Faster Algorithms for the Shortest Path Problem (Classic Reprint) - Hardcover

Ahuja, Ravindra K.

9780656460038: Faster Algorithms for the Shortest Path Problem (Classic Reprint)

Hardcover

ISBN 10: 0656460032 ISBN 13: 9780656460038

Publisher: Forgotten Books, 2018

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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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