An application of -ary trees to the design of data structures for geometric searching problems
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1989)
- Volume: 23, Issue: 2, page 165-176
- ISSN: 0988-3754
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topTalamo, M., and Gambosi, G.. "An application of $m$-ary trees to the design of data structures for geometric searching problems." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 23.2 (1989): 165-176. <http://eudml.org/doc/92329>.
@article{Talamo1989,
author = {Talamo, M., Gambosi, G.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {computational geometry; ECDF searching problem; data structures},
language = {eng},
number = {2},
pages = {165-176},
publisher = {EDP-Sciences},
title = {An application of $m$-ary trees to the design of data structures for geometric searching problems},
url = {http://eudml.org/doc/92329},
volume = {23},
year = {1989},
}
TY - JOUR
AU - Talamo, M.
AU - Gambosi, G.
TI - An application of $m$-ary trees to the design of data structures for geometric searching problems
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1989
PB - EDP-Sciences
VL - 23
IS - 2
SP - 165
EP - 176
LA - eng
KW - computational geometry; ECDF searching problem; data structures
UR - http://eudml.org/doc/92329
ER -
References
top- [1] J. L. BENTLEY, Multidimensional Divide and Conquer, Communications of A.C.M., vol. 23, 1980, pp. 214-229. Zbl0434.68049MR567150
- [2] J. L. BENTLEY, Multidimensional Binary Search Trees Used for Associative Searching, Communications of A.C.M., vol. 18, 1975, pp. 509-517. Zbl0306.68061
- [3] J. L. BENTLEY, Multidimensional Binary Search Trees in Database Applications, I.E.E.E. Trans. on Software Engineering, vol. 5, 1979, pp. 333-340. Zbl0411.68055
- [4] J. L. BENTLEY, Decomposable Searching Problems, Information Processing Letters, vol. 8, 1979, pp. 244-251. Zbl0404.68067MR534072
- [5] J. L. BENTLEY and J. H. FRIEDMAN, Data Structures for Range Searching, Computing Surveys, vol. 11, 1979, pp. 397-409.
- [6] J. L. BENTLEY and H. A. MAURER, Efficient Worst-case Data Structures for Range Searching, Acta Informatica, vol. 13, 1980, pp. 155-168. Zbl0423.68029MR564462
- [7] J. L. BENTLEY and J. B. SAXE, Decomposable Searching Problems # 1: Static to Dynamic Transformations, Journal of Algorithms, vol. 1, 1980, pp. 301-358. Zbl0461.68065MR604869
- [8] J. L. BENTLEY and M. I. SHAMOS, A Problem in Multivariate Statistics: Algorithm, Data Structure and Applications, Proc. 15th Annual Allerton Conf. on Communication, Control and Computing, 1977, pp. 193-201.
- [9] J. L. BENTLEY and D. WOOD, An Optimal Worst-case Algorithm for Reporting Intersection of Rectangles, I.E.E.E. Trans. on Computers, vol. 29, 1980, pp. 571-577. MR581619
- [10] B. M. CHAZELLE, Filtering Search: a New Approach to Query Answering, Proc. 24th I.E.E.E. Symp. on Foundations of Computer Science, 1983, pp. 122-132.
- [11] B. M. CHAZELLE and H. EDELSBRUNNER, Linear Space Data Structures for two Types of Range Search, Tech. Report 202, Inst. of Computer Science, University of Graz, 1985. Zbl0624.68054
- [12] R. A. FINKEL and J. L. BENTLEY, Quad Trees: a Data Structure for Retrieval of Composite Keys, Acta Informatica, vol. 4, 1974, pp. 1-9. Zbl0278.68030
- [13] M. F. FREDMAN, A Lower Bound on the Complexity of Orthogonal Range Queries, Journal ACM 28, 1981, pp. 696-706. Zbl0468.68049MR677081
- [14] M. F. FREDMAN, Lower Bounds on the Complexity of Some Optimal Data Structures, SIAM Journal on Computing 10, 1981, pp. 1-10. Zbl0454.68006MR605599
- [15] H. N. GABOW, J. L. BENTLEY and R. E. TARJAN, Scaling and Related Techniques for Geometry Problems, Proc. 16th Symp. on Theory of Computing, 1984, pp. 135-143.
- [16] D. T. LEE and C. K. WONG, Worst Case Analysis for Region and Partial Region Searches in Multidimensional Binary Search Trees and Balanced Quad Trees, Acta Informatica, vol. 9, 1977, pp. 23-29. Zbl0349.68016MR464676
- [17] D. T. LEE and C. K. WONG, Finding Intersection of Rectangles by Range Search, Journal of Algorithms, vol. 2, 1981, pp. 337-347. MR640518
- [18] D. T. LEE and C. K. WONG, Quintary Trees: a File Structure for Multidimensional Database Systems, A.C.M. Trans. on Database Systems, vol. 5, 1980, pp. 339-353. Zbl0441.68122
- [19] J. VAN LEEUWEN and D. WOOD, Dynamization of Decomposable Searching Problems, Information Processing Letters, vol. 10, 1980, pp. 51-56. MR564499
- [20] G. S LUEKER and D. E. WILLARD, A Data Structure for Dynamic Range Queries, Information Processing Letters, vol. 15, 1982, pp. 209-213. Zbl0511.68080MR684253
- [21] J. NIEVERGELT, H. HINTERBERGER and K. SEVCIK, The Grid File: an Adaptable, Symmetric Multikey Data Structure, A.C.M. Trans. on Database Systems, vol. 9, 1984, pp. 38-71.
- [22] M. H. OVERMARS, The Design of Dynamic Data Structures, Lectures Notes on Computer Science, Vol. 156, Springer Verlag, New York. Zbl0545.68009MR710832
- [23] M. H. OVERMARS, The Equivalence of Rectangle Containment, Rectangle Enclosure and ECDF Searching, Tech. Report RUU-CS-81-1, Dept. of Computer Science, University of Utrecht, 1981.
- [24] J. T. ROBINSON, The K-D-B Tree: a Search Structure for Large Multidimensional Dynamic Indexes, Proc. of the SIGMOD Conference, 1981, pp. 10-18.
- [25] J. VUILLEMIN, A Unifying Look at Data Structures, Communications of A.C.M., Vol. 23, 1980, pp. 229-239. Zbl0434.68047MR567151
- [26] D. E. WILLARD, New Data Structures for Orthogonal Range Queries, S.I.A.M. Journal on Computing, Vol. 14, 1985, pp. 232-253. Zbl0564.68071MR774942
- [27] D. E. WILLARD, Lower Bounds for Dynamic Range Queries That Permit Subtraction (to appear). Zbl0596.68066
- [28] D. E. WILLARD and G. S. LUEKER, Adding Range Restriction Capability to Dynamic Data Structures, Journal A.C.M., Vol. 32, 1985, pp. 597-617. Zbl0629.68097MR796204
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