Efficient NC algorithms for set cover with applications to learning and geometry
Tài liệu tham khảo
Agarwal, 1990, Partitioning arrangements of lines I: An efficient deterministic algorithm, Discrete Computat. Geom., 5, 449, 10.1007/BF02187805
Alon, 1986, A fast and simple randomized parallel algorithm for the maximal independent set problem, J. Algorithms, 7, 567, 10.1016/0196-6774(86)90019-2
Anderson, 1985
Anderson, 1990, Parallel algorithms for arrangements, 298
Awerbuch, 1989, Compact distributed data structures for adaptive routing, 479
Blumer, 1986, Learnability and the Vapnik-Chervonenkis dimension, 273
Chazelle, 1989, A deterministic view of random sampling and its use in geometry, 539
Chvatal, 1979, A greedy heuristic for the set-covering problem, Math. Oper. Res., 4, 233, 10.1287/moor.4.3.233
Clarkson, 1987, New applications of random sampling in computational geometry, Discrete Comput. Geom., 2, 195, 10.1007/BF02187879
Clarkson, 1988, A randomized algorithm for closest-point queries, SIAM J. Comput., 17, 830, 10.1137/0217052
Clarkson, 1989, Applications of random sampling in computational geometry, II, Discrete Comput. Geom., 4, 387, 10.1007/BF02187740
Edelsbrunner, 1988, The complexity of many faces in arrangements of lines and of segments, 44
Edelsbrunner, 1986, Constructing arrangements of lines and hyperplanes with applications, SIAM J. Comput., 15, 341, 10.1137/0215024
Haussler, 1987, Epsilon-nets and simplex range queries, Discrete Comput. Geom., 2, 127, 10.1007/BF02187876
Johnson, 1974, Approximation algorithms for combinatorial problems, J. Comput. System Sci., 256, 10.1016/S0022-0000(74)80044-9
Karp, 1975, Reducibility among combinatorial problems
Karp, 1985, A fast parallel algorithm for the maximal independent set problem, J. Assoc. Comput. Mach., 32, 762, 10.1145/4221.4226
Lovász, 1975, On the ratio of optimal integral and fractional covers, Discrete Math., 13, 383, 10.1016/0012-365X(75)90058-8
Luby, 1986, A simple parallel algorithm for the maximal independent set problem SIAM, J. Comput., 15, 1036
Luby, 1988, Removing randomness in parallel computation without a processor penalty, 162
Matoušek, 1990, Construction on epsilon nets, Discrete Comput. Geom., 5, 427, 10.1007/BF02187804
Matoušek, 1990, Cutting hyperplane arrangements, 1
Motwani, 1989, The probabilistic method yields deterministic parallel algorithms, 8
Reif, 1987, Optimal randomized and parallel algorithms for computational geometry
Reif, 1989, Polling: a new randomized sampling technique for computational geometry, 394
Sauer, 1972, On the density of families of sets, J. Combin. Theory Ser. A, 13, 145, 10.1016/0097-3165(72)90019-2
Vapnik, 1971, On uniform convergence of relative frequencies of events to their probabilities, Theory of Probab. Appl., 16, 264, 10.1137/1116025
Vitter, 1992, Learning in parallel, Inform. Comput., 96, 179, 10.1016/0890-5401(92)90047-J
Goodrich, 1991, Constructing arrangements optimally in parallel, 169