Paper Info
Title
Multithreaded Algorithms for Maximum Matching in Bipartite Graphs
Abstract
We design, implement, and evaluate algorithms for computing a matching of maximum cardinality in a bipartite graph on multicore and massively multithreaded computers. As computers with larger numbers of slower cores dominate the commodity processor market, the design of multithreaded algorithms to solve large matching problems becomes a necessity. Recent work on serial algorithms for the matching problem has shown that their performance is sensitive to the order in which the vertices are processed for matching. In a multithreaded environment, imposing a serial order in which vertices are considered for matching would lead to loss of concurrency and performance. But this raises the question: {em Would parallel matching algorithms on multithreaded machines improve performance over a serial algorithm?}We answer this question in the affirmative. We report efficient multithreaded implementations of three classes of algorithms based on their manner of searching for augmenting paths: breadth-first-search, depth-first-search, and a combination of both. The Karp-Sipser initialization algorithm is used to make the parallel algorithms practical. We report extensive results and insights using three shared-memory platforms (a 48-core AMD Opteron, a 32-coreIntel Nehalem, and a 128-processor Cray XMT) on a representative set of real-world and synthetic graphs. To the best of our knowledge, this is the first study of augmentation-based parallel algorithms for bipartite cardinality matching that demonstrates good speedups on multithreaded shared memory multiprocessors.
Year
DOI
Venue
2012
10.1109/IPDPS.2012.82
IPDPS
Field
DocType
ISSN
Computer science,Cardinality,Theoretical computer science,Distributed computing,Graph theory,Cray XMT,Parallel algorithm,Parallel computing,Bipartite graph,Algorithm,Matching (graph theory),3-dimensional matching,Pattern matching
Conference
1530-2075
ISBN
Citations 
PageRank 
978-1-4673-0975-2
5
0.43
References 
Authors
0
6
Name
Order
Citations
PageRank
Ariful Azad113815.71
Mahantesh Halappanavar221833.64
Sivasankaran Rajamanickam344633.19
Erik G. Boman458738.27
Arif Khan581.82
Alex Pothen629132.14