Description
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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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.
Details
Publisher - Forgotten Books
Author(s) - Ravindra K. Ahuja
Hardback
Published Date -
ISBN - 9780656460038
Dimensions - 22.9 x 15.2 x 0.6 cm
Page Count - 44
Paperback
Published Date -
ISBN - 9781332260768
Dimensions -
Page Count -
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