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Excerpt from Faster Algorithms for the Shortest Path Problem
Surprisingly, these two directions have not been very complementary. The algorithms that achieve the best worst-case complexity have generally not been attractive empirically and the algorithms that have performed well in practice have generally failed to have an attractive worst-case bound. In this paper, we present new implementations of Dijkstra's algorithm intended to bridge this gap. Under the assumption that arc lengths are bounded by a polynomial function of n these algorithms achieve the best possible worst-case complexity for all but very sparse graphs and yet are simple enough to be efficient in practice.
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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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Excerpt from Faster Algorithms for the Shortest Path Problem
Surprisingly, these two directions have not been very complementary. The algorithms that achieve the best worst-case complexity have generally not been attractive empirically and the algorithms that have performed well in practice have generally failed to have an attractive worst-case bound. In this paper, we present new implementations of Dijkstra's algorithm intended to bridge this gap. Under the assumption that arc lengths are bounded by a polynomial function of n these algorithms achieve the best possible worst-case complexity for all but very sparse graphs and yet are simple enough to be efficient in practice.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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.
"About this title" may belong to another edition of this title.
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Faster Algorithms for the Shortest Path Problem (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book introduces new algorithms that are the fastest known for solving the shortest path problem. These algorithms implement Dijkstra's method using a new data structure called a redistributive heap. The redistributive heap divides data into ranges, and moves items between ranges as needed during the algorithm. Using this approach, the author shows that the shortest path problem can be solved in O(m n log C) time, which is asymptotically faster than previous implementations. The author goes on to introduce two more specialized variants of the algorithm: a two-level redistributive heap, which runs in O(m n log C / log log nC) time; and a modified Fibonacci heap, which runs in O(m n log C / log log nC) time. The book's analysis of these algorithms under both uniform and semi-logarithmic models of computation makes it valuable to both theorists and practitioners. Overall, this book provides a comprehensive study of the shortest path problem and its most efficient solutions to date. 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 # 9781332260768_0
Quantity: Over 20 available
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Faster Algorithms for the Shortest Path Problem Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332260768
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Faster Algorithms for the Shortest Path Problem Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332260768
Quantity: 15 available