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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

Processing large complex networks like social networks or web graphs has recently attracted considerable interest. In order to do this in parallel, we need to partition them into pieces of about equal size. Unfortunately, previous parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-27 Henning Meyerhenke , Peter Sanders , Christian Schulz

In the recent years, the scale of graph datasets has increased to such a degree that a single machine is not capable of efficiently processing large graphs. Thereby, efficient graph partitioning is necessary for those large graph…

Data Structures and Algorithms · Computer Science 2019-02-06 Md Anwarul kaium Patwary , Saurabh Garg , Byeong Kang

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

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

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

Recent work has initiated the study of dense graph processing using graph sketching methods, which drastically reduce space costs by lossily compressing information about the input graph. In this paper, we explore the strange and surprising…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 David Tench , Evan T. West , Kenny Zhang , Michael Bender , Daniel DeLayo , Martin Farach-Colton , Gilvir Gill , Tyler Seip , Victor Zhang

To solve many problems on graphs, graph traversals are used, the usual variants of which are the depth-first search and the breadth-first search. Implementing a graph traversal we consequently reach all vertices of the graph that belong to…

Discrete Mathematics · Computer Science 2025-02-18 A. V. Prolubnikov

Network embedding has been intensively studied in the literature and widely used in various applications, such as link prediction and node classification. While previous work focus on the design of new algorithms or are tailored for various…

Social and Information Networks · Computer Science 2019-11-12 Wenqing Lin , Feng He , Faqiang Zhang , Xu Cheng , Hongyun Cai

Multi-constraint hypergraph partitioning is a generalization of balanced partitioning, where the vertex set of a hypergraph is partitioned such that the inter-block connectivity of hyperedges is minimized while balancing the vertices with…

Data Structures and Algorithms · Computer Science 2026-05-28 Nikolai Maas

The problem of efficiently computing the betweenness centrality of nodes has been researched extensively. To date, the best known exact and centralized algorithm for this task is an algorithm proposed in 2001 by Brandes. The contribution of…

Data Structures and Algorithms · Computer Science 2015-06-05 Dora Erdos , Vatche Ishakian , Azer Bestavros , Evimaria Terzi

Social Graph Analytics applications are very often built using off-the-shelf analytics frameworks. These, however, are profiled and optimized for the general case and have to perform for all kinds of graphs. This paper investigates how…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-23 Iacovos Kolokasis , Polyvios Pratikakis

We develop an algorithm that finds the consensus of many different clustering solutions of a graph. We formulate the problem as a median set partitioning problem and propose a greedy optimization technique. Unlike other approaches that find…

Information Retrieval · Computer Science 2024-08-22 Md Taufique Hussain , Mahantesh Halappanavar , Samrat Chatterjee , Filippo Radicchi , Santo Fortunato , Ariful Azad

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

Partitioning the vertices of a (hyper)graph into k roughly balanced blocks such that few (hyper)edges run between blocks is a key problem for large-scale distributed processing. A current trend for partitioning huge (hyper)graphs using low…

Data Structures and Algorithms · Computer Science 2023-02-14 Kamal Eyubov , Marcelo Fonseca Faraj , Christian Schulz

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

An important objective for analyzing real-world graphs is to achieve scalable performance on large, streaming graphs. A challenging and relevant example is the graph partition problem. As a combinatorial problem, graph partition is NP-hard,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-10 Edward Kao , Vijay Gadepally , Michael Hurley , Michael Jones , Jeremy Kepner , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Siddharth Samsi , William Song , Diane Staheli , Steven Smith

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

Graph embedding is a popular algorithmic approach for creating vector representations for individual vertices in networks. Training these algorithms at scale is important for creating embeddings that can be used for classification, ranking,…

Machine Learning · Computer Science 2019-07-04 C. Bayan Bruss , Anish Khazane , Jonathan Rider , Richard Serpe , Saurabh Nagrecha , Keegan E. Hines

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