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A New Algorithm for Normal Dominance Constraints

Manuel Bodirsky 1 Denys Duchier 2 Joachim Niehren 3, 4 Sebastian Miele 5
1 Department of Computer Science [Berlin]
2 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
3 MOSTRARE - Modeling Tree Structures, Machine Learning, and Information Extraction
LIFL - Laboratoire d'Informatique Fondamentale de Lille, Inria Lille - Nord Europe
4 LIFL - Laboratoire d'Informatique Fondamentale de Lille
5 Programming Systems Lab [Saarland]
Abstract : Dominance constraints are logical descriptions of trees. Efficient algorithms for the subclass of normal dominance constraints were recently proposed. We present a new and simpler graph algorithm solving these constraints more efficiently, in quadratic time per solved form. It also applies to weakly normal dominance constraints as needed for an application to computational linguistics. Subquadratic running time can be achieved employing decremental graph biconnectivity algorithms.
Mots-clés : contraintes de dominance graph algorithms dominance constraints algorithme de graphe
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https://hal.inria.fr/inria-00536536
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Submitted on : Thursday, November 18, 2010 - 4:36:01 PM
Last modification on : Monday, June 15, 2020 - 12:00:33 PM
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  • HAL Id : inria-00536536, version 1

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CNRS | INRIA | UNIV-LILLE3 | MOSTRARE | LIFL | LORIA | UNIV-LORRAINE

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Manuel Bodirsky, Denys Duchier, Joachim Niehren, Sebastian Miele. A New Algorithm for Normal Dominance Constraints. ACM-SIAM Symposium on Discrete Algorithms - SODA'2003, Jan 2004, New Orleans, Louisiana, United States. pp.59-67. ⟨inria-00536536⟩

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