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A deficit scaling algorithm for the minimum flow problem

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Abstract

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.

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Authors and Affiliations

  1. Department of Computer Science, Faculty of Mathematics & Informatics, Transilvania University of Braşov, Romania

    Laura Ciupală

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  1. Laura Ciupală
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Ciupală, L. A deficit scaling algorithm for the minimum flow problem. Sadhana 31, 227–233 (2006). https://doi.org/10.1007/BF02703378

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  • DOI: https://doi.org/10.1007/BF02703378

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