A Fast and Simple Algorithm for the Maximum Flow Problem (Classic Reprint)

Ravindra K. Ahuja, J. B. Orlin

ISBN 10: 1332260799 / ISBN 13: 9781332260799

Edité par Forgotten Books, 2024

A propos de cet article

Print on Demand. This book introduces a groundbreaking algorithm for solving the maximum flow problem in a network, a problem at the heart of network theory with applications in operations research, engineering, and computer science. The author improves upon previous algorithms, including the prevalent Goldberg-Tarjan algorithm, by introducing a novel excess scaling technique. This approach significantly reduces the number of non-saturating pushes, leading to an improved time complexity of O(nm n2 log U), where U represents the upper bound on integral arc capacities. The algorithm becomes particularly efficient when U is polynomially bounded in n, outperforming existing approaches in such scenarios. Unlike complex layered network-based algorithms, this approach leverages distance labels, offering simplicity and ease of implementation. The book also discusses future directions and potential refinements to the algorithm, making it a valuable resource for researchers and practitioners seeking to optimize network flows. 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. N° de réf. du vendeur 9781332260799_0

Détails bibliographiques

Titre : A Fast and Simple Algorithm for the Maximum ...

Éditeur : Forgotten Books

Date d'édition : 2024

Reliure : Paperback

Etat : New

Type de livre : print-on-demand item

A propos de ce titre

Synopsis :

Excerpt from A Fast and Simple Algorithm for the Maximum Flow Problem

Due to Ford and Fulkerson [1956] Edmonds and Karp [1972] Dinic [1970] Karzanov [1974] Cherkasky [1977] Malhotra, Kumar and Maheshwari [1978] Galil [1980] Galil and Naamad Shiloach [1978] Shiloach and hkin [1982] Sleator and Tarjan [1983] Tarjan [1984] Gabow [1985] Goldberg [1985] Goldberg and Taxjan [1986] Chen'yan and Maheshwari [1987] Ahuja and Odin [1987] Ahuja, 0m and Tarjan [1987.

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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.