A Block-Based Triangle Counting Algorithm on Heterogeneous Environments

Yasar, Abdurrahman; Rajamanickam, Sivasankaran; Berry, Jonathan W.; Catalyurek, Umit V.

doi:10.1109/tpds.2021.3093240

A Block-Based Triangle Counting Algorithm on Heterogeneous Environments

Journal Article · 01 February 2022 · IEEE Transactions on Parallel and Distributed Systems

DOI:https://doi.org/10.1109/tpds.2021.3093240· OSTI ID:1810367

Yasar, Abdurrahman ^[1]; Rajamanickam, Sivasankaran ^[2]; Berry, Jonathan W. ^[2]; Catalyurek, Umit V. ^[1]

Georgia Institute of Technology, Atlanta, GA (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Computing Research

Triangle counting is a fundamental building block in graph algorithms. In this article, we propose a block-based triangle counting algorithm to reduce data movement during both sequential and parallel execution. Our block-based formulation makes the algorithm naturally suitable for heterogeneous architectures. The problem of partitioning the adjacency matrix of a graph is well-studied. Our task decomposition goes one step further: it partitions the set of triangles in the graph. By streaming these small tasks to compute resources, we can solve problems that do not fit on a device. We demonstrate the effectiveness of our approach by providing an implementation on a compute node with multiple sockets, cores and GPUs. The current state-of-the-art in triangle enumeration processes the Friendster graph in 2.1 seconds, not including data copy time between CPU and GPU. Using that metric, our approach is 20 percent faster. When copy times are included, our algorithm takes 3.2 seconds. This is 5.6 times faster than the fastest published CPU-only time.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: National Science Foundation (NFS); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000; NA0003525

Other Award/Contract Number:: CF-1919021

OSTI ID:: 1810367

Report Number(s):: SAND--2021-7901J; 697218

Journal Information:: IEEE Transactions on Parallel and Distributed Systems, Journal Name: IEEE Transactions on Parallel and Distributed Systems Journal Issue: 2 Vol. 33; ISSN 1045-9219

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

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97 MATHEMATICS AND COMPUTING
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multi-GPU
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sub-graph
task-based
triangle counting

A Block-Based Triangle Counting Algorithm on Heterogeneous Environments

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