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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

Distributed graph platforms like Pregel have used vertex- centric programming models to process the growing corpus of graph datasets using commodity clusters. The irregular structure of graphs cause load imbalances across machines operating…

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

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

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

Large-scale parallel numerical simulations are essential for a wide range of engineering problems that involve complex, coupled physical processes interacting across a broad range of spatial and temporal scales. The data structures involved…

Mathematical Software · Computer Science 2018-10-11 Fande Kong , Roy H. Stogner , Derek R. Gaston , John W. Peterson , Cody J. Permann , Andrew E. Slaughter , Richard C. Martineau

We study a graph partitioning problem motivated by the simulation of the physical movement of multi-body systems on an atomistic level, where the forces are calculated from a quantum mechanical description of the electrons. Several advanced…

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

Graph partitioning is an important preprocessing step to distributed graph processing. In edge partitioning, the edge set of a given graph is split into $k$ equally-sized partitions, such that the replication of vertices across partitions…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Ruben Mayer , Kamil Orujzade , Hans-Arno Jacobsen

The minimum conductance problem is an NP-hard graph partitioning problem. Apart from the search for bottlenecks in complex networks, the problem is very closely related to the popular area of network community detection. In this paper, we…

Social and Information Networks · Computer Science 2017-04-11 David Chalupa

In complex networks, especially social networks, networks could be divided into disjoint partitions that the ratio between the number of internal edges (the edges between the vertices within same partition) to the number of outer edges…

Social and Information Networks · Computer Science 2019-02-07 Hamid Shahrivari Joghan , Alireza Bagheri , Meysam Azad

In this paper we consider the problem of transmission across a graph and how to effectively control/restrict it with limited resources. Transmission can represent information transfer across a social network, spread of a malicious virus…

Social and Information Networks · Computer Science 2020-10-13 Leiming Zhang , Brian M. Sadler , Rick S. Blum , Subhrajit Bhattacharya

The current landscape of balanced graph partitioning is divided into high-quality but expensive multilevel algorithms and cheaper approaches with linear running time, such as single-level algorithms and streaming algorithms. We demonstrate…

Data Structures and Algorithms · Computer Science 2025-04-25 Lars Gottesbüren , Nikolai Maas , Dominik Rosch , Peter Sanders , Daniel Seemaier

This note recapitulates an algorithmic observation for ordered Depth-First Search (DFS) in directed graphs that immediately leads to a parallel algorithm with linear speed-up for a range of processors for non-sparse graphs. The note extends…

Data Structures and Algorithms · Computer Science 2013-11-13 Jesper Larsson Träff

Hypergraphs allow modeling problems with multi-way high-order relationships. However, the computational cost of most existing hypergraph-based algorithms can be heavily dependent upon the input hypergraph sizes. To address the…

Machine Learning · Computer Science 2021-12-22 Ali Aghdaei , Zhiqiang Zhao , Zhuo Feng

This paper considers the problem of resource allocation in stream processing, where continuous data flows must be processed in real time in a large distributed system. To maximize system throughput, the resource allocation strategy that…

Machine Learning · Computer Science 2019-11-21 Xiang Ni , Jing Li , Mo Yu , Wang Zhou , Kun-Lung Wu

In this paper, we propose a depth-first search (DFS) algorithm for searching maximum matchings in general graphs. Unlike blossom shrinking algorithms, which store all possible alternative alternating paths in the super-vertices shrunk from…

Data Structures and Algorithms · Computer Science 2022-04-20 Tony T. Lee , Bojun Lu , Hanli Chu

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

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

Graph partition is a fundamental problem of parallel computing for big graph data. Many graph partition algorithms have been proposed to solve the problem in various applications, such as matrix computations and PageRank, etc., but none has…

Social and Information Networks · Computer Science 2015-01-05 Xiaoming Liu , Yadong Zhou , Xiaohong Guan

With growing deployment of Internet of Things (IoT) and machine learning (ML) applications, which need to leverage computation on edge and cloud resources, it is important to develop algorithms and tools to place these distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-30 Xiangchen Zhao , Diyi Hu , Bhaskar Krishnamachari