% % GENERATED FROM https://www.coli.uni-saarland.de % by : anonymous % IP : coli2006.lst.uni-saarland.de % at : Mon, 05 Feb 2024 15:42:54 +0100 GMT % % Selection : Author: Sven_Thiel % @InProceedings{Althaus_et_al:2001, AUTHOR = {Althaus, Ernst and Duchier, Denys and Koller, Alexander and Mehlhorn, Kurt and Niehren, Joachim and Thiel, Sven}, TITLE = {An Efficient Algorithm for the Configuration Problem of Dominance Graphs}, YEAR = {2001}, BOOKTITLE = {12th ACM-SIAM Symposium on Discrete Algorithms (SODA), January 7-9}, ADDRESS = {Washington D.C., USA}, PUBLISHER = {ACM Press}, URL = {ftp://ftp.ps.uni-sb.de/pub/papers/ProgrammingSysLab/dom-graph.ps.gz}, ABSTRACT = {Dominance constraints are logical tree descriptions originating from automata theory that have multiple applications in computational linguistics. The satisfiability problem of dominance constraints is NP-complete. In most applications, however, only emph(normal) dominance constraints are used. The satisfiability problem of normal dominance constraints can be reduced in linear time to the configuration problem of dominance graphs, as shown recently. In this paper, we give a polynomial time algorithm testing configurability of dominance graphs (and thus satisfiability of normal dominance constraints). Previous to our work no polynomial time algorithms were known.}, ANNOTE = {COLIURL : Althaus:2001:EAC.pdf Althaus:2001:EAC.ps} } @Article{Althaus_et_al:2003, AUTHOR = {Althaus, Ernst and Duchier, Denys and Koller, Alexander and Mehlhorn, Kurt and Niehren, Joachim and Thiel, Sven}, TITLE = {An Efficient Graph Algorithm for Dominance Constraints}, YEAR = {2003}, JOURNAL = {Journal of Algorithms}, VOLUME = {48}, PAGES = {194--219}, URL = {https://www.coli.uni-saarland.de/~koller/papers/eff-dom.ps.gz}, 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.}, ANNOTE = {COLIURL : Althaus:19xx:EGA.pdf Althaus:19xx:EGA.ps} }