Associative Version of Italiano’s Decremental Algorithm for the Transitive Closure Problem

  • Anna Nepomniaschaya
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4671)


We propose a natural implementation of Italiano’s algorithm for updating the transitive closure of directed graphs after deletion of an edge on a model of associative (content addressable) parallel systems with vertical processing (the STAR–machine). The associative version of Italiano’s decremental algorithm is given as procedure DeleteArc, whose correctness is proved and time complexity is evaluated. We compare implementations of Italiano’s decremental algorithm and its associative version and enumerate the main advantages of the associative version.


Span Tree Transitive Closure Elementary Operation Path Query Information Processing Letter 
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© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Anna Nepomniaschaya
    • 1
  1. 1.Institute of Computational Mathematics and Mathematical Geophysics, Siberian Division of the Russian Academy of Sciences, pr. Lavrentieva, 6, Novosibirsk, 630090Russia

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