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)....

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Radzik, Tomasz (VerfasserIn), Goldberg, Andrew V. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Stanford, Calif. 1990
Schriftenreihe:Stanford University / Computer Science Department: Report STAN CS 1328
Schlagworte:
Zusammenfassung: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."
Beschreibung:18 S.