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  $\Delta$-Stepping: A Parallel Single Source Shortest Path Algorithm

Meyer, U., & Sanders, P. (1998). $\Delta$-Stepping: A Parallel Single Source Shortest Path Algorithm. In G. Bilardi, G. F. Italiano, A. Pietracaprina, & G. Pucci (Eds.), Proceedings of the 6th Annual European Symposium on Algorithms (ESA-98) (pp. 393-404). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-377B-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-377D-8
Genre: Conference Paper

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 Creators:
Meyer, Ulrich1, Author           
Sanders, Peter1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: In spite of intensive research, little progress has been made towards fast and work-efficient parallel algorithms for the single source shortest path problem. Our \emph{$\Delta$-stepping algorithm}, a generalization of Dial's algorithm and the Bellman-Ford algorithm, improves this situation at least in the following ``average-case'' sense: For random directed graphs with edge probability $\frac{d}{n}$ and uniformly distributed edge weights a PRAM version works in expected time ${\cal O}(\log^3 n/\log\log n)$ using linear work. The algorithm also allows for efficient adaptation to distributed memory machines. Implementations show that our approach works on real machines. As a side effect, we get a simple linear time sequential algorithm for a large class of not necessarily random directed graphs with random edge weights.

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Language(s): eng - English
 Dates: 2010-03-021998
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 517932
Other: Local-ID: C1256428004B93B8-460E70E77293F8C7C1256678004E0EF2-MeyerSanders1998a
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Title: Untitled Event
Place of Event: Venice, Italy
Start-/End Date: 1998

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Title: Proceedings of the 6th Annual European Symposium on Algorithms (ESA-98)
Source Genre: Proceedings
 Creator(s):
Bilardi, Gianfranco, Editor
Italiano, Giuseppe F., Editor
Pietracaprina, Andrea, Editor
Pucci, Geppino, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 393 - 404 Identifier: ISBN: 3-540-64848-8

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 1461 Sequence Number: - Start / End Page: - Identifier: -