High-Performance Parallel Graph Coloring with Strong Guarantees on Work, Depth, and Quality
- Conference Paper
Rights / licenseIn Copyright - Non-Commercial Use Permitted
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 to color vertices in the order dictated by this relaxation. This introduces a tunable amount of parallelism into the degeneracy ordering that is otherwise hard to parallelize. This simple idea enables significant benefits in several key aspects of graph coloring. For example, one of our algorithms ensures polylogarithmic depth and a bound on the number of used colors that is superior to all other parallelizable schemes, while maintaining workefficiency. In addition to provable guarantees, the developed algorithms have competitive run-times for several real-world graphs, while almost always providing superior coloring quality. Our degeneracy ordering relaxation is of separate interest for algorithms outside the context of coloring. Show more
Book titleSC20: International Conference for High Performance Computing, Networking, Storage and Analysis
Pages / Article No.
Organisational unit03950 - Hoefler, Torsten / Hoefler, Torsten
NotesConference lecture held on November 19, 2020. Due to the Coronavirus (COVID-19) the conference was conducted virtually.
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