Tight bounds on the number of minimum-mean cycle cancellations:

Abstract: "We prove a tight [theta](min(nm log(nC), nm²)) bound on the number of iterations of the minimum-mean cycle canceling algorithm of Goldberg and Tarjan [12]. We do this by giving the lower bound and by improving the strongly polynomial upper bound on the number of iterations to O(nm²)....

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Bibliographic Details
Main Authors: Radzik, Tomasz (Author), Goldberg, Andrew V. (Author)
Format: Book
Language:English
Published: Stanford, Calif. 1990
Series:Stanford University / Computer Science Department: Report STAN CS 1328
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Summary:Abstract: "We prove a tight [theta](min(nm log(nC), nm²)) bound on the number of iterations of the minimum-mean cycle canceling algorithm of Goldberg and Tarjan [12]. We do this by giving the lower bound and by improving the strongly polynomial upper bound on the number of iterations to O(nm²). We also give an improved version of the maximum-mean cut canceling algorithm of [6], which is a dual of the minimum-mean cycle canceling algorithm. Our version of the dual algorithm runs in O(nm²) iterations."
Physical Description:18 S.

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