## Efficient transitive closure of sparse matrices over closed semirings.(English)Zbl 1088.68042

Summary: This paper surveys several alternative data structures and algorithms for multiplying sparse upper-triangular matrices over closed semirings, and evaluates their efficiency in computing transitive closures of matrices over the Boolean semiring. Two new variants are introduced that outperform previously known methods on a collection of large data-sets drawn from linguistic applications.

### MSC:

 68P05 Data structures 68W30 Symbolic computation and algebraic computation 65F50 Computational methods for sparse matrices 68T50 Natural language processing

### Software:

Algorithm 97; WordNet; DIMACS
Full Text:

### References:

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