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Motion planning is an important and well-studied field of robotics. A typical approach to finding a route is to construct a {\em cell graph} representing a scene and then to find a path in such a graph. In this paper we present and analyze…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-23 Krzysztof Kaczmarski , Paweł Rzążewski , Albert Wolant

In a finite undirected simple graph, a chordless cycle is an induced subgraph which is a cycle. We propose a GPU parallel algorithm for enumerating all chordless cycles of such a graph. The algorithm, implemented in OpenCL, is based on a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-26 Elisângela Silva Dias , Diane Castonguay , Humberto Longo , Walid Abdala Rfaei Jradi , Hugo A. D. do Nascimento

The partial representation extension problem is a recently introduced generalization of the recognition problem. A circle graph is an intersection graph of chords of a circle. We study the partial representation extension problem for circle…

Discrete Mathematics · Computer Science 2017-10-03 Steven Chaplick , Radoslav Fulek , Pavel Klavík

For large-scale graph analytics on the GPU, the irregularity of data access and control flow, and the complexity of programming GPUs, have presented two significant challenges to developing a programmable high-performance graph library.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-06 Yangzihao Wang , Yuechao Pan , Andrew Davidson , Yuduo Wu , Carl Yang , Leyuan Wang , Muhammad Osama , Chenshan Yuan , Weitang Liu , Andy T. Riffel , John D. Owens

I present a new way to parallelize the training of convolutional neural networks across multiple GPUs. The method scales significantly better than all alternatives when applied to modern convolutional neural networks.

Neural and Evolutionary Computing · Computer Science 2014-04-29 Alex Krizhevsky

This work presents a GPU thread mapping approach that allows doing fast parallel stencil-like computations on discrete fractals using their compact representation. The intuition behind is to employ two GPU tensor-core accelerated thread…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Felipe A. Quezada , Cristóbal A. Navarro

Graph partitioning problems are a central topic of study in algorithms and complexity theory. Edge expansion and vertex expansion, two popular graph partitioning objectives, seek a $2$-partition of the vertex set of the graph that minimizes…

Data Structures and Algorithms · Computer Science 2019-10-22 Anand Louis , Rakesh Venkat

Algorithmic extension problems of partial graph representations such as planar graph drawings or geometric intersection representations are of growing interest in topological graph theory and graph drawing. In such an extension problem, we…

Data Structures and Algorithms · Computer Science 2020-04-28 Eduard Eiben , Robert Ganian , Thekla Hamm , Fabian Klute , Martin Nöllenburg

Computing a quasi-developable strip surface bounded by design curves finds wide industrial applications. Existing methods compute discrete surfaces composed of developable lines connecting sampling points on input curves which are not…

Graphics · Computer Science 2022-12-19 Pengbo Bo , Yujian Zheng , Caiming Zhang

Hypergraphs offer flexible and robust data representations for many applications, but methods that work directly on hypergraphs are not readily available and tend to be prohibitively expensive. Much of the current analysis of hypergraphs…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-28 Xu T. Liu , Jesun Firoz , Sinan Aksoy , Ilya Amburg , Andrew Lumsdaine , Cliff Joslyn , Assefaw H. Gebremedhin , Brenda Praggastis

The answers to data assimilation questions can be expressed as path integrals over all possible state and parameter histories. We show how these path integrals can be evaluated numerically using a Markov Chain Monte Carlo method designed to…

Computational Physics · Physics 2015-05-27 John C. Quinn , Henry D. I. Abarbanel

B-spline modeling is fundamental to CAD systems, and its evaluation and manipulation algorithms currently in use were developed decades ago, specifically for CPU architectures. While remaining effective for many applications, these…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-17 Jiayu Wu , Qiang Zou

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

Directed graphs are widely used to model data flow and execution dependencies in streaming applications. This enables the utilization of graph partitioning algorithms for the problem of parallelizing computation for multiprocessor…

Data Structures and Algorithms · Computer Science 2017-09-26 Orlando Moreira , Merten Popp , Christian Schulz

Graph coloring has been broadly used to discover concurrency in parallel computing. To speedup graph coloring for large-scale datasets, parallel algorithms have been proposed to leverage modern GPUs. Existing GPU implementations either have…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Xuhao Chen , Pingfan Li , Jianbin Fang , Tao Tang , Zhiying Wang , Canqun Yang

Prime path coverage is a powerful structural testing criterion, but generating all prime paths in a directed graph remains computationally challenging due to the potentially exponential number of them. Existing approaches typically rely on…

Software Engineering · Computer Science 2026-04-27 Jakub Zelek , Jakub Ruszil , Adam Roman , Artur Polański

In this work, we present an extension of Gaussian process (GP) models with sophisticated parallelization and GPU acceleration. The parallelization scheme arises naturally from the modular computational structure w.r.t. datapoints in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-21 Zhenwen Dai , Andreas Damianou , James Hensman , Neil Lawrence

High parallel framework has been proved to be very suitable for graph processing. There are various work to optimize the implementation in FPGAs, a pipeline parallel device. The key to make use of the parallel performance of FPGAs is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-02 Chengbo Yang

Graph neural networks (GNNs), an emerging class of machine learning models for graphs, have gained popularity for their superior performance in various graph analytical tasks. Mini-batch training is commonly used to train GNNs on large…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-15 Sandeep Polisetty , Juelin Liu , Kobi Falus , Yi Ren Fung , Seung-Hwan Lim , Hui Guan , Marco Serafini

We present a voxel-based rendering pipeline for large 3D line sets that employs GPU ray-casting to achieve scalable rendering including transparency and global illumination effects that cannot be achieved with GPU rasterization. Even for…

Graphics · Computer Science 2018-01-08 Mathias Kanzler , Marc Rautenhaus , Rüdiger Westermann