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  An Efficient Implementation of a Quasi-polynomial Algorithm for Generating Hypergraph Transversals

Boros, E., Elbassioni, K. M., Khachiyan, L., & Gurvich, V. (2003). An Efficient Implementation of a Quasi-polynomial Algorithm for Generating Hypergraph Transversals. In Algorithms - ESA 2003 (pp. 556-567). Berlin: Springer.

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 Creators:
Boros, Endre1, Author
Elbassioni, Khaled M.2, Author           
Khachiyan, Leonid1, Author
Gurvich, Vladimir1, Author
Affiliations:
1External Organizations, ou_persistent22              
2Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: Given a finite set V, and a hypergraph , the hypergraph transversal problem calls for enumerating all minimal hitting sets (transversals) for . This problem plays an important role in practical applications as many other problems were shown to be polynomially equivalent to it. Fredman and Khachiyan (1996) gave an incremental quasi-polynomial time algorithm for solving the hypergraph transversal problem [9]. In this paper, we present an efficient implementation of this algorithm. While we show that our implementation achieves the same bound on the running time as in [9], practical experience with this implementation shows that it can be substantially faster. We also show that a slight modification of the algorithm in [9] can be used to give a stronger bound on the running time.

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Language(s): eng - English
 Dates: 2003
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: Elbassioni2003e
DOI: 10.1007/978-3-540-39658-1_51
 Degree: -

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Title: ESA 2003
Place of Event: Budapest, Hungary
Start-/End Date: 2003-09-16 - 2003-09-19

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Title: Algorithms - ESA 2003
  Abbreviation : ESA 2003
  Subtitle : 11th Annual European Symposium, Budapest, Hungary, September 16-19, 2003. Proceedings
Source Genre: Proceedings
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Publ. Info: Berlin : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 556 - 567 Identifier: -

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Title: Lecture Notes in Computer Science
  Abbreviation : LNCS
Source Genre: Series
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Pages: - Volume / Issue: 2832 Sequence Number: - Start / End Page: - Identifier: -