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Related papers: ILP-based Local Search for Graph Partitioning

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Two kinds of approximation algorithms exist for the k-BALANCED PARTITIONING problem: those that are fast but compute unsatisfying approximation ratios, and those that guarantee high quality ratios but are slow. In this paper we prove that…

Computational Complexity · Computer Science 2019-04-29 Andreas Emil Feldmann

Component-centric distributed graph processing platforms that use a bulk synchronous parallel (BSP) programming model have gained traction. These address the short-comings of Big Data abstractions/platforms like MapReduce/Hadoop for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-13 Ravikant Dindokar , Neel Choudhury , Yogesh Simmhan

We propose a new algorithm for finding the center of a graph, as well as the rank of each node in the hierarchy of distances to the center. In other words, our algorithm allows to partition the graph according to nodes distance to the…

Data Structures and Algorithms · Computer Science 2019-10-08 Frédéric Protin

The balanced hypergraph partitioning problem is to partition a hypergraph into $k$ disjoint blocks of bounded size such that the sum of the number of blocks connected by each hyperedge is minimized. We present an improvement to the…

Data Structures and Algorithms · Computer Science 2020-03-30 Lars Gottesbüren , Michael Hamann , Sebastian Schlag , Dorothea Wagner

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

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

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

In the Minimum Common String Partition Problem (MCSP), we are given two strings on input, and we want to partition both into the same collection of substrings, minimizing the number of the substrings in the partition. This combinatorial…

Data Structures and Algorithms · Computer Science 2021-10-12 Miloš Chromý , Markus Sinnl

We consider the problem of approximating partition functions for Ising models. We make use of recent tools in combinatorial optimization: the Sherali-Adams and Lasserre convex programming hierarchies, in combination with variational methods…

Machine Learning · Computer Science 2016-07-13 Andrej Risteski

Indexing intervals is a fundamental problem, finding a wide range of applications. Recent work on managing large collections of intervals in main memory focused on overlap joins and temporal aggregation problems. In this paper, we propose…

Databases · Computer Science 2022-03-08 George Christodoulou , Panagiotis Bouros , Nikos Mamoulis

Graph partitioning, a well studied problem of parallel computing has many applications in diversified fields such as distributed computing, social network analysis, data mining and many other domains. In this paper, we introduce FGPGA, an…

Neural and Evolutionary Computing · Computer Science 2014-11-18 Md. Lisul Islam , Novia Nurain , Swakkhar Shatabda , M Sohel Rahman

In this work, we study the problem of partitioning a set of graphs into different groups such that the graphs in the same group are similar while the graphs in different groups are dissimilar. This problem was rarely studied previously,…

Machine Learning · Computer Science 2023-02-07 Jinyu Cai , Yi Han , Wenzhong Guo , Jicong Fan

Local graph partitioning is a key graph mining tool that allows researchers to identify small groups of interrelated nodes (e.g. people) and their connective edges (e.g. interactions). Because local graph partitioning is primarily focused…

Social and Information Networks · Computer Science 2018-03-15 Scott Freitas , Hanghang Tong , Nan Cao , Yinglong Xia

We present a novel method for graph partitioning, based on reinforcement learning and graph convolutional neural networks. Our approach is to recursively partition coarser representations of a given graph. The neural network is implemented…

Machine Learning · Computer Science 2021-06-30 Alice Gatti , Zhixiong Hu , Tess Smidt , Esmond G. Ng , Pieter Ghysels

Packing problems in discrete geometry can be modeled as finding independent sets in infinite graphs where one is interested in independent sets which are as large as possible. For finite graphs one popular way to compute upper bounds for…

Optimization and Control · Mathematics 2021-08-26 David de Laat , Frank Vallentin

The Massively Parallel Computation (MPC) model is an emerging model which distills core aspects of distributed and parallel computation. It has been developed as a tool to solve (typically graph) problems in systems where the input is…

Data Structures and Algorithms · Computer Science 2020-02-20 Artur Czumaj , Peter Davies , Merav Parter

This article describes a geometric partitioning software that can be used for quick computation of data partitions on many-core HPC machines. It is most suited for dynamic applications with load distributions that vary with time.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-19 Aparna Sasidharan

Time-evolving large graph has received attention due to their participation in real-world applications such as social networks and PageRank calculation. It is necessary to partition a large-scale dynamic graph in a streaming manner to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-01 Md Anwarul Kaium Patwary , Saurabh Garg , Sudheer Kumar Battula , Byeong Kang

We develop a multilevel algorithm for hypergraph partitioning that contracts the vertices one at a time and thus allows very high quality. This includes a rating function that avoids nonuniform vertex weights, an efficient "semi-dynamic"…

Data Structures and Algorithms · Computer Science 2015-05-05 Vitali Henne , Henning Meyerhenke , Peter Sanders , Sebastian Schlag , Christian Schulz

Processing massive application graphs on distributed memory systems requires to map the graphs onto the system's processing elements (PEs). This task becomes all the more important when PEs have non-uniform communication costs or the input…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-07 Maria Predari , Charilaos Tzovas , Christian Schulz , Henning Meyerhenke