Faster Algorithms for the Shortest Path Problem (Classic Reprint)

Language: English

Published by Forgotten Books, 2018

1332260764 / 9781332260768

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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.…

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Title
Faster Algorithms for the Shortest Path Problem (Classic Reprint)
Author
Ravindra K. Ahuja, Kurt Mehlhorn
Publisher
Forgotten Books
Publication year
2018
Condition
New
Book Type
print-on-demand item
Binding
Paperback
Language
English
ISBN 10
1332260764
ISBN 13
9781332260768
Seller catalogs
Calculus

Forgotten Books

London, United Kingdom

5-star seller

AbeBooks seller since June 2, 2021

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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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