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Data-intensive, graph-based computations are pervasive in several scientific applications, and are known to to be quite challenging to implement on distributed memory systems. In this work, we explore the design space of parallel algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-17 Aydin Buluc , Kamesh Madduri

We present a work-efficient parallel level-synchronous Breadth First Search (BFS) algorithm for shared-memory architectures which achieves the theoretical lower bound on parallel running time. The optimality holds regardless of the shape of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Jesmin Jahan Tithi , Yonatan Fogel , Rezaul Chowdhury

The Breadth First Search (BFS) algorithm is the foundation and building block of many higher graph-based operations such as spanning trees, shortest paths and betweenness centrality. The importance of this algorithm increases each day due…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-04 Julian Romera

Breadth-first search (BFS) is a fundamental graph algorithm that presents significant challenges for parallel implementation due to irregular memory access patterns, load imbalance and synchronization overhead. In this paper, we introduce a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Marati Bhaskar , Raghavendra Kanakagiri

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

For parallel breadth first search (BFS) algorithm on large-scale distributed memory systems, communication often costs significantly more than arithmetic and limits the scalability of the algorithm. In this paper we sufficiently reduce the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-29 Huiwei Lv , Guangming Tan , Mingyu Chen , Ninghui Sun

Breadth-first Search (BFS) is one of the most important graph processing subroutines, especially for computing the unweighted distance. Many applications may require running BFS from multiple sources. Sequentially, when running BFS on a…

Data Structures and Algorithms · Computer Science 2024-10-29 Letong Wang , Guy Blelloch , Yan Gu , Yihan Sun

Although Breadth-First Search (BFS) has several advantages over Depth-First Search (DFS) its prohibitive space requirements have meant that algorithm designers often pass it over in favor of DFS. To address this shortcoming, we introduce a…

Software Engineering · Computer Science 2012-07-05 Srinivas Nedunuri , William R. Cook , Douglas R. Smith

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

There has been significant recent interest in parallel graph processing due to the need to quickly analyze the large graphs available today. Many graph codes have been designed for distributed memory or external memory. However, today even…

Data Structures and Algorithms · Computer Science 2019-08-22 Laxman Dhulipala , Guy E. Blelloch , Julian Shun

Breadth-First Search (BFS) is a building block used in a wide array of graph analytics and is used in various network analysis domains: social, road, transportation, communication, and much more. Over the last two decades, network sizes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-26 Oded Green

This chapter studies the problem of traversing large graphs using the breadth-first search order on distributed-memory supercomputers. We consider both the traditional level-synchronous top-down algorithm as well as the recently discovered…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-15 Aydin Buluc , Scott Beamer , Kamesh Madduri , Krste Asanovic , David Patterson

There has been a rise in the popularity of algebraic methods for graph algorithms given the development of the GraphBLAS library and other sparse matrix methods. An exemplar for these approaches is Breadth-First Search (BFS). The algebraic…

Data Structures and Algorithms · Computer Science 2021-05-14 Paul Burkhardt

The problem of finding dense components of a graph is a widely explored area in data analysis, with diverse applications in fields and branches of study including community mining, spam detection, computer security and bioinformatics. This…

Information Retrieval · Computer Science 2021-03-02 B. D. M. De Zoysa , Y. A. M. M. A. Ali , M. D. I. Maduranga , Indika Perera , Saliya Ekanayake , Anil Vullikanti

Breadth-first search (BFS) is known as a basic search strategy for learning graph properties. As the scales of graph databases have increased tremendously in recent years, large-scale graphs G are often disk-resident. Obtaining the BFS…

Data Structures and Algorithms · Computer Science 2025-07-18 Xiaolong Wan , Xixian Han

We present an efficient distributed memory parallel algorithm for computing connected components in undirected graphs based on Shiloach-Vishkin's PRAM approach. We discuss multiple optimization techniques that reduce communication volume as…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-15 Chirag Jain , Patrick Flick , Tony Pan , Oded Green , Srinivas Aluru

Probabilistic breadth-first traversals (BPTs) are used in many network science and graph machine learning applications. In this paper, we are motivated by the application of BPTs in stochastic diffusion-based graph problems such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-21 Reece Neff , Mostafa Eghbali Zarch , Marco Minutoli , Mahantesh Halappanavar , Antonino Tumeo , Ananth Kalyanaraman , Michela Becchi

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

Large scale-free graphs are famously difficult to process efficiently: the skewed vertex degree distribution makes it difficult to obtain balanced partitioning. Our research instead aims to turn this into an advantage by partitioning the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-05 Scott Sallinen , Abdullah Gharaibeh , Matei Ripeanu

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
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