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Finding small vertex covers in a graph has applications in numerous domains. Two common formulations of the problem include: Minimum Vertex Cover, which finds the smallest vertex cover in a graph, and Parameterized Vertex Cover, which finds…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-25 Peter Yamout , Karim Barada , Adnan Jaljuli , Amer E. Mouawad , Izzat El Hajj

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

We develop an efficient parallel algorithm for answering shortest-path queries in planar graphs and implement it on a multi-node CPU/GPU clusters. The algorithm uses a divide-and-conquer approach for decomposing the input graph into small…

Data Structures and Algorithms · Computer Science 2015-03-26 Guillaume Chapuis , Hristo Djidjev

This work introduces two techniques for the design and analysis of branching algorithms, illustrated through the case study of the Vertex Cover problem. First, we present a method for automatically generating branching rules through a…

Data Structures and Algorithms · Computer Science 2025-10-13 Katie Clinch , Serge Gaspers , Tao Zixu He , Simon Mackenzie , Tiankuang Zhang

Acceleration of graph applications on GPUs has found large interest due to the ubiquitous use of graph processing in various domains. The inherent \textit{irregularity} in graph applications leads to several challenges for parallelization.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-02 Ananya Raval , Rupesh Nasre , Vivek Kumar , Vasudevan R , Sathish Vadhiyar , Keshav Pingali

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-05 Ciaran McCreesh , Patrick Prosser

Hypergraph partitioning is a recurring NP-hard problem in engineering; its efficient solution at scale hinges on parallelism. This work proposes a GPU-centric algorithm for multi-level hypergraph partitioning aimed at a specific set of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-21 Marco Ronzani , Cristina Silvano

Modeling data sharing in GPU programs is a challenging task because of the massive parallelism and complex data sharing patterns provided by GPU architectures. Better GPU caching efficiency can be achieved through careful task scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-04 Lingda Li , Ari B. Hayes , Stephen A. Hackler , Eddy Z. Zhang , Mario Szegedy , Shuaiwen Leon Song

Branch-and-Bound (B&B) algorithms are time intensive tree-based exploration methods for solving to optimality combinatorial optimization problems. In this paper, we investigate the use of GPU computing as a major complementary way to speed…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-21 Melab Nouredine , Imen Chakroun , Mezmaz Mohand , Daniel Tuyttens

Process mapping asks to assign vertices of a task graph to processing elements of a supercomputer such that the computational workload is balanced while the communication cost is minimized. Motivated by the recent success of GPU-based graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Petr Samoldekin , Christian Schulz , Henning Woydt

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

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

In this paper, we explore the limits of graphics processors (GPUs) for general purpose parallel computing by studying problems that require highly irregular data access patterns: parallel graph algorithms for list ranking and connected…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-25 Frank Dehne , Kumanan Yogaratnam

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

Finding a maximum independent set is a fundamental NP-hard problem that is used in many real-world applications. Given an unweighted graph, this problem asks for a maximum cardinality set of pairwise non-adjacent vertices. Some of the most…

Data Structures and Algorithms · Computer Science 2021-03-30 Demian Hespe , Sebastian Lamm , Christian Schorr

Many algorithms which exactly solve hard problems require branching on more or less complex structures in order to do their job. Those who design such algorithms often find themselves doing a meticulous analysis of numerous different cases…

Data Structures and Algorithms · Computer Science 2023-07-04 Radovan Červený , Ondřej Suchý

Counting k-cliques in a graph is an important problem in graph analysis with many applications such as community detection and graph partitioning. Counting k-cliques is typically done by traversing search trees starting at each vertex in…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-07 Mohammad Almasri , Izzat El Hajj , Rakesh Nagi , Jinjun Xiong , Wen-mei Hwu

Supercomputers are equipped with an increasingly large number of cores to use computational power as a way of solving problems that are otherwise intractable. Unfortunately, getting serial algorithms to run in parallel to take advantage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-31 Faisal N. Abu-Khzam , Khuzaima Daudjee , Amer E. Mouawad , Naomi Nishimura

We present a GPU solution for exact maximal clique enumeration (MCE) that performs a search tree traversal following the Bron-Kerbosch algorithm. Prior works on parallelizing MCE on GPUs perform a breadth-first traversal of the tree, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Mohammad Almasri , Yen-Hsiang Chang , Izzat El Hajj , Rakesh Nagi , Jinjun Xiong , Wen-mei Hwu

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
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