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This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

The effect of adjusting damping factor {\alpha} and tolerance {\tau} on iterations needed for PageRank computation is studied here. Relative performance of PageRank computation with L1, L2, and L{\infty} norms used as convergence check, are…

Discrete Mathematics · Computer Science 2021-08-09 Subhajit Sahu , Kishore Kothapalli , Dip Sankar Banerjee

PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant information or to the success of modern businesses, the…

Physics and Society · Physics 2012-12-10 Seung-Woo Son , Claire Christensen , Peter Grassberger , Maya Paczuski

Network analysis defines a number of centrality measures to identify the most central nodes in a network. Fast computation of those measures is a major challenge in algorithmic network analysis. Aside from closeness and betweenness, Katz…

Data Structures and Algorithms · Computer Science 2018-07-12 Alexander van der Grinten , Elisabetta Bergamini , Oded Green , David A. Bader , Henning Meyerhenke

The trade-off between pull-based and push-based graph processing engines is well-understood. On one hand, pull-based engines can achieve higher throughput because their workloads are read-dominant, rather than write-dominant, and can…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-20 Samuel Grossman , Christos Kozyrakis

On an evolving graph that is continuously updated by a high-velocity stream of edges, how can one efficiently maintain if two vertices are connected? This is the connectivity problem, a fundamental and widely studied problem on graphs. We…

Data Structures and Algorithms · Computer Science 2016-02-18 Natcha Simsiri , Kanat Tangwongsan , Srikanta Tirthapura , Kun-Lung Wu

Graph processing on GPUs is gaining momentum due to the high throughputs observed compared to traditional CPUs, attributed to the vast number of processing cores on GPUs that can exploit parallelism in graph analytics. This paper discusses…

Data Structures and Algorithms · Computer Science 2023-07-27 Rohith Krishnan S , Venkata Kalyan Tavva , Rupesh Nasre

Graphs have been widely used in many applications such as social networks, collaboration networks, and biological networks. One important graph analytics is to explore cohesive subgraphs in a large graph. Among several cohesive subgraphs…

Databases · Computer Science 2016-10-19 Yikai Zhang , Jeffrey Xu Yu , Ying Zhang , Lu Qin

Given a query graph that represents a pattern of interest, the emerging pattern detection problem can be viewed as a continuous query problem on a dynamic graph. We present an incremental algorithm for continuous query processing on dynamic…

Databases · Computer Science 2014-07-15 Sutanay Choudhury , Lawrence Holder , George Chin , Patrick Mackey , Khushbu Agarwal , John Feo

As the calculation of centrality in complex networks becomes increasingly vital across technological, biological, and social systems, precise and scalable ranking methods are essential for understanding these networks. This paper introduces…

Social and Information Networks · Computer Science 2025-01-30 Hao Ren , Jiaojiao Jiang

Betweenness centrality is a classic measure that quantifies the importance of a graph element (vertex or edge) according to the fraction of shortest paths passing through it. This measure is notoriously expensive to compute, and the best…

Data Structures and Algorithms · Computer Science 2015-04-29 Nicolas Kourtellis , Gianmarco De Francisci Morales , Francesco Bonchi

In this paper we present new improvement ideas of the original PageRank algorithm. The first idea is to introduce an evaluation of the statistical reliability of the ranking score of each node based on the local graph property and the…

Information Retrieval · Computer Science 2012-02-14 Dohy Hong

Semi-supervised and unsupervised machine learning methods often rely on graphs to model data, prompting research on how theoretical properties of operators on graphs are leveraged in learning problems. While most of the existing literature…

Analysis of PDEs · Mathematics 2021-01-12 Amber Yuan , Jeff Calder , Braxton Osting

Emerging reconfigurable datacenters allow to dynamically adjust the network topology in a demand-aware manner. These datacenters rely on optical switches which can be reconfigured to provide direct connectivity between racks, in the form of…

Networking and Internet Architecture · Computer Science 2025-03-19 Kathrin Hanauer , Monika Henzinger , Lara Ost , Stefan Schmid

In this paper, we present an on-line fully dynamic algorithm for maintaining strongly connected component of a directed graph in a shared memory architecture. The edges and vertices are added or deleted concurrently by fixed number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-11 Muktikanta Sa

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

Databases · Computer Science 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

The widespread use of graph data in various applications and the highly dynamic nature of today's networks have made it imperative to analyze structural trends in dynamic graphs on a continual basis. The shortest path is a fundamental…

Databases · Computer Science 2023-07-13 Qingshuai Feng , You Peng , Wenjie Zhang , Xuemin Lin , Ying Zhang

Graph neural networks (GNNs) are gaining increasing popularity as a promising approach to machine learning on graphs. Unlike traditional graph workloads where each vertex/edge is associated with a scalar, GNNs attach a feature tensor to…

Machine Learning · Computer Science 2020-09-30 Yuwei Hu , Zihao Ye , Minjie Wang , Jiali Yu , Da Zheng , Mu Li , Zheng Zhang , Zhiru Zhang , Yida Wang

The significance of the PageRank algorithm in shaping the modern Internet cannot be overstated, and its Complex Network theory foundations continue to be a subject of research. In this article we carry out a systematic study of the…

Physics and Society · Physics 2023-10-11 Gonzalo Contreras-Aso , Regino Criado , Miguel Romance

In this paper we study the problem of dynamically maintaining graph properties under batches of edge insertions and deletions in the massively parallel model of computation. In this setting, the graph is stored on a number of machines, each…

Data Structures and Algorithms · Computer Science 2019-08-07 David Durfee , Laxman Dhulipala , Janardhan Kulkarni , Richard Peng , Saurabh Sawlani , Xiaorui Sun