Parallel Construction and Query of Index Data Structures for Pattern Matching on Square Matrices

@article{Giancarlo1999ParallelCA,
  title={Parallel Construction and Query of Index Data Structures for Pattern Matching on Square Matrices},
  author={Raffaele Giancarlo and Roberto Grossi},
  journal={J. Complex.},
  year={1999},
  volume={15},
  pages={30-71}
}
We describe fast parallel algorithms for building index data structures that can be used to gather various statistics on square matrices. The main data structure is the Lsuffix tree, which is a generalization of the classical suffix tree for strings. Given ann×ntext matrixA, we build our data structures inO(logn) time withn2processors on a CRCW PRAM, so that we can quickly processAin parallel as follows: (i) report some statistical information aboutA, e.g., find the largest repeated square… 

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