A deficit scaling algorithm for the minimum flow problem
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In this paper, we develop a new preflow algorithm for the minimum flow problem, called deficit scaling algorithm. This is a special implementation of the generic preflow algorithm for the minimum flow problem developed by Ciurea and Ciupală earlier. The bottleneck operation in the generic preflow algorithm is the number of noncancelling pulls. Using the scaling technique (i.e. selecting the active nodes with sufficiently large deficits), we reduce the number of noncancelling pulls to O(n 2 log-c) and obtain an O(nm +n 2 log-c) algorithm.
KeywordsNetwork flow network algorithms minimum flow problem scaling technique
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