Which Problems Have Strongly Exponential Complexity?
Tóm tắt
Từ khóa
Tài liệu tham khảo
Abrahamson, 1995, Fixed parameter tractability and completeness IV: On completeness for W[P] and PSPACE analogues
Ajtái, 1983, Σ11-formulae on finite structures, Ann. Pure Appl. Logic, 24, 1, 10.1016/0168-0072(83)90038-6
Alon, 1992
Arora, 1996, Polynomial time approximation schemes for Euclidean TSP and other geometric problems
Arora, 1992, Proof verification and hardness of approximation problems
Bellare, 1996, Proof checking and approximation: Towards tight results, Complexity theory column, Sigact News, 27
Beigel, 1995, 3-Coloring in O(1.3446n) time: A no-MIS algorithm
Boppana, 1990, The complexity of finite functions
Cormen, 1990
Feige, 1991, Approximating Clique is almost NP-complete
T. Feder, and, R. Motwani, Worst-case time bounds for coloring and satisfiability problems, manuscript, September 1998.
Furst, 1984, Parity, circuits, and the polynomial time hierarchy, Math. Systems Theory, 17, 13, 10.1007/BF01744431
Garey, 1979
Håstad, 1986, Almost optimal lower bounds for small depth circuits
Håstad, 1996, Clique is hard to approximate within n1−ε
Håstad, 1997, Some optimal inapproxibility results
Håstad, 1993, Top-down lower bounds for depth 3 circuits
Hirsch, 1998, Two new upper bounds for SAT
O. Kullmann, and, H. Luckhard, Deciding propositional tautologies: Algorithms and their complexity, submitted.
Monien, 1985, Solving satisfiability in less than 2n steps, Discrete Appl. Math., 10, 287, 10.1016/0166-218X(85)90050-2
R. Paturi, P. Pudlák, and F. Zane, Satisfiability coding lemma, in Proceedings of the 38th Annual IEEE Symposium on Foundations of Computer Science, October 1997, pp. 567–574.
R. Paturi, P. Pudlák, M. E. Saks, and F. Zane, An improved exponential-time algorithm for k-SAT, in 1998 Annual IEEE Symposium on Foundations of Computer Science, pp. 628–637.
Paturi, 1997, Exponential lower bounds on depth 3 Boolean circuits
Papadimitriou, 1991, Opimization, approximation and complexity classes, J. Comput. System Sci., 43, 425, 10.1016/0022-0000(91)90023-X
Razborov, 1986, Lower bounds on the size of bounded depth networks over a complete basis with logical addition, Mat. Zameti, 41, 598
Sauer, 1972, On the density of families of sets, J. Combin. Theory Ser. A, 13, 145, 10.1016/0097-3165(72)90019-2
Schiermeyer, 1993, Solving 3-satisfiability in less than 1.579n steps, 702
Schiermeyer, 1996, Pure literal look ahead: An O(1.497n) 3-satisfiability algorithm. Workshop on the satisfiability problem, technical report, 96
Schöning, 1999, A probabilistic algorithm for k-SAT and constraint satisfaction problems
Smolensky, 1987, Algebraic methods in the theory of lower bounds for Boolean circuit complexity
Stearns, 1990, Power indices and easier hand problems, Math. Systems Theory, 23, 209, 10.1007/BF02090776
Johnson, 1999, What are the least tractable instances of Max Clique?
Valiant, 1977, Graph-theoretic arguments in low-level complexity, 53
Van Lint, 1992
Vapnik, 1971, On the uniform convergence of relative frequencies of events to their probabilities, Theory Probab. Appl., 16, 264, 10.1137/1116025
Yao, 1985, Separating the polynomial hierarchy by oracles