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Random graph generation is an important tool for studying large complex networks. Despite abundance of random graph models, constructing models with application-driven constraints is poorly understood. In order to advance state-of-the-art…

Data Structures and Algorithms · Computer Science 2018-01-01 Mohsen Bayati , Andrea Montanari , Amin Saberi

We present efficient parallel algorithms for computing maximal matchings in hypergraphs. Our algorithm finds locally maximal edges in the hypergraph and adds them in parallel to the matching. In the CRCW PRAM models our algorithms achieve…

Data Structures and Algorithms · Computer Science 2026-03-13 Henrik Reinstädtler , Christian Schulz , Nodari Sitchinava , Fabian Walliser

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

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

In parallel computing, a valid graph coloring yields a lock-free processing of the colored tasks, data points, etc., without expensive synchronization mechanisms. However, coloring is not free and the overhead can be significant. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-11 Mustafa Kemal Taş , Kamer Kaya , Erik Saule

For a deep learning model, efficient execution of its computation graph is key to achieving high performance. Previous work has focused on improving the performance for individual nodes of the computation graph, while ignoring the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Linpeng Tang , Yida Wang , Theodore L. Willke , Kai Li

Uniform sampling from graphical realizations of a given degree sequence is a fundamental component in simulation-based measurements of network observables, with applications ranging from epidemics, through social networks to Internet…

Physics and Society · Physics 2010-04-14 Charo I. Del Genio , Hyunju Kim , Zoltan Toroczkai , Kevin E. Bassler

Large-scale distributed graph-parallel computing is challenging. On one hand, due to the irregular computation pattern and lack of locality, it is hard to express parallelism efficiently. On the other hand, due to the scale-free nature,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-22 Jie Yan , Guangming Tan , Ninghui Sun

Hyperbolic random graphs (HRG) and geometric inhomogeneous random graphs (GIRG) are two similar generative network models that were designed to resemble complex real world networks. In particular, they have a power-law degree distribution…

Data Structures and Algorithms · Computer Science 2019-08-26 Thomas Bläsius , Tobias Friedrich , Maximilian Katzmann , Ulrich Meyer , Manuel Penschuck , Christopher Weyand

The future of high-performance computing is aligning itself towards the efficient use of highly parallel computing environments. One application where the use of massive parallelism comes instinctively is Monte Carlo simulations, where a…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-11 S. Hissoiny , P. Després , B. Ozell

In the field of complex networks and graph theory, new results are typically tested on graphs generated by a variety of algorithms such as the Erd\H{o}s-R\'{e}nyi model or the Barab\'{a}si-Albert model. Unfortunately, most graph generating…

Combinatorics · Mathematics 2018-08-16 Isaac Klickstein , Francesco Sorrentino

Determining the degree of inherent parallelism in classical sequential algorithms and leveraging it for fast parallel execution is a key topic in parallel computing, and detailed analyses are known for a wide range of classical algorithms.…

Data Structures and Algorithms · Computer Science 2023-04-24 Alexander Fedorov , Diba Hashemi , Giorgi Nadiradze , Dan Alistarh

Nucleus decompositions have been shown to be a useful tool for finding dense subgraphs. The coreness value of a clique represents its density based on the number of other cliques it is adjacent to. One useful output of nucleus decomposition…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Jessica Shi , Laxman Dhulipala , Julian Shun

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

GPU-based HPC clusters are attracting more scientific application developers due to their extensive parallelism and energy efficiency. In order to achieve portability among a variety of multi/many core architectures, a popular choice for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-10 Ali TehraniJamsaz , Alok Mishra , Akash Dutta , Abid M. Malik , Barbara Chapman , Ali Jannesari

Graph pattern matching, which aims to discover structural patterns in graphs, is considered one of the most fundamental graph mining problems in many real applications. Despite previous efforts, existing systems face two main challenges.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-30 Tianhui Shi , Mingshu Zhai , Yi Xu , Jidong Zhai

With the rapid growth of unstructured and semistructured data, parallelizing graph algorithms has become essential for efficiency. However, due to the inherent irregularity in computation, memory access patterns, and communication, graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Nibedita Behera , Ashwina Kumar , Atharva Chougule , Mohammed Shan P S , Rushabh Nirdosh Lalwani , Rupesh Nasre

We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

Data Structures and Algorithms · Computer Science 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

We develop the first parallel graph coloring heuristics with strong theoretical guarantees on work and depth and coloring quality. The key idea is to design a relaxation of the vertex degeneracy order, a well-known graph theory concept, and…

Data Structures and Algorithms · Computer Science 2020-11-12 Maciej Besta , Armon Carigiet , Zur Vonarburg-Shmaria , Kacper Janda , Lukas Gianinazzi , Torsten Hoefler

This paper initiates the studies of parallel algorithms for core maintenance in dynamic graphs. The core number is a fundamental index reflecting the cohesiveness of a graph, which are widely used in large-scale graph analytics. The core…

Data Structures and Algorithms · Computer Science 2017-01-02 Na Wang , Dongxiao Yu , Hai Jin , Chen Qian , Xia Xie , Qiang-Sheng Hua