Indexed Binary Operations in the GraphBLAS

GraphBLAS is a sparse matrix library for graph algorithms. We could improve the GraphBLAS and support a wider range of applications if we had an indexed binary operator; i.e., a binary operator that depends on elements from two matrices and their positions (indices). We propose a design for these operators and illustrate their impact on performance and expressiveness for several algorithms including breadth-firstsearch, argmin/argmax, vector search, and finite-element assembly.

Authors

Institutions

Publication Details

Published
2024-09-23
DOI
https://doi.org/10.1109/hpec62836.2024.10938456
Primary Topic
Graph Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Indexed Binary Operations in the GraphBLAS

Matthias Maier, Scott McMillan, Timothy G. Mattson, Manaswinee Bezbaruah et al.
Graph Theory and Algorithms
article

Indexed Binary Operations in the GraphBLAS

Matthias Maier, Scott McMillan, Timothy G. Mattson, Manaswinee Bezbaruah, Timothy A. Davis, Erik Welch, Michel Peletier
article en

Abstract

GraphBLAS is a sparse matrix library for graph algorithms. We could improve the GraphBLAS and support a wider range of applications if we had an indexed binary operator; i.e., a binary operator that depends on elements from two matrices and their positions (indices). We propose a design for these operators and illustrate their impact on performance and expressiveness for several algorithms including breadth-firstsearch, argmin/argmax, vector search, and finite-element assembly.

Software Engineering Institute (US), Nvidia (United Kingdom) (GB), Carnegie Mellon University (US), Texas A&M University (US)
Openalex Percentile: Top 71%
Graph Theory and Algorithms
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.