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This book presents a new approach to improving the efficiency of the maximum flow problem, a cornerstone of network flow theory with wide-ranging applications in computer science, operations research, and other disciplines. The author extends and refines existing preflow algorithms to obtain asymptotically faster running times for the problem. The book offers a detailed analysis of these improved algorithms, showing how they achieve their speedup and providing insights into the behavior of network flow algorithms in general. It concludes by introducing dynamic trees, a sophisticated data structure, into the mix to further enhance efficiency, resulting in the fastest known algorithm for the maximum flow problem at the time of writing.
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Excerpt from Improved Time Bounds for the Maximum Flow Problem
When the algorithm terminates, f is a maximum flow. Goldberg and Tarjan derived the fol lowing bounds on the number of steps required by the algorithm.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- VerlagForgotten Books
- Erscheinungsdatum2018
- ISBN 10 1333734816
- ISBN 13 9781333734817
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten27
- Kontakt zum HerstellerNicht verfügbar
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Improved Time Bounds for the Maximum Flow Problem (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book presents a new approach to improving the efficiency of the maximum flow problem, a cornerstone of network flow theory with wide-ranging applications in computer science, operations research, and other disciplines. The author extends and refines existing preflow algorithms to obtain asymptotically faster running times for the problem. The book offers a detailed analysis of these improved algorithms, showing how they achieve their speedup and providing insights into the behavior of network flow algorithms in general. It concludes by introducing dynamic trees, a sophisticated data structure, into the mix to further enhance efficiency, resulting in the fastest known algorithm for the maximum flow problem at the time of writing. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333734817_0
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