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  An Efficient Implementation of a Joint Generation Algorithm

Boros, E., Elbassioni, K., Gurvich, V., & Khachiyan, L. (2004). An Efficient Implementation of a Joint Generation Algorithm. In Experimental and efficient algorithms: Third International Workshop, WEA 2004 (pp. 114-128). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2A1E-D Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2A20-5
Genre: Conference Paper

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WAE04.pdf (Any fulltext), 265KB
 
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 Creators:
Boros, Endre, Author
Elbassioni, Khaled1, Author           
Gurvich, Vladimir, Author
Khachiyan, Leonid, Author
Ribeiro, Celso C., Editor
Martins, Simone L., Editor
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: Let $\cC$ be an n-dimensional integral box, and $\pi$ be a monotone property defined over the elements of $\cC$. We consider the problems of incrementally generating jointly the families $\cF_{\pi}$ and $\cI(cF_{\pi})$ of all minimal subsets satisfying property $\pi$ and all maximal subsets not satisfying property $\pi$, when $\pi$ is given by a polynomial-time satisfiability oracle. Problems of this type arise in many practical applications. It is known that the above joint generation problem can be solved in incremental quasi-polynomial time. In this paper, we present an efficient implementation of this procedure. We present experimental results to evaluate our implementation for a number of interesting monotone properties $\pi$.

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Language(s): eng - English
 Dates: 2005-04-212004
 Publication Status: Issued
 Pages: -
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 Rev. Type: -
 Identifiers: eDoc: 232026
Other: Local-ID: C1256428004B93B8-6A93A5BCF0711754C1256FB0006A0E15-Elbassioni2004a
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Title: Untitled Event
Place of Event: Angra dos Reis, Brazil
Start-/End Date: 2004-05-25

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Title: Experimental and efficient algorithms : Third International Workshop, WEA 2004
Source Genre: Proceedings
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Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 114 - 128 Identifier: ISBN: 3-540-22067-4

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Title: Lecture Notes in Computer Science
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Pages: - Volume / Issue: 3059 Sequence Number: - Start / End Page: - Identifier: -