A slightly improved sub-cubic algorithm for the all pairs shortest paths problem with real edge lengths

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Abstract

We present an O(n3√log log n/ log n) time algorithm for the All Pairs Shortest Paths (APSP) problem for directed graphs with real edge lengths. This improves, by a factor of about √log n, previous algorithms for the problem obtained by Fredman, Takaoka and Dobosiewicz.

Original languageEnglish
Pages (from-to)921-932
Number of pages12
JournalLecture Notes in Computer Science
Volume3341
DOIs
StatePublished - 2004

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