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Triangle counting (TC) is a fundamental problem in graph analysis and has found numerous applications, which motivates many TC acceleration solutions in the traditional computing platforms like GPU and FPGA. However, these approaches suffer…

Hardware Architecture · Computer Science 2020-07-22 Xueyan Wang , Jianlei Yang , Yinglin Zhao , Yingjie Qi , Meichen Liu , Xingzhou Cheng , Xiaotao Jia , Xiaoming Chen , Gang Qu , Weisheng Zhao

Triangles are the basic substructure of networks and triangle counting (TC) has been a fundamental graph computing problem in numerous fields such as social network analysis. Nevertheless, like other graph computing problems, due to the…

Hardware Architecture · Computer Science 2021-12-02 Xueyan Wang , Jianlei Yang , Yinglin Zhao , Xiaotao Jia , Rong Yin , Xuhang Chen , Gang Qu , Weisheng Zhao

Counting triangles in a graph and incident to each vertex is a fundamental and frequently considered task of graph analysis. We consider how to efficiently do this for huge graphs using massively parallel distributed-memory machines.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-24 Peter Sanders , Tim Niklas Uhl

Processing large-scale graph datasets is computationally intensive and time-consuming. Processor-centric CPU and GPU architectures, commonly used for graph applications, often face bottlenecks caused by extensive data movement between the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-11 Marzieh Barkhordar , Alireza Tabatabaeian , Mohammad Sadrosadati , Christina Giannoula , Juan Gomez Luna , Izzat El Hajj , Onur Mutlu , Alaa R. Alameldeen

Processing-In-Memory (PIM) is a novel approach that augments existing DRAM memory chips with lightweight logic. By allowing to offload computations to the PIM system, this architecture allows for circumventing the data-bottleneck problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-18 André Lopes , Daniel Castro , Paolo Romano

Cryptographic algorithms such as AES-128 and SHA-256 are fundamental to ensuring data security and integrity. Although these algorithms are computationally efficient, their performance is often constrained by the processor-centric…

Cryptography and Security · Computer Science 2026-05-20 Nicola Barcarolo , Brahmaiah Gandham , Mohammad Sadrosadati , Roberto Passerone , Onur Mutlu , Flavio Vella

Listing and counting triangles in graphs is a key algorithmic kernel for network analyses including community detection, clustering coefficients, k-trusses, and triangle centrality. We design and implement a new serial algorithm for…

Data Structures and Algorithms · Computer Science 2023-09-21 David A. Bader

Triangle counting is a fundamental building block in graph algorithms. In this paper, we propose a block-based triangle counting algorithm to reduce data movement during both sequential and parallel execution. Our block-based formulation…

Data Structures and Algorithms · Computer Science 2020-09-29 Abdurrahman Yaşar , Sivasankaran Rajamanickam , Jonathan Berry , Ümit V. Çatalyürek

Triangle counting is a fundamental graph analytic operation that is used extensively in network science and graph mining. As the size of the graphs that needs to be analyzed continues to grow, there is a requirement in developing scalable…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-24 Ancy Sarah Tom , George Karypis

Many modern workloads such as neural network inference and graph processing are fundamentally memory-bound. For such workloads, data movement between memory and CPU cores imposes a significant overhead in terms of both latency and energy. A…

Hardware Architecture · Computer Science 2023-04-04 Juan Gómez-Luna , Izzat El Hajj , Ivan Fernandez , Christina Giannoula , Geraldo F. Oliveira , Onur Mutlu

Big graphs (networks) arising in numerous application areas pose significant challenges for graph analysts as these graphs grow to billions of nodes and edges and are prohibitively large to fit in the main memory. Finding the number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-19 Shaikh Arifuzzaman , Maleq Khan , Madhav Marathe

Triangle counting is a building block for a wide range of graph applications. Traditional wisdom suggests that i) hashing is not suitable for triangle counting, ii) edge-centric triangle counting beats vertex-centric design, and iii)…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-26 Santosh Pandey , Zhibin Wang , Sheng Zhong , Chen Tian , Bolong Zheng , Xiaoye Li , Lingda Li , Adolfy Hoisie , Caiwen Ding , Dong Li , Hang Liu

Modern computing systems are limited in performance by the memory bandwidth available to processors, a problem known as the memory wall. Processing-in-Memory (PIM) promises to substantially improve this problem by moving processing closer…

Cryptography and Security · Computer Science 2025-04-24 Sahar Ghoflsaz Ghinani , Jingyao Zhang , Elaheh Sadredini

Estimating the number of triangles in graph streams using a limited amount of memory has become a popular topic in the last decade. Different variations of the problem have been studied, depending on whether the graph edges are provided in…

Data Structures and Algorithms · Computer Science 2015-07-15 Laurent Bulteau , Vincent Froese , Konstantin Kutzkov , Rasmus Pagh

Triangle counting is an important problem in graph mining. Clustering coefficients of vertices and the transitivity ratio of the graph are two metrics often used in complex network analysis. Furthermore, triangles have been used…

Data Structures and Algorithms · Computer Science 2009-06-30 Charalampos E. Tsourakakis , Mihail N. Kolountzakis , Gary L. Miller

Our ISCA 2015 paper provides a new programmable processing-in-memory (PIM) architecture and system design that can accelerate key data-intensive applications, with a focus on graph processing workloads. Our major idea was to completely…

Hardware Architecture · Computer Science 2023-06-28 Junwhan Ahn , Sungpack Hong , Sungjoo Yoo , Onur Mutlu , Kiyoung Choi

This paper discusses recent research that aims to enable computation close to data, an approach we broadly call processing-in-memory (PIM). PIM places computation mechanisms in or near where the data is stored (i.e., inside memory chips or…

Hardware Architecture · Computer Science 2025-02-07 Onur Mutlu , Saugata Ghose , Juan Gómez-Luna , Rachata Ausavarungnirun , Mohammad Sadrosadati , Geraldo F. Oliveira

Triangle counting in hypergraph streams, including both hyper-vertex and hyper-edge triangles, is a fundamental problem in hypergraph analytics, with broad applications. However, existing methods face two key limitations: (i) an incomplete…

Data Structures and Algorithms · Computer Science 2025-09-03 Lingkai Meng , Long Yuan , Xuemin Lin , Wenjie Zhang , Ying Zhang

The performance of graph algorithms is often measured in terms of the number of traversed edges per second (TEPS). However, this performance metric is inadequate for a graph operation such as exact triangle counting. In triangle counting,…

Performance · Computer Science 2021-09-30 Mark P. Blanco , Scott McMillan , Tze Meng Low

The number of triangles in a graph is a fundamental metric, used in social network analysis, link classification and recommendation, and more. Driven by these applications and the trend that modern graph datasets are both large and dynamic,…

Databases · Computer Science 2013-08-12 Kanat Tangwongsan , A. Pavan , Srikanta Tirthapura
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