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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

We design a space-efficient algorithm for performing depth-first search traversal(DFS) of a graph in $O(m+n\log^* n)$ time using $O(n)$ bits of space. While a normal DFS algorithm results in a DFS-tree (in case the graph is connected), our…

Data Structures and Algorithms · Computer Science 2018-10-18 Jayesh Choudhari , Manoj Gupta , Shivdutt Sharma

The paper is devoted to an analytical study of the "master-worker" framework scalability on multiprocessors with distributed memory. A new model of parallel computations called BSF is proposed. The BSF model is based on BSP and SPMD models.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-09 L. B. Sokolinsky

Graph algorithms enormously contribute to the domains such as blockchains, social networks, biological networks, telecommunication networks, and several others. The ever-increasing demand of data-volume, as well as speed of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Bapi Chatterjee , Sathya Peri , Muktikanta Sa

Graphs are central to modeling relationships in scientific computing, data analysis, and AI/ML, but their growing scale can exceed the memory and compute capacity of single nodes, requiring distributed solutions. Existing distributed graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Karame Mohammadiporshokooh , Panagiotis Syskakis , Hartmut Kaiser

In recent years, there has been renewed interest in closing the performance gap between state-of-the-art planning solvers and generalized planning (GP), a research area of AI that studies the automated synthesis of algorithmic-like…

Artificial Intelligence · Computer Science 2024-08-05 Alejandro Fernández-Alburquerque , Javier Segovia-Aguas

Developing high-performance and energy-efficient algorithms for maximum matchings is becoming increasingly important in social network analysis, computational sciences, scheduling, and others. In this work, we propose the first maximum…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-29 Maciej Besta , Marc Fischer , Tal Ben-Nun , Dimitri Stanojevic , Johannes De Fine Licht , Torsten Hoefler

In this paper, we propose a novel method to compute triangle counting on GPUs. Unlike previous formulations of graph matching, our approach is BFS-based by traversing the graph in an all-source-BFS manner and thus can be mapped onto GPUs in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-06 Leyuan Wang , John D. Owens

The problem of space-efficient depth-first search (DFS) is reconsidered. A particularly simple and fast algorithm is presented that, on a directed or undirected input graph $G=(V,E)$ with $n$ vertices and $m$ edges, carries out a DFS in…

Data Structures and Algorithms · Computer Science 2018-05-31 Torben Hagerup

We provide the first non-trivial result on dynamic breadth-first search (BFS) in external-memory: For general sparse undirected graphs of initially $n$ nodes and O(n) edges and monotone update sequences of either $\Theta(n)$ edge insertions…

Data Structures and Algorithms · Computer Science 2008-02-21 Ulrich Meyer

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

Depth-first search (DFS) is the basis for many efficient graph algorithms. We introduce general techniques for the efficient implementation of DFS-based graph algorithms and exemplify them on three algorithms for computing strongly…

Data Structures and Algorithms · Computer Science 2017-03-30 Kurt Mehlhorn , Stefan Näher , Peter Sanders

Memory-bound algorithms show complex performance and energy consumption behavior on multicore processors. We choose the lattice-Boltzmann method (LBM) on an Intel Sandy Bridge cluster as a prototype scenario to investigate if and how…

Performance · Computer Science 2015-05-25 Markus Wittmann , Georg Hager , Thomas Zeiser , Jan Treibig , Gerhard Wellein

The subgraph enumeration problem asks us to find all subgraphs of a target graph that are isomorphic to a given pattern graph. Determining whether even one such isomorphic subgraph exists is NP-complete---and therefore finding all such…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-29 Raphael Kimmig , Henning Meyerhenke , Darren Strash

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

Due to their highly parallel multi-cores architecture, GPUs are being increasingly used in a wide range of computationally intensive applications. Compared to CPUs, GPUs can achieve higher performances at accelerating the programs'…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 Frédéric Magoulès , Abal-Kassim Cheik Ahamed , Alban Desmaison , Jean-Christophe Léchenet , François Mayer , Haifa Ben Salem , Thomas Zhu

High-performance analysis of unstructured data like graphs now is critical for applications ranging from business intelligence to genome analysis. Towards this, data centers hold large graphs in memory to serve multiple concurrent queries…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-27 Emory Smith , Shannon Kuntz , Jason Riedy , Martin Deneroff

The frequent elements problem, a key component in demanding stream-data analytics, involves selecting elements whose occurrence exceeds a user-specified threshold. Fast, memory-efficient $\epsilon$-approximate synopsis algorithms select all…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-04 Victor Jarlow , Charalampos Stylianopoulos , Marina Papatriantafilou

The binary-forking model is a parallel computation model, formally defined by Blelloch et al. very recently, in which a thread can fork a concurrent child thread, recursively and asynchronously. The model incurs a cost of $\Theta(\log n)$…

Data Structures and Algorithms · Computer Science 2020-09-04 Zafar Ahmad , Rezaul Chowdhury , Rathish Das , Pramod Ganapathi , Aaron Gregory , Mohammad Mahdi Javanmard

Depth first search (DFS) tree is a fundamental data structure for solving graph problems. The classical algorithm [SiComp74] for building a DFS tree requires $O(m+n)$ time for a given graph $G$ having $n$ vertices and $m$ edges. Recently,…

Data Structures and Algorithms · Computer Science 2017-05-11 Shahbaz Khan