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Related papers: Tera-Scale Multilevel Graph Partitioning

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We develop an efficient parallel algorithm for answering shortest-path queries in planar graphs and implement it on a multi-node CPU/GPU clusters. The algorithm uses a divide-and-conquer approach for decomposing the input graph into small…

Data Structures and Algorithms · Computer Science 2015-03-26 Guillaume Chapuis , Hristo Djidjev

Bipartite graphs model the relationships between two disjoint sets of entities in several applications and are naturally drawn as 2-layer graph drawings. In such drawings, the two sets of entities (vertices) are placed on two parallel lines…

In recent years, significant advances have been made in the design and evaluation of balanced (hyper)graph partitioning algorithms. We survey trends of the last decade in practical algorithms for balanced (hyper)graph partitioning together…

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

With the advent of the big data, graph are processed in an iterative manner, which incrementally described in the form of graph in big data applications. Most currently, graph processing methods treat the underlying map data as black boxes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-05 Beibei Si

We study graph partitioning problems from a min-max perspective, in which an input graph on n vertices should be partitioned into k parts, and the objective is to minimize the maximum number of edges leaving a single part. The two main…

Data Structures and Algorithms · Computer Science 2011-10-21 Nikhil Bansal , Uriel Feige , Robert Krauthgamer , Konstantin Makarychev , Viswanath Nagarajan , Joseph , Naor , Roy Schwartz

Hyperbolicity is a graph parameter which indicates how much the shortest-path distance metric of a graph deviates from a tree metric. It is used in various fields such as networking, security, and bioinformatics for the classification of…

Data Structures and Algorithms · Computer Science 2021-04-27 David Coudert , André Nusser , Laurent Viennot

Cell nuclei segmentation is one of the most important tasks in the analysis of biomedical images. With ever-growing sizes and amounts of three-dimensional images to be processed, there is a need for better and faster segmentation methods.…

Computer Vision and Pattern Recognition · Computer Science 2017-02-20 Julian Arz , Peter Sanders , Johannes Stegmaier , Ralf Mikut

Graph-based computations are crucial in a wide range of applications, where graphs can scale to trillions of edges. To enable efficient training on such large graphs, mini-batch subgraph sampling is commonly used, which allows training…

Machine Learning · Computer Science 2025-04-04 Yue Jin , Yongchao Liu , Chuntao Hong

Hypergraph partitioning is an NP-hard problem that occurs in many computer science applications where it is necessary to reduce large problems into a number of smaller, computationally tractable sub-problems. Current techniques use a…

Neural and Evolutionary Computing · Computer Science 2022-12-06 Richard J. Preen , Jim Smith

Many real-world systems, such as social networks, rely on mining efficiently large graphs, with hundreds of millions of vertices and edges. This volume of information requires partitioning the graph across multiple nodes in a distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-11 Luis Vaquero , Felix Cuadrado , Dionysios Logothetis , Claudio Martella

The future of main memory appears to lie in the direction of new technologies that provide strong capacity-to-performance ratios, but have write operations that are much more expensive than reads in terms of latency, bandwidth, and energy.…

Data Structures and Algorithms · Computer Science 2017-10-10 Naama Ben-David , Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Charles McGuffey , Julian Shun

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

Data Structures and Algorithms · Computer Science 2021-08-11 Alexander Noe

The prevalence of large-scale graphs poses great challenges in time and storage for training and deploying graph neural networks (GNNs). Several recent works have explored solutions for pruning the large original graph into a small and…

Machine Learning · Computer Science 2023-05-19 Jintang Li , Sheng Tian , Ruofan Wu , Liang Zhu , Welong Zhao , Changhua Meng , Liang Chen , Zibin Zheng , Hongzhi Yin

Over the last two decades, frameworks for distributed-memory parallel computation, such as MapReduce, Hadoop, Spark and Dryad, have gained significant popularity with the growing prevalence of large network datasets. The Massively Parallel…

Data Structures and Algorithms · Computer Science 2022-07-19 Amartya Shankha Biswas , Talya Eden , Quanquan C. Liu , Slobodan Mitrović , Ronitt Rubinfeld

In order to improve system performance efficiently, a number of systems choose to equip multi-core and many-core processors (such as GPUs). Due to their discrete memory these heterogeneous architectures comprise a distributed system within…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-27 Hao Wu , Daniel Lohmann , Wolfgang Schröder-Preikschat

The problem of finding dense components of a graph is a widely explored area in data analysis, with diverse applications in fields and branches of study including community mining, spam detection, computer security and bioinformatics. This…

Information Retrieval · Computer Science 2021-03-02 B. D. M. De Zoysa , Y. A. M. M. A. Ali , M. D. I. Maduranga , Indika Perera , Saliya Ekanayake , Anil Vullikanti

When processing a batch of graphs in machine learning models such as Graph Neural Networks (GNN), it is common to combine several small graphs into one overall graph to accelerate processing and remove or reduce the overhead of padding.…

Machine Learning · Computer Science 2022-09-20 Mario Michael Krell , Manuel Lopez , Sreenidhi Anand , Hatem Helal , Andrew William Fitzgibbon

We design and implement an efficient parallel algorithm for finding a perfect matching in a weighted bipartite graph such that weights on the edges of the matching are large. This problem differs from the maximum weight matching problem,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-07 Ariful Azad , Aydın Buluc , Xiaoye S. Li , Xinliang Wang , Johannes Langguth

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson