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. Seller Inventory # 9781332260799_0

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

Publisher: Forgotten Books

Publication Date: 2024

Binding: Paperback

Condition: New

Book Type: print-on-demand item

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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 Vishkin [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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Forgotten Books? Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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