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Electronic data is growing at increasing rates, in both size and connectivity: the increasing presence of, and interest in, relationships between data. An example is the Twitter social network graph. Due to this growth demand is increasing…

Databases · Computer Science 2013-01-23 Alex Averbuch , Martin Neumann

We develop a multilevel algorithm for hypergraph partitioning that contracts the vertices one at a time. Using several caching and lazy-evaluation techniques during coarsening and refinement, we reduce the running time by up to two-orders…

Data Structures and Algorithms · Computer Science 2015-11-11 Sebastian Schlag , Vitali Henne , Tobias Heuer , Henning Meyerhenke , Peter Sanders , Christian Schulz

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

Data Structures and Algorithms · Computer Science 2021-01-12 Krzysztof Nowicki , Krzysztof Onak

Graph partitioning aims to divide a graph into disjoint subsets while optimizing a specific partitioning objective. The majority of formulations related to graph partitioning exhibit NP-hardness due to their combinatorial nature.…

Machine Learning · Computer Science 2024-06-24 Rishi Shah , Krishnanshu Jain , Sahil Manchanda , Sourav Medya , Sayan Ranu

Social Graph Analytics applications are very often built using off-the-shelf analytics frameworks. These, however, are profiled and optimized for the general case and have to perform for all kinds of graphs. This paper investigates how…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-23 Iacovos Kolokasis , Polyvios Pratikakis

Graph Partitioning is widely used in many real-world applications such as fraud detection and social network analysis, in order to enable the distributed graph computing on large graphs. However, existing works fail to balance the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-07 Li Zeng , Haohan Huang , Binfan Zheng , Kang Yang , Shengcheng Shao , Jinhua Zhou , Jun Xie , Rongqian Zhao , Xin Chen

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…

We show a deterministic constant-time local algorithm for constructing an approximately maximum flow and minimum fractional cut in multisource-multitarget networks with bounded degrees and bounded edge capacities. Locality means that the…

Data Structures and Algorithms · Computer Science 2023-11-03 Endre Csóka , András Pongrácz

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

In this work, we present a fast distributed algorithm for local potential problems: these are graph problems where the task is to find a locally optimal solution where no node can unilaterally improve the utility in its local neighborhood…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 Alkida Balliu , Thomas Boudier , Francesco d'Amore , Fabian Kuhn , Dennis Olivetti , Gustav Schmid , Jukka Suomela

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

An autonomous variational inference algorithm for arbitrary graphical models requires the ability to optimize variational approximations over the space of model parameters as well as over the choice of tractable families used for the…

Machine Learning · Computer Science 2012-07-19 Eric P. Xing , Michael I. Jordan , Stuart Russell

The multilevel heuristic is the dominant strategy for high-quality sequential and parallel graph partitioning. Partition refinement is a key step of multilevel graph partitioning. In this work, we present Jet, a new parallel algorithm for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-09 Michael S. Gilbert , Kamesh Madduri , Erik G. Boman , Sivasankaran Rajamanickam

Semantic instance segmentation is the task of simultaneously partitioning an image into distinct segments while associating each pixel with a class label. In commonly used pipelines, segmentation and label assignment are solved separately…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Steffen Wolf , Yuyan Li , Constantin Pape , Alberto Bailoni , Anna Kreshuk , Fred A. Hamprecht

We present a shared-memory parallelization of flow-based refinement, which is considered the most powerful iterative improvement technique for hypergraph partitioning at the moment. Flow-based refinement works on bipartitions, so current…

Data Structures and Algorithms · Computer Science 2022-01-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders

In this paper, we develop semi-external and external memory algorithms for graph partitioning and clustering problems. Graph partitioning and clustering are key tools for processing and analyzing large complex networks. We address both…

Data Structures and Algorithms · Computer Science 2014-09-24 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

A common way of partitioning graphs is through minimum cuts. One drawback of classical minimum cut methods is that they tend to produce small groups, which is why more balanced variants such as normalized and ratio cuts have seen more…

Machine Learning · Computer Science 2024-10-07 Chakib Fettal , Lazhar Labiod , Mohamed Nadif

An exact algorithm is presented for solving edge weighted graph partitioning problems. The algorithm is based on a branch and bound method applied to a continuous quadratic programming formulation of the problem. Lower bounds are obtained…

Optimization and Control · Mathematics 2009-12-10 William Hager , Dzung Phan , Hongchao Zhang

Graph partitioning plays a vital role in distributedlarge-scale web graph analytics, such as pagerank and labelpropagation. The quality and scalability of partitioning strategyhave a strong impact on such communication- and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Deyu Kong , Xike Xie , Zhuoxu Zhang

Clustering points in a vector space or nodes in a graph is a ubiquitous primitive in statistical data analysis, and it is commonly used for exploratory data analysis. In practice, it is often of interest to "refine" or "improve" a given…

Machine Learning · Computer Science 2022-02-03 K. Fountoulakis , M. Liu , D. F. Gleich , M. W. Mahoney