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Breadth First Search (BFS) is a widely used approach for sampling large unknown Internet topologies. Its main advantage over random walks and other exploration techniques is that a BFS sample is a plausible graph on its own, and therefore…

Social and Information Networks · Computer Science 2011-02-23 Maciej Kurant , Athina Markopoulou , Patrick Thiran

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

This paper quantifies the impact of branches and branch mispredictions on the single-core performance for two classes of graph problems. Specifically, we consider classical algorithms for computing connected components and breadth-first…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-11 Oded Green , Marat Dukhan , Richard Vuduc

Fuzzy systems (FSs) have enjoyed wide applications in various fields, including pattern recognition, intelligent control, data mining and bioinformatics, which is attributed to the strong interpretation and learning ability. In traditional…

Artificial Intelligence · Computer Science 2023-09-21 Fuping Hu , Zhaohong Deng , Zhenping Xie , Kup-Sze Choi , Shitong Wang

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

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

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

Search is a central problem in artificial intelligence, and breadth-first search (BFS) and depth-first search (DFS) are the two most fundamental ways to search. In this paper we derive estimates for average BFS and DFS runtime. The average…

Artificial Intelligence · Computer Science 2018-04-13 Tom Everitt , Marcus Hutter

Breadth First Search (BFS) and other graph traversal techniques are widely used for measuring large unknown graphs, such as online social networks. It has been empirically observed that an incomplete BFS is biased toward high degree nodes.…

Discrete Mathematics · Computer Science 2011-02-23 Maciej Kurant , Athina Markopoulou , Patrick Thiran

We present an algorithm for a fault tolerant Depth First Search (DFS) Tree in an undirected graph. This algorithm is drastically simpler than the current state-of-the-art algorithms for this problem, uses optimal space and optimal…

Data Structures and Algorithms · Computer Science 2019-03-28 Surender Baswana , Shiv Kumar Gupta , Ayush Tulsyan

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

Analyzing large graph data is an essential part of many modern applications, such as social networks. Due to its large computational complexity, distributed processing is frequently employed. This requires graph data to be divided across…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-12 YoungJoon Park , DongKyu Lee , Tien-Cuong Bui

Graph algorithms and techniques are increasingly being used in scientific and commercial applications to express relations and explore large data sets. Although conventional or commodity computer architectures, like CPU or GPU, can compute…

Hardware Architecture · Computer Science 2017-07-03 Michel A. Kinsy , Rashmi S. Agrawal , Hien D. Nguyen

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

Foundation Models (FMs) serve as a general class for the development of artificial intelligence systems, offering broad potential for generalization across a spectrum of downstream tasks. Despite extensive research into self-supervised…

Machine Learning · Computer Science 2024-06-17 Yuhao Xu , Xinqi Liu , Keyu Duan , Yi Fang , Yu-Neng Chuang , Daochen Zha , Qiaoyu Tan

In this paper, we propose a GPU-efficient subgraph isomorphism algorithm using the Gunrock graph analytic framework, GSM (Gunrock Subgraph Matching), to compute graph matching on GPUs. In contrast to previous approaches on the CPU which are…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-12 Leyuan Wang , John D. Owens

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

In a general graph data structure like an adjacency matrix, when edges are homogeneous, the connectivity of two nodes can be sufficiently represented using a single bit. This insight has, however, not yet been adequately exploited by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-23 Jou-An Chen , Hsin-Hsuan Sung , Xipeng Shen , Nathan Tallent , Kevin Barker , Ang Li

Partitioning a graph into blocks of "roughly equal" weight while cutting only few edges is a fundamental problem in computer science with a wide range of applications. In particular, the problem is a building block in applications that…

Data Structures and Algorithms · Computer Science 2021-05-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Christian Schulz , Daniel Seemaier

Due to the irregular nature of connections in most graph datasets, partitioning graph analysis algorithms across multiple computational nodes that do not share a common memory inevitably leads to large amounts of interconnect traffic.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Nina Engelhardt , Hayden K. -H. So