and has been widely used in large-scale graph analytics. In this paper, we study the update of core numbers of vertices in dynamic graphs with edge…

Data Structures and Algorithms · Computer Science 2017-03-14 Na Wang , Dongxiao Yu , Hai Jin , Qiang-Sheng Hua , Xuanhua Shi , Xia Xie

Graphs are found in a plethora of domains, including online social networks, the World Wide Web and the study of epidemics, to name a few. With the advent of greater volumes of information and the need for continuously updated results under…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-19 Miguel E. Coimbra , Sérgio Esteves , Alexandre P. Francisco , Luís Veiga

This study introduces a new metric called ''DynamicScore'' to evaluate the dynamics of graphs. It can be applied to both vertices and edges. Unlike traditional metrics, DynamicScore not only measures changes in the number of vertices or…

Discrete Mathematics · Computer Science 2023-09-12 Vincent Bridonneau , Frédéric Guinand , Yoann Pigné

In this article, we study the efficient dynamical computation of all-pairs SimRanks on time-varying graphs. Li {\em et al}.'s approach requires $O(r^4 n^2)$ time and $O(r^2 n^2)$ memory in a graph with $n$ nodes, where $r$ is the target…

Databases · Computer Science 2017-11-02 Weiren Yu , Xuemin Lin , Wenjie Zhang , Julie A. McCann
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