Bibliography | Lewandowski, Stefan: Shortest Paths and Negative Cycle Detection in Graphs with Negative Weights - I: The Bellman-Ford-Moore Algorithm Revisited. University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology, Technical Report Computer Science No. 2010/05. 36 pages, english.
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CR-Schema | E.1 (Data Structures) G.2.2 (Discrete Mathematics Graph Theory)
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Keywords | shortest path; negative weights; negative cycle detection |
Abstract | Since the mid 1950's when Bellman, Ford, and Moore developped their shortest path algorithm various attempts were made to beat the O(nm) barrier without success. For the special case of integer weights Goldberg's algorithm gave a theoretical improvement, but the algorithm isn't competative in praxis. This technical report is part one of a summary of existing n-pass algorithms and some new variations. In this part we consider the classical algorithm and variations that differ only in the data structure used to maintain the set of nodes to be scanned in the current and following pass. We unify notation and give some experimental results for the average case on various graph classes.
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Full text and other links | PDF (722046 Bytes) PostScript (1011865 Bytes)
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Department(s) | University of Stuttgart, Institute of Formal Methods in Computer Science, Formal Concepts
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Entry date | August 4, 2010 |
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