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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

Constructing a Depth First Search (DFS) tree is a fundamental graph problem, whose parallel complexity is still not settled. Reif showed parallel intractability of lex-first DFS. In contrast, randomized parallel algorithms (and more…

Data Structures and Algorithms · Computer Science 2025-10-09 Archit Chauhan , Samir Datta , M. Praveen

High Bandwidth Memory (HBM) provides massive aggregated memory bandwidth by exposing multiple memory channels to the processing units. To achieve high performance, an accelerator built on top of an FPGA configured with HBM (i.e., FPGA-HBM…

Hardware Architecture · Computer Science 2021-10-13 Kexin Li , Chenhao Liu , Zhiyuan Shao , Zeke Wang , Minkang Wu , Jiajie Chen , Xiaofei Liao , Hai Jin

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

Processing very large graphs like social networks, biological and chemical compounds is a challenging task. Distributed graph processing systems process the billion-scale graphs efficiently but incur overheads of efficient partitioning and…

Data Structures and Algorithms · Computer Science 2014-01-13 Kamran Najeebullah , Kifayat Ullah Khan , Waqas Nawaz , Young-Koo Lee

Graph-searching algorithms play a crucial role in various computational domains, enabling efficient exploration and pathfinding in structured data. Traditional approaches, such as Depth-First Search (DFS) and Breadth-First Search (BFS),…

Social and Information Networks · Computer Science 2025-08-21 Rowanda Ahmed , Belaynesh Chekol , Mahmoud Alsaleh

This article presents a new high-level parallel computational model named BSF - Bulk Synchronous Farm. The BSF model extends the BSP model to deal with the compute-intensive iterative numerical methods executed on distributed-memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-29 Leonid B. Sokolinsky

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

Evolving graphs arise in problems where interrelations between data change over time. We present a breadth first search (BFS) algorithm for evolving graphs that computes the most direct influences between nodes at two different times. Using…

Social and Information Networks · Computer Science 2016-03-07 Jiahao Chen , Weijian Zhang

Component-centric distributed graph processing platforms that use a bulk synchronous parallel (BSP) programming model have gained traction. These address the short-comings of Big Data abstractions/platforms like MapReduce/Hadoop for…

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

Graph searching is one of the simplest and most widely used tools in graph algorithms. Every graph search method is defined using some particular selection rule, and the analysis of the corresponding vertex orderings can aid greatly in…

Discrete Mathematics · Computer Science 2021-09-07 Matjaž Krnc , Nevena Pivač

The rapid advancement of GPU technology has unlocked powerful parallel processing capabilities, creating new opportunities to enhance classic search algorithms. This hardware has been exploited in best-first search algorithms with neural…

Artificial Intelligence · Computer Science 2025-11-18 Ehsan Futuhi , Nathan R. Sturtevant

We introduce Breadth-First Pipeline Parallelism, a novel training schedule which optimizes the combination of pipeline and data parallelism. Breadth-First Pipeline Parallelism lowers training time, cost and memory usage by combining a high…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-10 Joel Lamy-Poirier

Optimizing the parallel training of large models requires exploring intra-operator parallelism plans for a computation graph that typically contains tens of thousands of primitive operators. While the optimization of parallel data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Weifang Hu , Xuanhua Shi , Yunkai Zhang , Chang Wu , Xuan Peng , Jiaqi Zhai , Hai Jin , Xuehai Qian , Jingling Xue , Yongluan Zhou

Rooted spanning trees (RSTs) are a core primitive in parallel graph analytics, underpinning algorithms such as biconnected components and planarity testing. On GPUs, RST construction has traditionally relied on breadth-first search (BFS)…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-13 Abhijeet Sahu , Srikar Vilas Donur

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

More and more large data collections are gathered worldwide in various IT systems. Many of them possess the networked nature and need to be processed and analysed as graph structures. Due to their size they require very often usage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-04 Tomasz Kajdanowicz , Przemyslaw Kazienko , Wojciech Indyk

A common technique to speed up shortest path queries in graphs is to use a bidirectional search, i.e., performing a forward search from the start and a backward search from the destination until a common vertex on a shortest path is found.…

Data Structures and Algorithms · Computer Science 2023-04-04 Thomas Bläsius , Marcus Wilhelm

Parallelization of non-admissible search algorithms such as GBFS poses a challenge because straightforward parallelization can result in search behavior which significantly deviates from sequential search. Previous work proposed PUHF, a…

Data Structures and Algorithms · Computer Science 2025-06-18 Takumi Shimoda , Alex Fukunaga

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee