Derandomization in Computational Geometry
暂无分享,去创建一个
[1] Jirí Matousek,et al. Discrepancy and approximations for bounded VC-dimension , 1993, Comb..
[2] Bonnie Berger,et al. Simulating (logcn)-wise independence in NC , 1991, JACM.
[3] Nimrod Megiddo,et al. Combinatorial optimization with rational objective functions , 1978, Math. Oper. Res..
[4] Nancy M. Amato,et al. Computing faces in segment and simplex arrangements , 1995, STOC '95.
[5] Jirí Matousek. Construction of ɛ-nets , 1990, Discret. Comput. Geom..
[6] Ketan Mulmuley. A Fast Planar Partition Algorithm, I , 1990, J. Symb. Comput..
[7] Richard Cole,et al. On k-hulls and related problems , 1984, STOC '84.
[8] Jirí Matousek,et al. Reporting Points in Halfspaces , 1992, Comput. Geom..
[9] Kenneth L. Clarkson,et al. Algorithms for diametral pairs and convex hulls that are optimal, randomized, and incremental , 1988, SCG '88.
[10] Moni Naor,et al. The Probabilistic Method Yields Deterministic Parallel Algorithms , 1994, J. Comput. Syst. Sci..
[11] Noga Alon,et al. Partitioning and geometric embedding of range spaces of finite Vapnik-Chervonenkis dimension , 1987, SCG '87.
[12] Micha Sharir,et al. An expander-based approach to geometric optimization , 1993, SCG '93.
[13] Nimrod Megiddo,et al. Linear Programming in Linear Time When the Dimension Is Fixed , 1984, JACM.
[14] Joe W. Harris,et al. Algebraic Geometry: A First Course , 1995 .
[15] A. Joffe. On a Set of Almost Deterministic $k$-Independent Random Variables , 1974 .
[16] Michael Luby. Removing randomness in parallel computation without a processor penalty , 1988, [Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science.
[17] Ketan Mulmuley,et al. A fast planar partition algorithm, II , 1989, JACM.
[18] Éva Tardos,et al. Using separation algorithms in fixed dimension , 1990, SODA '90.
[19] Otfried Cheong. Ray Shooting in Convex Polytopes , 1992, Symposium on Computational Geometry.
[20] David R. Karger,et al. (De)randomized Construction of Small Sample Spaces in NC , 1997, J. Comput. Syst. Sci..
[21] R. Seidel. Backwards Analysis of Randomized Geometric Algorithms , 1993 .
[22] Jirí Matousek,et al. Geometric range searching , 1994, CSUR.
[23] Nimrod Megiddo,et al. Constructing small sample spaces satisfying given constraints , 1993, SIAM J. Discret. Math..
[24] Leonidas J. Guibas,et al. Computing a face in an arrangement of line segments , 1991, SODA '91.
[25] Michael T. Goodrich,et al. Almost optimal set covers in finite VC-dimension , 1995, Discret. Comput. Geom..
[26] Richard M. Karp,et al. An introduction to randomized algorithms , 1991, Discret. Appl. Math..
[27] Nimrod Megiddo. Combinatorial Optimization with Rational Objective Functions , 1979, Math. Oper. Res..
[28] Pankaj K. Agarwal. Geometric Partitioning and its Applications , 1990, Discrete and Computational Geometry.
[29] Bernard Chazelle,et al. Quasi-optimal range searching in spaces of finite VC-dimension , 1989, Discret. Comput. Geom..
[30] David M. Mount,et al. A randomized algorithm for slope selection , 1992, Int. J. Comput. Geom. Appl..
[31] Edgar A. Ramos. Construction of 1-d lower envelopes and applications , 1997, SCG '97.
[32] L. Chew. Building Voronoi Diagrams for Convex Polygons in Linear Expected Time , 1990 .
[33] Noga Alon,et al. Simple Construction of Almost k-wise Independent Random Variables , 1992, Random Struct. Algorithms.
