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When is the Evaluation of Conjunctive Queries Tractable? (2000)  (Make Corrections)  (5 citations)
Martin Grohe, Thomas Schwentick, Luc Segoufin
ACM Symposium on Theory of Computing



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Abstract: The evaluation of conjunctive queries is hard both with respect to its combined complexity (NPcomplete) and its parameterized complexity (W[1]-complete). It becomes tractable (PTIME for combined complexity, FPT for parameterized complexity), when conjunctive queries have a bounded treewidth structure. In this paper we show that, in a sense, this is optimal both with respect to combined and parameterized complexity : Evaluating conjunctive queries is tractable precisely for those classes of... (Update)

Context of citations to this paper:   More

.... the characterization of classes of formulas for which the evaluation of first order conjunctive queries is fixed parameter tractable, GSS01] This happens iff the treewidth of the (underlying graph of the) formulas is of bounded. 6 2 Discussion and proofs Various weaker...

...same color, then h(x) and h(y) have the same color. Parameter: jHj W[1] complete (membership is easy; hardness by reduction from Clique [77]) Note: Related to Database Conjunctive Query Evaluation. Solvable in polynomial time when c = 1. Colored Proper Interval Graph Completion...

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BibTeX entry:   (Update)

M. Grohe, T. Schwentick, and L. Segoufin. When is the evaluation of conjunctive queries tractable? In STOCS'01, pages xx--yy, 2001. http://citeseer.ist.psu.edu/article/grohe00when.html   More

@inproceedings{ grohe01when,
    author = "Martin Grohe and Thomas Schwentick and Luc Segoufin",
    title = "When is the evaluation of conjunctive queries tractable?",
    booktitle = "{ACM} Symposium on Theory of Computing",
    pages = "657-666",
    year = "2001",
    url = "citeseer.ist.psu.edu/article/grohe00when.html" }
Citations (may not include all citations):
379   The complexity of relational query languages (context) - Vardi - 1982
232   Optimal implementation of conjunctive queries in relational .. (context) - Chandra, Merlin - 1977
222   Fixed-parameter tractability and completeness II: On complet.. - Downey, Fellows - 1995
189   Parameterized Complexity - Downey, Fellows - 1999
49   Excluding a planar graph (context) - Robertson, Seymour - 1986
48   Conjunctive query containment revisited - Chekuri, Rajaraman - 1997
40   Algorithms for acyclic database schemes (context) - Yannakakis - 1981
22   Hypertree decompositions and tractable queries (context) - Gottlob, Leone et al. - 1999
21   Query-evaluation via tree-decompositions - Flum, Frick et al. - 2001
20   Perspectives on database theory (context) - Yannakakis - 1995
19   the complexity of database queries (context) - Papadimitriou, Yannakakis - 1997
7   The Complexity of Decision Problems in Automata Theory (context) - Stockmeyer - 1974
6   Reducibilities among combinatorial problems (context) - Karp - 1972

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