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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

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

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

To find a shortest path between two nodes $s_0$ and $s_1$ in a given graph, a classical approach is to start a Breadth-First Search (BFS) from $s_0$ and run it until the search discovers $s_1$. Alternatively, one can start two Breadth-First…

Social and Information Networks · Computer Science 2024-10-30 Sacha Cerf , Benjamin Dayan , Umberto De Ambroggio , Marc Kaufmann , Johannes Lengler , Ulysse Schaller

Graphs and their traversal is becoming significant as it is applicable to various areas of mathematics, science and technology. Various problems in fields as varied as biochemistry (genomics), electrical engineering (communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-11 Anuj Sharma , Syed Mohammed Arshad Zaidi

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

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

It is well-known since the seventies of last century that Depth First Search (DFS) can be used to compute strongly connected components [RE. Tarjan. SIAM Journal on Computing, 1972] and Breadth First Search (BFS) can be used to compute…

Data Structures and Algorithms · Computer Science 2026-05-05 Binh-Minh Bui-Xuan , Michel Habib , Fabien de Montgolfier , Renaud Torfs

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

The Breadth-First Search (BFS) algorithm is an important building block for graph analysis of large datasets. The BFS parallelisation has been shown to be challenging because of its inherent characteristics, including irregular memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-21 Mireya Paredes , Graham Riley , Mikel Lujan

Breadth First Search (BFS) is a building block for graph algorithms and has recently been used for large scale analysis of information in a variety of applications including social networks, graph databases and web searching. Due to its…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-12 Mireya Paredes , Graham Riley , Mikel Lujan

Breadth-First Search (BFS) is a fundamental graph kernel that underpins a wide range of applications. While modern GPUs provide specialised Matrix-Multiply-Accumulate (MMA) units, e.g., Tensor Cores (TC), with extremely high throughput,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Deniz Elbek , Kamer Kaya

Enumerating consistent global states of a computation is a fundamental problem in parallel computing with applications to debug- ging, testing and runtime verification of parallel programs. Breadth-first search (BFS) enumeration is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-26 Himanshu Chauhan , Vijay Garg

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

In the big data era, graph computing is widely used to exploit the hidden value in real-world graphs in various scenarios such as social networks, knowledge graphs, web searching, and recommendation systems. However, the random memory…

Data Structures and Algorithms · Computer Science 2024-07-23 Zite Jiang , Tao Liu , Shuai Zhang , Zhen Guan , Mengting Yuan , Haihang You

On a GPU cluster, the ratio of high computing power to communication bandwidth makes scaling breadth-first search (BFS) on a scale-free graph extremely challenging. By separating high and low out-degree vertices, we present an…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-06 Yuechao Pan , Roger Pearce , John D. Owens

The BFS algorithm is a basic graph data processing algorithm and many other graph data processing algorithms have similar architectural features with BFS algorithm and can be built on the basis of BFS algorithm model. We analyze the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-30 Chenglong Zhang

We provide the first approximation quality guarantees for the Cuthull-McKee heuristic for reordering symmetric matrices to have low bandwidth, and we provide an algorithm for reconstructing bounded-bandwidth graphs from distance oracles…

Data Structures and Algorithms · Computer Science 2025-07-10 David Eppstein , Michael T. Goodrich , Songyu Liu
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