[34] Richard Cole,et al. Slowing down sorting networks to obtain faster sorting algorithms , 2015, JACM.
[35] Jirí Matousek,et al. Approximations and optimal geometric divide-and-conquer , 1991, STOC '91.
[36] Leonidas J. Guibas,et al. Combinatorial complexity bounds for arrangements of curves and spheres , 1990, Discret. Comput. Geom..
[37] David Eppstein,et al. Approximating center points with iterative Radon points , 1996, Int. J. Comput. Geom. Appl..
[38] Noga Alon,et al. A Fast and Simple Randomized Parallel Algorithm for the Maximal Independent Set Problem , 1985, J. Algorithms.
[39] Aravind Srinivasan,et al. Chernoff-Hoeffding bounds for applications with limited independence , 1995, SODA '93.
[40] Pankaj K. Agarwal. Partitioning arrangements of lines I: An efficient deterministic algorithm , 1990, Discret. Comput. Geom..
[41] Ketan Mulmuley,et al. A fast planar partition algorithm, II , 1991, SCG '89.
[42] Prabhakar Raghavan,et al. Probabilistic construction of deterministic algorithms: Approximating packing integer programs , 1986, 27th Annual Symposium on Foundations of Computer Science (sfcs 1986).
[43] Bernard Chazelle,et al. Derandomizing an Output-sensitive Convex Hull Algorithm in Three Dimensions , 1995, Comput. Geom..
[44] Kenneth L. Clarkson,et al. New applications of random sampling in computational geometry , 1987, Discret. Comput. Geom..
[45] MatoušekJiří. Geometric range searching , 1994 .
[46] Sivan Toledo,et al. Applications of parametric searching in geometric optimization , 1992, SODA '92.
[47] Timothy M. Chan. Fixed-dimensional linear programming queries made easy , 1996, SCG '96.
[48] Dan Gusfield,et al. Parametric Combinatorial Computing and a Problem of Program Module Distribution , 1983, JACM.
[49] Jirí Matousek,et al. A deterministic algorithm for the three-dimensional diameter problem , 1993, STOC '93.
[50] Noam Nisan,et al. Pseudorandom generators for space-bounded computation , 1992, Comb..
[51] David Haussler,et al. ɛ-nets and simplex range queries , 1987, Discret. Comput. Geom..
[52] Micha Sharir,et al. An Expander-Based Approach to Geometric Optimization , 1997, SIAM J. Comput..
[53] Micha Sharir,et al. Red-Blue intersection detection algorithms, with applications to motion planning and collision detection , 1990, SCG '88.
[54] Kenneth L. Clarkson,et al. A Randomized Algorithm for Closest-Point Queries , 1988, SIAM J. Comput..
[55] Prabhakar Raghavan,et al. Randomized algorithms and pseudorandom numbers , 1993, JACM.
[56] Jirí Matousek. Cutting hyperplane arrangements , 1991, Discret. Comput. Geom..
[57] Noga Alon,et al. Simple construction of almost k-wise independent random variables , 1990, Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science.
[58] Raimund Seidel,et al. Constructing higher-dimensional convex hulls at logarithmic cost per face , 1986, STOC '86.
[59] Micha Sharir,et al. Optimal Slope Selection Via Expanders , 1993, CCCG.
[60] David Eppstein,et al. Approximating center points with iterated radon points , 1993, SCG '93.
[61] Martin E. Dyer,et al. A class of convex programs with applications to computational geometry , 1992, SCG '92.
[62] Michael T. Goodrich. Geometric partitioning made easier, even in parallel , 1993, SCG '93.
[63] Jirí Matousek. Linear Optimization Queries , 1993, J. Algorithms.
[64] Jirí Matousek,et al. A Deterministic Algorithm for the Three-dimensional Diameter Problem , 1996, Comput. Geom..
[65] William L. Steiger,et al. Algorithms for ham-sandwich cuts , 1994, CCCG.
[66] Ketan Mulmuley,et al. On levels in arrangements and voronoi diagrams , 1991, Discret. Comput. Geom..
[67] Andrew Chi-Chih Yao,et al. A general approach to d-dimensional geometric queries , 1985, STOC '85.
[68] Nimrod Megiddo,et al. A Deterministic Poly(log log N)-Time N-Processor Algorithm for Linear Programming in Fixed Dimensions , 1996, SIAM J. Comput..
[69] Leonidas J. Guibas,et al. Lines in space - combinatorics, algorithms and applications , 1989, Symposium on the Theory of Computing.
[70] Nimrod Megiddo,et al. Constructing Small Sample Spaces Satisfying Given Constraints , 1994, SIAM J. Discret. Math..
[71] Otfried Cheong,et al. On ray shooting in convex polytopes , 1993, Discret. Comput. Geom..
[72] Dennis G. Severance,et al. Mathematical Techniques for Efficient Record Segmentation in Large Shared Databases , 1976, JACM.
[73] Jirí Matousek,et al. Computing many faces in arrangements of lines and segments , 1994, SCG '94.
[74] Jirí Matousek,et al. Cutting hyperplane arrangements , 1990, SCG '90.
[75] Marco Pellegrini,et al. On point location and motion planning among simplices , 1994, STOC '94.
[76] Richard M. Karp,et al. A fast parallel algorithm for the maximal independent set problem , 1985, JACM.
[77] Bernard Chazelle,et al. Optimal Slope Selection Via Cuttings , 1994, CCCG.
[78] Jirí Matousek,et al. On range searching with semialgebraic sets , 1992, Discret. Comput. Geom..
[79] Noga Alon,et al. The Probabilistic Method , 2015, Fundamentals of Ramsey Theory.
[80] Kenneth L. Clarkson,et al. Applications of random sampling in computational geometry, II , 1988, SCG '88.
[81] Bonnie Berger,et al. Efficient NC Algorithms for Set Cover with Applications to Learning and Geometry , 1994, J. Comput. Syst. Sci..
[82] Bernard Chazelle,et al. Cutting hyperplanes for divide-and-conquer , 1993, Discret. Comput. Geom..
[83] Jirí Matousek,et al. How to net a lot with little: small ε-nets for disks and halfspaces , 1990, SCG '90.
[84] Jirí Matousek,et al. Efficient partition trees , 1991, SCG '91.
[85] Jirí Matousek,et al. Discrepancy and approximations for bounded VC-dimension , 1991, [1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science.
[86] Martin E. Dyer,et al. A parallel algorithm for linear programming in fixed dimension , 1995, SCG '95.
[87] David Haussler,et al. Epsilon-nets and simplex range queries , 1986, SCG '86.
[88] Kenneth L. Clarkson,et al. Las Vegas algorithms for linear and integer programming when the dimension is small , 1995, JACM.
[89] Leonidas J. Guibas,et al. Combinatorics and Algorithms of Arrangements , 1993 .
[90] Raimund Seidel,et al. A Simple and Fast Incremental Randomized Algorithm for Computing Trapezoidal Decompositions and for Triangulating Polygons , 1991, Comput. Geom..
[91] Moni Naor,et al. Small-Bias Probability Spaces: Efficient Constructions and Applications , 1993, SIAM J. Comput..
[92] Mark de Berg,et al. On lazy randomized incremental construction , 1994, STOC '94.
[93] Micha Sharir,et al. Red-Blue Intersection Detection Algorithms, with Applications to Motion Planning and Collision Detection , 1990, SIAM J. Comput..
[94] John Rompel,et al. Techniques for computing with low-independence randomness , 1990 .
[95] Nancy M. Amato,et al. Parallel algorithms for higher-dimensional convex hulls , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.
[96] Y. Mansour,et al. On construction of k-wise independent random variables , 1994, STOC '94.
[97] Raimund Seidel,et al. Small-dimensional linear programming and convex hulls made easy , 1991, Discret. Comput. Geom..
