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Counting and finding triangles in graphs is often used in real-world analytics to characterize cohesiveness and identify communities in graphs. In this paper, we propose the novel concept of a cover-edge set that can be used to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 David A. Bader , Fuhuan Li , Anya Ganeshan , Ahmet Gundogdu , Jason Lew , Oliver Alvarado Rodriguez , Zhihui Du

Networks are a natural representation of complex systems across the sciences, and higher-order dependencies are central to the understanding and modeling of these systems. However, in many practical applications such as online social…

Social and Information Networks · Computer Science 2020-10-28 Nesreen K. Ahmed , Nick Duffield

In this paper we present improved results on the problem of counting triangles in edge streamed graphs. For graphs with $m$ edges and at least $T$ triangles, we show that an extra look over the stream yields a two-pass treaming algorithm…

Data Structures and Algorithms · Computer Science 2016-03-10 Graham Cormode , Hossein Jowhari

Many well-known, real-world problems involve dynamic data which describe the relationship among the entities. Hypergraphs are powerful combinatorial structures that are frequently used to model such data. For many of today's data-centric…

Data Structures and Algorithms · Computer Science 2021-03-10 Fatih Taşyaran , Berkay Demireller , Kamer Kaya , Bora Uçar

Graphs and networks are used to model interactions in a variety of contexts. There is a growing need to quickly assess the characteristics of a graph in order to understand its underlying structure. Some of the most useful metrics are…

Social and Information Networks · Computer Science 2014-12-02 Tamara G. Kolda , Ali Pinar , Todd Plantenga , C. Seshadhri , Christine Task

Processing large-scale graphs, containing billions of entities, is critical across fields like bioinformatics, high-performance computing, navigation and route planning, among others. Efficient graph partitioning, which divides a graph into…

Data Structures and Algorithms · Computer Science 2024-10-11 Adil Chhabra , Florian Kurpicz , Christian Schulz , Dominik Schweisgut , Daniel Seemaier

This paper investigates parallel random sampling from a potentially-unending data stream whose elements are revealed in a series of element sequences (minibatches). While sampling from a stream was extensively studied sequentially, not much…

Data Structures and Algorithms · Computer Science 2019-06-11 Kanat Tangwongsan , Srikanta Tirthapura

Downsampling images and labels, often necessitated by limited resources or to expedite network training, leads to the loss of small objects and thin boundaries. This undermines the segmentation network's capacity to interpret images…

Image and Video Processing · Electrical Eng. & Systems 2024-10-27 Shahzad Ali , Yu Rim Lee , Soo Young Park , Won Young Tak , Soon Ki Jung

Sampling is a widely used graph reduction technique to accelerate graph computations and simplify graph visualizations. By comprehensively analyzing the literature on graph sampling, we assume that existing algorithms cannot effectively…

Social and Information Networks · Computer Science 2020-09-17 Ying Zhao , Haojin Jiang , Qi'an Chen , Yaqi Qin , Huixuan Xie , Yitao Wu Shixia Liu , Zhiguang Zhou , Jiazhi Xia , Fangfang Zhou

In the recent years, the scale of graph datasets has increased to such a degree that a single machine is not capable of efficiently processing large graphs. Thereby, efficient graph partitioning is necessary for those large graph…

Data Structures and Algorithms · Computer Science 2019-02-06 Md Anwarul kaium Patwary , Saurabh Garg , Byeong Kang

Embedding networks into a fixed dimensional feature space, while preserving its essential structural properties is a fundamental task in graph analytics. These feature vectors (graph descriptors) are used to measure the pairwise similarity…

Databases · Computer Science 2020-02-20 Zohair Raza Hassan , Mudassir Shabbir , Imdadullah Khan , Waseem Abbas

Understanding the higher-order interactions within network data is a key objective of network science. Surveys of metadata triangles (or patterned 3-cycles in metadata-enriched graphs) are often of interest in this pursuit. In this work, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-27 Trevor Steil , Tahsin Reza , Keita Iwabuchi , Benjamin W. Priest , Geoffrey Sanders , Roger Pearce

In this paper, we consider the problems from the area of sublinear-time algorithms of edge sampling, edge counting, and triangle counting. Part of our contribution is that we consider three different settings, differing in the way in which…

Data Structures and Algorithms · Computer Science 2022-04-13 Jakub Tětek , Mikkel Thorup

Many applications produce massive complex networks whose analysis would benefit from parallel processing. Parallel algorithms, in turn, often require a suitable network partition. For solving optimization tasks such as graph partitioning on…

Data Structures and Algorithms · Computer Science 2014-02-14 Roland Glantz , Henning Meyerhenke , Christian Schulz

Bipartite networks manifest as a stream of edges that represent transactions, e.g., purchases by retail customers. Many machine learning applications employ neighborhood-based measures to characterize the similarity among the nodes, such as…

Social and Information Networks · Computer Science 2018-05-09 Nesreen K. Ahmed , Nick Duffield , Liangzhen Xia

Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with…

Social and Information Networks · Computer Science 2023-09-28 Zhen Su , Jürgen Kurths , Henning Meyerhenke

In this paper we propose a new algorithm for streaming principal component analysis. With limited memory, small devices cannot store all the samples in the high-dimensional regime. Streaming principal component analysis aims to find the…

Machine Learning · Statistics 2018-02-16 Puyudi Yang , Cho-Jui Hsieh , Jane-Ling Wang

Channel Pruning is one of the most widespread techniques used to compress deep neural networks while maintaining their performances. Currently, a typical pruning algorithm leverages neural architecture search to directly find networks with…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Shiguang Wang , Tao Xie , Haijun Liu , Xingcheng Zhang , Jian Cheng

Graph partitioning plays a vital role in distributedlarge-scale web graph analytics, such as pagerank and labelpropagation. The quality and scalability of partitioning strategyhave a strong impact on such communication- and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Deyu Kong , Xike Xie , Zhuoxu Zhang

Given an undirected graph $G=(V,E)$ on $n$ vertices, $m$ edges, and an integer $t\ge 1$, a subgraph $(V,E_S)$, $E_S\subseteq E$ is called a $t$-spanner if for any pair of vertices $u,v \in V$, the distance between them in the subgraph is at…

Data Structures and Algorithms · Computer Science 2007-05-23 Surender Baswana