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There is a trivial $O(\frac{n^3}{T})$ time algorithm for approximate triangle counting where $T$ is the number of triangles in the graph and $n$ the number of vertices. At the same time, one may count triangles exactly using fast matrix…

Data Structures and Algorithms · Computer Science 2021-05-18 Jakub Tětek

The problem of counting occurrences of query graphs in a large data graph, known as subgraph counting, is fundamental to several domains such as genomics and social network analysis. Many important special cases (e.g. triangle counting)…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-05 Venkatesan T. Chakaravarthy , Michael Kapralov , Prakash Murali , Fabrizio Petrini , Xinyu Que , Yogish Sabharwal , Baruch Schieber

This paper reports on the details of the International Competition on Graph Counting Algorithms (ICGCA) held in 2023. The graph counting problem is to count the subgraphs satisfying specified constraints on a given graph. The problem…

Data Structures and Algorithms · Computer Science 2023-09-15 Takeru Inoue , Norihito Yasuda , Hidetomo Nabeshima , Masaaki Nishino , Shuhei Denzumi , Shin-ichi Minato

Triangle centrality is introduced for finding important vertices in a graph based on the concentration of triangles surrounding each vertex. It has the distinct feature of allowing a vertex to be central if it is in many triangles or none…

Data Structures and Algorithms · Computer Science 2024-10-16 Paul Burkhardt

Developing kernels for Processing-In-Memory (PIM) platforms poses unique challenges in data management and parallel programming on limited processing units. Although software development kits (SDKs) for PIM, such as the UPMEM SDK, provide…

Hardware Architecture · Computer Science 2025-10-21 Krystian Chmielewski , Jarosław Ławnicki , Uladzislau Lukyanau , Tadeusz Kobus , Maciej Maciejewski

We address the problem of computing the distribution of induced connected subgraphs, aka \emph{graphlets} or \emph{motifs}, in large graphs. The current state-of-the-art algorithms estimate the motif counts via uniform sampling, by…

Data Structures and Algorithms · Computer Science 2021-07-20 Marco Bressan , Stefano Leucci , Alessandro Panconesi

Counting (p,q)-bicliques in bipartite graphs poses a foundational challenge with broad applications, from densest subgraph discovery in algorithmic research to personalized content recommendation in practical scenarios. Despite its…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-21 Linshan Qiu , Zhonggen Li , Xiangyu Ke , Lu Chen , Yunjun Gao

With rapid integration of power sources with uncertainty, robustness must be carefully considered in the transmission constrained unit commitment (TCUC) problem. The overall computational complexity of the robust TCUC methods is closely…

Optimization and Control · Mathematics 2018-10-16 Xuan Li , Qiaozhu Zhai , Xiaohong Guan

Processing-in-memory (PIM) architecture is an inherent match for data analytics application, but we observe major challenges to address when accelerating it using PIM. In this paper, we propose Darwin, a practical LRDIMM-based multi-level…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Donghyuk Kim , Jae-Young Kim , Wontak Han , Jongsoon Won , Haerang Choi , Yongkee Kwon , Joo-Young Kim

Digital memristive processing-in-memory overcomes the memory wall through a fundamental storage device capable of stateful logic within crossbar arrays. Dynamically dividing the crossbar arrays by adding memristive partitions further…

Hardware Architecture · Computer Science 2022-06-10 Orian Leitersdorf , Ronny Ronen , Shahar Kvatinsky

We study the problem of estimating the number of triangles in a graph stream. No streaming algorithm can get sublinear space on all graphs, so methods in this area bound the space in terms of parameters of the input graph such as the…

Data Structures and Algorithms · Computer Science 2019-04-18 John Kallaugher , Eric Price

Processing-in-Memory (PIM) has emerged as a promising computing paradigm to address the memory wall and the fundamental bottleneck of the von Neumann architecture by reducing costly data movement between memory and processing units. As with…

Hardware Architecture · Computer Science 2025-12-02 Mahdi Aghaei , Saba Ebrahimi , Mohammad Saleh Arafati , Elham Cheshmikhani , Dara Rahmati , Saeid Gorgin , Jungrae Kim

There is growing interest in graph pattern mining (GPM) problems such as motif counting. GPM systems have been developed to provide unified interfaces for programming algorithms for these problems and for running them on parallel systems.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Xuhao Chen , Roshan Dathathri , Gurbinder Gill , Keshav Pingali

Kernel functions are vital ingredients of several machine learning algorithms, but often incur significant memory and computational costs. We introduce an approach to kernel approximation in machine learning algorithms suitable for…

We revisit the algorithmic problem of finding a triangle in a graph (\textsc{Triangle Detection}), and examine its relation to other problems such as \textsc{3Sum}, \textsc{Independent Set}, and \textsc{Graph Coloring}. We obtain several…

Data Structures and Algorithms · Computer Science 2024-02-13 Adrian Dumitrescu

Large language models (LLMs) have recently transformed natural language processing, enabling machines to generate human-like text and engage in meaningful conversations. This development necessitates speed, efficiency, and accessibility in…

Hardware Architecture · Computer Science 2024-06-13 Christopher Wolters , Xiaoxuan Yang , Ulf Schlichtmann , Toyotaro Suzumura

Conventional computing paradigm struggles to fulfill the rapidly growing demands from emerging applications, especially those for machine intelligence, because much of the power and energy is consumed by constant data transfers between…

Betweenness Centrality (BC) is steadily growing in popularity as a metrics of the influence of a vertex in a graph. The BC score of a vertex is proportional to the number of all-pairs-shortest-paths passing through it. However, complete and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-22 Flavio Vella , Giancarlo Carbone , Massimo Bernaschi

In recent years, the CNNs have achieved great successes in the image processing tasks, e.g., image recognition and object detection. Unfortunately, traditional CNN's classification is found to be easily misled by increasingly complex image…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-12 Xingyao Zhang , Shuaiwen Leon Song , Chenhao Xie , Jing Wang , Weigong Zhang , Xin Fu

The rise of data-intensive applications exposed the limitations of conventional processor-centric von-Neumann architectures that struggle to meet the off-chip memory bandwidth demand. Therefore, recent innovations in computer architecture…

Hardware Architecture · Computer Science 2024-05-28 Asif Ali Khan , Hamid Farzaneh , Karl F. A. Friebel , Clément Fournier , Lorenzo Chelini , Jeronimo Castrillon