Title
Shared Memory Parallel Subgraph Enumeration
Abstract
The subgraph enumeration problem asks us to find all subgraphs of a target graph that are isomorphic to a given pattern graph. Determining whether even one such isomorphic subgraph exists is NP-complete—and therefore finding all such subgraphs (if they exist) is a time-consuming task. Subgraph enumeration has applications in many fields, including biochemistry and social networks, and interestingly the fastest algorithms for solving the problem for biochemical inputs are sequential. Since they depend on depth-first tree traversal, an efficient parallelization is far from trivial. Nevertheless, since important applications produce data sets with increasing difficulty, parallelism seems beneficial. We thus present here a shared-memory parallelization of the state-of-the-art subgraph enumeration algorithms RI and RI-DS (a variant of RI for dense graphs) by Bonnici et al. [BMC Bioinformatics, 2013]. Our strategy uses work stealing and our implementation demonstrates a significant speedup on real-world biochemical data---despite a highly irregular data access pattern. We also improve RI-DS by pruning the search space better; this further improves the empirical running times compared to the already highly tuned RI-DS.
Year
DOI
Venue
2017
10.1109/IPDPSW.2017.133
2017 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW)
Keywords
DocType
Volume
subgraph enumeration,subgraph isomorphism,parallel combinatorial search,graph mining,network analysis
Conference
abs/1705.09358
ISSN
ISBN
Citations 
2164-7062
978-1-5386-3409-7
1
PageRank 
References 
Authors
0.35
24
3
Name
Order
Citations
PageRank
Raphael Kimmig110.35
Henning Meyerhenke252242.22
Darren Strash323817.72