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The graph partitioning problem is a well-known NP-hard problem. In this paper, we formulate a 0-1 quadratic integer programming model for the graph partitioning problem with vertex weight constraints and fixed vertex constraints, and…

Optimization and Control · Mathematics 2025-03-17 Wumwi Sun , Hongwei Liu , Xiaoyu Wang

Graph-cuts are widely used in computer vision. In order to speed up the optimization process and improve the scalability for large graphs, Strandmark and Kahl introduced a splitting method to split a graph into multiple subgraphs for…

Data Structures and Algorithms · Computer Science 2016-11-03 Miao Yu , Shuhan Shen , Zhanyi Hu

Recently, graph mining approaches have become very popular, especially in domains such as bioinformatics, chemoinformatics and social networks. In this scope, one of the most challenging tasks is frequent subgraph discovery. This task has…

Databases · Computer Science 2016-08-24 Sabeur Aridhi , Laurent d'Orazio , Mondher Maddouri , Engelbert Mephu Nguifo

Recent studies show that graph processing systems on a single machine can achieve competitive performance compared with cluster-based graph processing systems. In this paper, we present NXgraph, an efficient graph processing system on a…

Databases · Computer Science 2020-08-10 Yuze Chi , Guohao Dai , Yu Wang , Guangyu Sun , Guoliang Li , Huazhong Yang

Partitioning a graph into balanced blocks such that few edges run between blocks is a key problem for large-scale distributed processing. A current trend for partitioning huge graphs are streaming algorithms, which use low computational…

Data Structures and Algorithms · Computer Science 2022-02-02 Marcelo Fonseca Faraj , Christian Schulz

We study the problem of semi-supervised learning with Graph Neural Networks (GNNs) in an active learning setup. We propose GraphPart, a novel partition-based active learning approach for GNNs. GraphPart first splits the graph into disjoint…

Machine Learning · Computer Science 2023-03-20 Jiaqi Ma , Ziqiao Ma , Joyce Chai , Qiaozhu Mei

Large-scale knowledge graphs are increasingly common in many domains. Their large sizes often exceed the limits of systems storing the graphs in a centralized data store, especially if placed in main memory. To overcome this, large…

Databases · Computer Science 2022-03-29 Amitabh Priyadarshi , Krzysztof J. Kochut

Computing fixed-radius near-neighbor graphs is an important first step for many data analysis algorithms. Near-neighbor graphs connect points that are close under some metric, endowing point clouds with a combinatorial structure. As…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-17 Gabriel Raulet , Dmitriy Morozov , Aydin Buluc , Katherine Yelick

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee

We introduce TeraHAC, a $(1+\epsilon)$-approximate hierarchical agglomerative clustering (HAC) algorithm which scales to trillion-edge graphs. Our algorithm is based on a new approach to computing $(1+\epsilon)$-approximate HAC, which is a…

Data Structures and Algorithms · Computer Science 2024-06-12 Laxman Dhulipala , Jason Lee , Jakub Łącki , Vahab Mirrokni

We continue the line of research on graph compression started with WebGraph, but we move our focus to the compression of social networks in a proper sense (e.g., LiveJournal): the approaches that have been used for a long time to compress…

Data Structures and Algorithms · Computer Science 2011-10-17 Paolo Boldi , Marco Rosa , Massimo Santini , Sebastiano Vigna

Problems in scientific computing, such as distributing large sparse matrix operations, have analogous formulations as hypergraph partitioning problems. A hypergraph is a generalization of a traditional graph wherein "hyperedges" may connect…

Data Structures and Algorithms · Computer Science 2022-06-16 Justin Sybrandt , Ruslan Shaydulin , Ilya Safro

Graph Neural Networks (GNNs) are powerful deep learning models to generate node embeddings on graphs. When applying deep GNNs on large graphs, it is still challenging to perform training in an efficient and scalable way. We propose a novel…

Machine Learning · Computer Science 2020-10-08 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

Partitioning a graph into balanced components is important for several applications. For multi-objective problems, it is useful not only to find one solution but also to enumerate all the solutions with good values of objectives. However,…

Data Structures and Algorithms · Computer Science 2018-04-09 Yu Nakahata , Jun Kawahara , Shoji Kasahara

We propose neighborhood-based core decomposition: a novel way of decomposing hypergraphs into hierarchical neighborhood-cohesive subhypergraphs. Alternative approaches to decomposing hypergraphs, e.g., reduction to clique or bipartite…

Social and Information Networks · Computer Science 2023-04-11 Naheed Anjum Arafat , Arijit Khan , Arpit Kumar Rai , Bishwamittra Ghosh

Given a large data graph, trimming techniques can reduce the search space by removing vertices without outgoing edges. One application is to speed up the parallel decomposition of graphs into strongly connected components (SCC…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-11 Bin Guo , Emil Sekerinski

A fundamental question that shrouds the emergence of massively parallel computing (MPC) platforms is how can the additional power of the MPC paradigm be leveraged to achieve faster algorithms compared to classical parallel models such as…

Data Structures and Algorithms · Computer Science 2018-05-09 Sepehr Assadi , Xiaorui Sun , Omri Weinstein

State-of-the-art hypergraph partitioners follow the multilevel paradigm that constructs multiple levels of progressively coarser hypergraphs that are used to drive cut refinement on each level of the hierarchy. Multilevel partitioners are…

Machine Learning · Computer Science 2023-06-06 Ismail Bustany , Andrew B. Kahng , Ioannis Koutis , Bodhisatta Pramanik , Zhiang Wang

A common approach to scaling transactional databases in practice is horizontal partitioning, which increases system scalability, high availability and self-manageability. Usu- ally it is very challenging to choose or design an optimal…

Databases · Computer Science 2013-09-09 Yu cao , Xiaoyan Guo , Stephen Todd

Core decomposition is a fundamental graph problem with a large number of applications. Most existing approaches for core decomposition assume that the graph is kept in memory of a machine. Nevertheless, many real-world graphs are big and…

Databases · Computer Science 2015-11-03 Dong Wen , Lu Qin , Ying Zhang , Xuemin Lin , Jeffrey Xu Yu
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