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An Efficient Graph Algorithm for Dominance Constraints

Identifieur interne : 003A08 ( Crin/Curation ); précédent : 003A07; suivant : 003A09

An Efficient Graph Algorithm for Dominance Constraints

Auteurs : Ernst Althaus ; Denys Duchier ; Alexander Koller ; Kurt Mehlhorn ; Joachim Niehren ; Sven Thiel

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RBID : CRIN:althaus03a

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Abstract

Dominance constraints are logical descriptions of trees that are widely used in computational linguistics. Their general satisfiability problem is known to be NP-complete. Here we identify normal dominance constraints and present an efficient graph algorithm for testing their satisfiablity in deterministic polynomial time. Previously, no polynomial time algorithm was known.

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CRIN:althaus03a

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<div type="abstract" xml:lang="en" wicri:score="2240">Dominance constraints are logical descriptions of trees that are widely used in computational linguistics. Their general satisfiability problem is known to be NP-complete. Here we identify normal dominance constraints and present an efficient graph algorithm for testing their satisfiablity in deterministic polynomial time. Previously, no polynomial time algorithm was known.</div>
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<crinnumber>A03-R-279</crinnumber>
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<e>Althaus, Ernst</e>
<e>Duchier, Denys</e>
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<e>Niehren, Joachim</e>
<e>Thiel, Sven</e>
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<title>An Efficient Graph Algorithm for Dominance Constraints</title>
<journal>Journal of Algorithms</journal>
<year>2003</year>
<volume>48</volume>
<number>1</number>
<pages>194-219</pages>
<month>May</month>
<note>Special Issue of SODA 2001.</note>
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<abstract>Dominance constraints are logical descriptions of trees that are widely used in computational linguistics. Their general satisfiability problem is known to be NP-complete. Here we identify normal dominance constraints and present an efficient graph algorithm for testing their satisfiablity in deterministic polynomial time. Previously, no polynomial time algorithm was known.</abstract>
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