Preview
Unable to display preview. Download preview PDF.
References
M. Ben-Or: Lower bounds for algebraic computation trees, Proc. 15th STOC (1983), 80–86
J.L. Bentley, D. Haken, R. Hon: Fast geometric algorithms for VLSI tasks, Proc. Comput. Conf. 1981, 88–92
J.L. Bentley, H.A. Maurer: Efficient worst case data structures for range searching, Acta Inform. 13 (1980), 155–168
H. Edelsbrunner: A new approach to rectangle intersections, Intern. J. Comp. Math., 13 (1983), 209–229
Th. Fischer: Lower bounds in the geometry of boxes (to appear)
Th. Fischer: Voronoi diagrams and lower bounds (to appear)
Th. Fischer, K. Wolfrum: On the inherent complexity of geometric problems in d-space, Proc. MFCS'86, LNCS 233, 315–324
B. Gruenbaum: Convex Polytopes, Wiley Interscience 1967
A. Gyarfas, J. Lehl, Zs. Tuza: How many atoms can be defined by boxes? Combinatorica 5 (1985), 193–204
D.T. Lee, F.P. Preparata: Computational geometry — a survey, IEEE C-33 (1984), 1072–1101
G. Luecker: A data structure for orthogonal range queries, Proc. 19th FOCS, 1978, 28–34
K. Mehlhorn: Data Structures and Algorithms, Vol. 3, Springer 1984
N. Megiddo: Linear time algorithm for linear programming in R3 and related problems, SIAM J. Comp. 12(1983), 759–776
J. Moravek, P. Pudlak: New lower bound for polyhedral membership problem with an application to linear programming, MFCS'84, LNCS 176, 416–424
F.P. Preparata, M.I. Shamos: Computational Geometry — an Introduction, Springer 1985
J.B. Saxe: On the number of range queries in k-space, DAM 1 (1979), 217–225
H.W. Six, D. Wood: Counting and reporting intersections of d-ranges, IEEE C-31 (1982), 181–187
L.J. Stockmeyer, C.K. Wong: On the number of comparisons to find the intersection of two relations, SIAM J. Comp., 8 (1979), 388–404
A.C. Yao, R.L. Rivest: On the polyhedral decision problem, SIAM Journal on Computing 9 (1980), 343–347
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fischer, T. (1989). Towards a refined classification of geometric search and computation problems. In: Davenport, J.H. (eds) Eurocal '87. EUROCAL 1987. Lecture Notes in Computer Science, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51517-8_148
Download citation
DOI: https://doi.org/10.1007/3-540-51517-8_148
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51517-3
Online ISBN: 978-3-540-48207-9
eBook Packages: Springer Book Archive