[98] Edith Cohen,et al. Strongly polynomial-time and NC algorithms for detecting cycles in dynamic graphs , 1989, STOC '89.
[99] Herbert Edelsbrunner,et al. Algorithms in Combinatorial Geometry , 1987, EATCS Monographs in Theoretical Computer Science.
[100] Noam Nisan,et al. Approximations of general independent distributions , 1992, STOC '92.
[101] Yishay Mansour,et al. On construction ofk-wise independent random variables , 1997, Comb..
[102] Jirí Matousek,et al. Randomized Optimal Algorithm for Slope Selection , 1991, Inf. Process. Lett..
[103] Leonidas J. Guibas,et al. Diameter, width, closest line pair, and parametric searching , 1993, Discret. Comput. Geom..
[104] Edgar A. Ramos. An algorithm for intersecting equal radius balls in R\u3\d , 1994 .
[105] Nimrod Megiddo,et al. Applying parallel computation algorithms in the design of serial algorithms , 1981, 22nd Annual Symposium on Foundations of Computer Science (sfcs 1981).
[106] Vladimir Vapnik,et al. Chervonenkis: On the uniform convergence of relative frequencies of events to their probabilities , 1971 .
[107] Bernard Chazelle,et al. An optimal convex hull algorithm in any fixed dimension , 1993, Discret. Comput. Geom..
[108] Avi Wigderson,et al. Expanders That Beat the Eigenvalue Bound: Explicit Construction and Applications , 1999, Comb..
[109] Bernard Chazelle,et al. On linear-time deterministic algorithms for optimization problems in fixed dimension , 1996, SODA '93.
[110] Micha Sharir,et al. A subexponential bound for linear programming , 1992, SCG '92.
[111] Ketan Mulmuley,et al. Computational geometry : an introduction through randomized algorithms , 1993 .
[112] Edgar A. Ramos,et al. Solving Some Discrepancy Problems in NC , 1997, Algorithmica.
[113] János Komlós,et al. Almost tight bounds forɛ-Nets , 1992, Discret. Comput. Geom..
[114] Michael Luby. Removing Randomness in Parallel Computation without a Processor Penalty , 1993, J. Comput. Syst. Sci..
[115] Bernard Chazelle,et al. A deterministic view of random sampling and its use in geometry , 1990, Comb..
[116] Jirí Matousek,et al. Computing Many Faces in Arrangements of Lines and Segments , 1998, SIAM J. Comput..
[117] Leonidas J. Guibas,et al. Diameter, width, closest line pair, and parametric searching , 1992, SCG '92.
[118] Ketan Mulmuley. Randomized geometric algorithms and pseudo-random generators , 1992, Proceedings., 33rd Annual Symposium on Foundations of Computer Science.
[119] Micha Sharir,et al. Selecting distances in the plane , 1990, SCG '90.
[120] Paul Erdös,et al. On a Combinatorial Game , 1973, J. Comb. Theory A.
[121] Michael T. Goodrich,et al. Fixed-dimensional parallel linear programming via relative ε-approximations , 1996, SODA '96.
[122] Kenneth L. Clarkson,et al. RANDOMIZED GEOMETRIC ALGORITHMS , 1992 .
[123] Endre Szemerédi,et al. An Optimal-Time Algorithm for Slope Selection , 1989, SIAM J. Comput..
[124] Russ Bubley,et al. Randomized algorithms , 1995, CSUR.
[125] Ivan J. Balaban,et al. An optimal algorithm for finding segments intersections , 1995, SCG '95.
[126] Edith Cohen,et al. Strongly polynomial-time and NC algorithms for detecting cycles in periodic graphs , 1993, JACM.
[127] Leonidas J. Guibas,et al. A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and its Applications , 1991, Theor. Comput. Sci..
[128] Richard Cole,et al. On k-Hulls and Related Problems , 1987, SIAM J. Comput..
[129] Micha Sharir,et al. Davenport-Schinzel sequences and their geometric applications , 1995, Handbook of Computational Geometry.