A Dynamic Algorithm for Topologically Sorting Directed Acyclic Graphs

  • David J. Pearce
  • Paul H. J. Kelly
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3059)


We consider how to maintain the topological order of a directed acyclic graph (DAG) in the presence of edge insertions and deletions. We present a new algorithm and, although this has marginally inferior time complexity compared with the best previously known result, we find that its simplicity leads to better performance in practice. In addition, we provide an empirical comparison against three alternatives over a large number of random DAG’s. The results show our algorithm is the best for sparse graphs and, surprisingly, that an alternative with poor theoretical complexity performs marginally better on dense graphs.


Random Graph Online Algorithm Batch Size Transitive Closure Topological Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • David J. Pearce
    • 1
  • Paul H. J. Kelly
    • 1
  1. 1.Department of ComputingImperial CollegeLondonUK

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