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A new algorithm for computing transitive closures

Published:14 March 2004Publication History

ABSTRACT

In this paper, we propose a new algorithm for computing transitive closures. It needs only O(e·b) time and O(n·b) space, where n represents the number of the nodes of a DAG (directed acyclic graph), e the numbers of the edges, and b the DAG's breadth.

References

  1. D. E. Knuth, The Art of Computer Programming, Vol. 1, Addison-Wesley, Reading, 1969. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. J. Tarjan: Finding Optimum Branching, Networks, 7. 1977, pp. 25-35.Google ScholarGoogle Scholar

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  1. A new algorithm for computing transitive closures

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              cover image ACM Conferences
              SAC '04: Proceedings of the 2004 ACM symposium on Applied computing
              March 2004
              1733 pages
              ISBN:1581138121
              DOI:10.1145/967900

              Copyright © 2004 ACM

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              Association for Computing Machinery

              New York, NY, United States

              Publication History

              • Published: 14 March 2004

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