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

 
9781332260799: A Fast and Simple Algorithm for the Maximum Flow Problem (Classic Reprint)

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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.

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Ravindra K. Ahuja, J. B. Orlin
Published by Forgotten Books, 2018
ISBN 10: 1332260799 ISBN 13: 9781332260799
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Paperback. Condition: New. 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. print-on-demand item. Seller Inventory # 9781332260799_0

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Ravindra K. Ahuja
Published by Forgotten Books, 2018
ISBN 10: 1332260799 ISBN 13: 9781332260799
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332260799

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Ravindra K. Ahuja
Published by Forgotten Books, 2018
ISBN 10: 1332260799 ISBN 13: 9781332260799
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Seller: PBShop.store UK, Fairford, GLOS, United Kingdom

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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332260799

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