Associative parallel algorithm for dynamic reconstruction of a minimum spanning tree after deletion of a vertex

  • Authors:
  • Anna Nepomniaschaya

  • Affiliations:
  • Institute of Computational Mathematics and Mathematical Geophysics, Siberian Division of Russian Academy of Sciences, Novosibirsk, Russia

  • Venue:
  • PaCT'05 Proceedings of the 8th international conference on Parallel Computing Technologies
  • Year:
  • 2005

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Abstract

In this paper, we propose an associative parallel algorithm for updating a minimum spanning tree when a vertex and all its incident edges are deleted from the underlying graph. This algorithm is represented as the corresponding procedure implemented on a model of associative parallel systems of the SIMD type with vertical data processing (the STAR–machine). We justify the correctness of this procedure and evaluate its time complexity.