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The growth in the use of computationally intensive statistical procedures, especially with Big Data, has necessitated the usage of parallel computation on diverse platforms such as multicore, GPU, clusters and clouds. However, slowdown due…

Computation · Statistics 2014-09-23 Norman Matloff

Graph pattern matching is a fundamental problem encountered by many common graph mining tasks and the basic building block of several graph mining systems. This paper explores for the first time how to proactively prune graphs to speed up…

Databases · Computer Science 2024-03-05 Juelin Liu , Sandeep Polisetty , Hui Guan , Marco Serafini

We present TeraPart, a memory-efficient multilevel graph partitioning method that is designed to scale to extremely large graphs. In balanced graph partitioning, the goal is to divide the vertices into $k$ blocks with balanced size while…

Data Structures and Algorithms · Computer Science 2024-10-28 Daniel Salwasser , Daniel Seemaier , Lars Gottesbüren , Peter Sanders

Two disjoint sets of entities and their relationship can be modelled as a bipartite graph. Real-life examples include drug-target interaction in biological networks, user-item relationships in e-commerce networks, etc. Motif-based analysis…

Data Structures and Algorithms · Computer Science 2026-05-06 Mekala Kiran , Apurba Das , Suman Banerjee , Tathagata Ray

Cycles are one of the fundamental subgraph patterns and being able to enumerate them in graphs enables important applications in a wide variety of fields, including finance, biology, chemistry, and network science. However, to enable cycle…

Data Structures and Algorithms · Computer Science 2023-07-18 Jovan Blanuša , Kubilay Atasu , Paolo Ienne

Network motif provides a way to uncover the basic building blocks of most complex networks. This task usually demands high computer processing, specially for motif with 5 or more vertices. This paper presents an extended methodology with…

Data Structures and Algorithms · Computer Science 2018-04-27 Luis A. A. Meira , Vinícius R. Máximo , Alvaro L. Fazenda , Arlindo F. da Conceição

We discuss the parallelization of algorithms for solving polynomial systems symbolically by way of triangular decomposition. Algorithms for solving polynomial systems combine low-level routines for performing arithmetic operations on…

Symbolic Computation · Computer Science 2019-06-04 Mohammadali Asadi , Alexander Brandt , Robert H. C. Moir , Marc Moreno Maza , Yuzhen Xie

In this paper we develop optimal algorithms in the binary-forking model for a variety of fundamental problems, including sorting, semisorting, list ranking, tree contraction, range minima, and ordered set union, intersection and difference.…

Data Structures and Algorithms · Computer Science 2020-06-26 Guy E. Blelloch , Jeremy T. Fineman , Yan Gu , Yihan Sun

The 2-D discrete wavelet transform (DWT) can be found in the heart of many image-processing algorithms. Until recently, several studies have compared the performance of such transform on various shared-memory parallel architectures,…

Performance · Computer Science 2017-05-30 David Barina , Michal Kula , Michal Matysek , Pavel Zemcik

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

The rapidly growing number of large network analysis problems has led to the emergence of many parallel and distributed graph processing systems---one survey in 2014 identified over 80. Since then, the landscape has evolved; some packages…

Performance · Computer Science 2017-05-18 Samuel Pollard , Boyana Norris

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

For a deep learning model, efficient execution of its computation graph is key to achieving high performance. Previous work has focused on improving the performance for individual nodes of the computation graph, while ignoring the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Linpeng Tang , Yida Wang , Theodore L. Willke , Kai Li

Sparse tensors are prevalent in real-world applications, often characterized by their large-scale, high-order, and high-dimensional nature. Directly handling raw tensors is impractical due to the significant memory and computational…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-24 Zixuan Li , Mingxing Duan , Huizhang Luo , Wangdong Yang , Kenli Li , Keqin Li

Connected components is a fundamental kernel in graph applications. The fastest existing parallel multicore algorithms for connectivity are based on some form of edge sampling and/or linking and compressing trees. However, many combinations…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-25 Laxman Dhulipala , Changwan Hong , Julian Shun

With the growing complexity and capability of contemporary robotic systems, the necessity of sophisticated computing solutions to efficiently handle tasks such as real-time processing, sensor integration, decision-making, and control…

Robotics · Computer Science 2025-09-09 Md Rafid Islam

Usage of multiprocessor and multicore computers implies parallel programming. Tools for preparing parallel programs include parallel languages and libraries as well as parallelizing compilers and convertors that can perform automatic…

Mathematical Software · Computer Science 2022-12-12 Pavel Telegin , Anton Baranov , Boris Shabanov , Artem Tikhomirov

We study the problem of edge partitioning, where the goal is to partition the edge set of a graph into several parts. The replication factor of a vertex $v$ is the number of parts that contain edges incident to $v$. The goal is to minimize…

Discrete Mathematics · Computer Science 2026-05-08 Alexander Yakunin , Andrey Kupavskii , Alexander Sushin , Stanislav Moiseev

Partitioning graphs into blocks of roughly equal size is widely used when processing large graphs. Currently there is a gap in the space of available partitioning algorithms. On the one hand, there are streaming algorithms that have been…

Data Structures and Algorithms · Computer Science 2021-12-23 Marcelo Fonseca Faraj , Christian Schulz

Multicore architectures dominate today's processor market. Even though the number of cores and threads are pretty high and continues to grow, inherently serial algorithms do not benefit from the abundance of cores and threads. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-21 Mohammad Bakhshalipour , Hamid Sarbazi-Azad
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