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Multi-FPGA systems (MFS) are widely adopted for VLSI emulation and rapid prototyping. In an MFS, FPGAs connect only to a limited number of neighbors through bandwidth-constrained links, so inter-FPGA communication cost depends on network…

Hardware Architecture · Computer Science 2026-04-02 Zizhuo Fu , Yifan Zhou , Zhaoxin Lu , Guangyu Sun , Runsheng Wang , Meng Li , Yibo Lin

Hypergraph partitioning has a wide range of important applications such as VLSI design or scientific computing. With focus on solution quality, we develop the first multilevel memetic algorithm to tackle the problem. Key components of our…

Data Structures and Algorithms · Computer Science 2018-02-06 Robin Andre , Sebastian Schlag , Christian Schulz

The Hypergraph Partitioning (HGP) problem is a well-studied problem that finds applications in a variety of domains. The literature on the HGP problem has heavily focused on developing fast heuristic approaches. In several application…

Neural and Evolutionary Computing · Computer Science 2022-04-11 Utku Umur Acikalin , Bugra Caskurlu

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

In this paper we present a greedy algorithm for solving the problem of the maximum partitioning of graphs with supply and demand (MPGSD). The goal of the method is to solve the MPGSD for large graphs in a reasonable time limit. This is done…

Artificial Intelligence · Computer Science 2015-07-31 Raka Jovanovic , Abdelkader Bousselham , Stefan Voss

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

Data Structures and Algorithms · Computer Science 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

Balanced graph partitioning is a critical step for many large-scale distributed computations with relational data. As graph datasets have grown in size and density, a range of highly-scalable balanced partitioning algorithms have appeared…

Social and Information Networks · Computer Science 2020-07-08 Amel Awadelkarim , Johan Ugander

Hypergraph partitioning is an important preprocessing step for optimizing data placement and minimizing communication volumes in high-performance computing applications. To cope with ever growing problem sizes, it has become increasingly…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-15 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Sebastian Schlag

We present TeraPart, a memory-efficient multilevel graph partitioning method that is designed to scale to extremely large graphs. In balanced graph partitioning, the goal is to divide the vertices into $k$ blocks with balanced size while…

Data Structures and Algorithms · Computer Science 2024-10-28 Daniel Salwasser , Daniel Seemaier , Lars Gottesbüren , Peter Sanders

Distributed systems that manage and process graph-structured data internally solve a graph partitioning problem to minimize their communication overhead and query run-time. Besides computational complexity -- optimal graph partitioning is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-24 Ruben Mayer , Hans-Arno Jacobsen

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation when processing graphs on a parallel computer. When a topology of a distributed system is known an important task…

Data Structures and Algorithms · Computer Science 2020-01-23 Marcelo Fonseca Faraj , Alexander van der Grinten , Henning Meyerhenke , Jesper Larsson Träff , Christian Schulz

Multilevel partitioning methods that are inspired by principles of multiscaling are the most powerful practical hypergraph partitioning solvers. Hypergraph partitioning has many applications in disciplines ranging from scientific computing…

Discrete Mathematics · Computer Science 2022-06-16 Ruslan Shaydulin , Jie Chen , Ilya Safro

In this paper, we propose HyperFlowCutter, an algorithm for balanced hypergraph bipartitioning. It is based on minimum S-T hyperedge cuts and maximum flows. It computes a sequence of bipartitions that optimize cut size and balance in the…

Data Structures and Algorithms · Computer Science 2019-07-04 Lars Gottesbüren , Michael Hamann , Dorothea Wagner

Computing high-quality graph partitions is a challenging problem with numerous applications. In this paper, we present a novel meta-heuristic for the balanced graph partitioning problem. Our approach is based on integer linear programs that…

Data Structures and Algorithms · Computer Science 2018-02-21 Alexandra Henzinger , Alexander Noe , Christian Schulz

A primary challenge in metagenomics is reconstructing individual microbial genomes from the mixture of short fragments created by sequencing. Recent work leverages the sparsity of the assembly graph to find $r$-dominating sets which enable…

Data Structures and Algorithms · Computer Science 2023-01-24 Yosuke Mizutani , Annie Staker , Blair D. Sullivan

Graph partitioning schedules parallel calculations like sparse matrix-vector multiply (SpMV). We consider contiguous partitions, where the $m$ rows (or columns) of a sparse matrix with $N$ nonzeros are split into $K$ parts without…

Data Structures and Algorithms · Computer Science 2024-10-30 Willow Ahrens

Graph partitioning (GP) and vertex connectivity have traditionally been two distinct fields of study. This paper introduces the highly connected graph partitioning (HCGP) problem, which partitions a graph into compact, size balanced, and…

Discrete Mathematics · Computer Science 2024-06-13 Rahul Swamy , Douglas M. King , Sheldon H. Jacobson

Hypergraphs have gained increasing attention in the machine learning community lately due to their superiority over graphs in capturing super-dyadic interactions among entities. In this work, we propose a novel approach for the partitioning…

Machine Learning · Computer Science 2020-11-17 Deepak Maurya , Balaraman Ravindran

Partitioning a graph into blocks of roughly equal weight while cutting only few edges is a fundamental problem in computer science with numerous practical applications. While shared-memory parallel partitioners have recently matured to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-06 Peter Sanders , Daniel Seemaier

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…