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A fast parallel max-flow algorithm
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DOI：10.1016/j.jpdc.2022.07.003.png)
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Abstract
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A new parallel algorithm for the max-flow problem on directed networks with single-source and single -sink is proposed. The algorithm is based on tree sub-networks and on efficient parallel algorithm to compute max-flows on the tree sub-networks. The latter algorithm is proved to be work-optimal and time-optimal. The parallel implementation of the complete algorithm is more efficient than the best known parallel algorithm for the max-flow problem in terms of time-complexity and the sequential implementation of the algorithm achieves the best known sequential time-complexity, without using any complex data-structures or complex manipulations on the network. (C) 2022 Elsevier Inc. All rights reserved.
Keywords:
Combinatorial optimization
Complexity theory
Discrete optimization
Network flow problems
Parallel algorithms
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