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Lower Bounds for Linear Satisfiability Problems (1999)

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by Jeff Erickson
Citations:23 - 9 self
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BibTeX

@MISC{Erickson99lowerbounds,
    author = {Jeff Erickson},
    title = {Lower Bounds for Linear Satisfiability Problems},
    year = {1999}
}

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Citations

643 Algorithms in Combinatorial Geometry - Edelsbrunner - 1987
460 A decision method for elementary algebra and geometry - TARSKI - 1951
244 Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms - Edelsbrunner, Mücke - 1990
188 bounds for algebraic computation trees - Lower - 1983
102 Lectures on Polytopes. Volume 152 of Graduate Texts - Ziegler - 1995
99 Some Algebraic and Geometric Computations in PSPACE - Canny - 1988
63 A geometric consistency theorem for a symbolic perturbation scheme - Yap
56 Lower Bounds for Algebraic Decision Trees - Steele, Yao - 1982
51 A general approach to removing degeneracies - Emiris, Canny - 1995
43 Linear decision trees: volume estimates and topological bounds - Björner, Lovász, et al. - 1992
42 Computing road maps in general semi-algebraic sets - Canny - 1993
35 On the Complexity of Computations Under Varying Sets of Primitives - Dobkin, Lipton - 1979
33 On geometric optimization with few violated constraints. Discrete Comput - Matouˇsek - 1995
30 Decision tree complexity and Betti numbers - Yao - 1994
26 New lower bounds for convex hull problems in odd dimensions - Erickson - 1999
24 Better lower bounds on detecting affine and spherical degeneracies - Erickson, Seidel - 1995
23 How good is the information theory bound in sorting? Theor - Fredman - 1976
23 R.: A lower bound for randomized algebraic decision trees - Grigoriev, Karpinski, et al. - 1996
23 Algorithms in real algebraic geometry and applications to computational geometry - Heintz, Recio, et al. - 1991
23 Algebraic decision trees and Euler characteristics - Yao - 1995
19 Filling polyhedral molds - Bose, Kreveld, et al. - 1998
19 Entropy and sorting - Kahn, Kim - 1995
13 Lower bound on testing membership to a polyhedron by algebraic decision and computation trees. Discrete Comput - Grigoriev, Karpinski, et al. - 1997
10 Perfect binary space partitions - Berg, Groot, et al. - 1997
8 On minimum-area hulls - Arkin, Chiang, et al. - 1998
7 How hard are n 2 -hard problems - Bloch, Buss, et al. - 1994
7 Complexity lower bounds for computation trees with elementary transcendental function gates, Theoret - Grigoriev, Vorobjov - 1996
7 Finding an o(n 2 log n) algorithm is sometimes hard - Barrera - 1996
6 Lower bounds for sorting of sums. Theoret - Dietzfelbinger - 1989
5 auf der Heide. A polynomial time linear search algorithm for the n-dimensional knapsack problem - Meyer - 1984
4 Lower bound arguments with “inaccessible” numbers - Dietzfelbinger, Maass - 1988
4 A pseudo-algorithmic separation of lines from pseudo-lines - Steiger, Streinu - 1995
2 Géométrie algébraique réelle, volume12ofErgebnisse der Mathematik und ihrer Grenzgebiete (3 - Bochnak, Coste, et al. - 1987
1 On a class of O(n 2 )problemsin computational geometry - Gajentaan, Overmars - 1995
1 Sorting the sums xi + yi in O(n 2 ) comparisons. Theoret - Lambert - 1992
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