Using persistent data structures for adding range restrictions to searching problems

Hans-Peter Lenhof; Michiel Smid

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1994)

  • Volume: 28, Issue: 1, page 25-49
  • ISSN: 0988-3754

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Lenhof, Hans-Peter, and Smid, Michiel. "Using persistent data structures for adding range restrictions to searching problems." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 28.1 (1994): 25-49. <http://eudml.org/doc/92468>.

@article{Lenhof1994,
author = {Lenhof, Hans-Peter, Smid, Michiel},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
language = {eng},
number = {1},
pages = {25-49},
publisher = {EDP-Sciences},
title = {Using persistent data structures for adding range restrictions to searching problems},
url = {http://eudml.org/doc/92468},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Lenhof, Hans-Peter
AU - Smid, Michiel
TI - Using persistent data structures for adding range restrictions to searching problems
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1994
PB - EDP-Sciences
VL - 28
IS - 1
SP - 25
EP - 49
LA - eng
UR - http://eudml.org/doc/92468
ER -

References

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  3. 3. B. CHAZELLE and L. J. GUIBAS, Fractional Cascading I: a Data Structuring Technique, Algorithmica, 1986, 1, 133-162. Zbl0639.68056MR858402
  4. 4. P. F. DIETZ and R. RAMAN, Persistence, Amortization and Randomization, Tech. Report 353, University of Rochester, 1991. Zbl0800.68346MR1095822
  5. 5. M. DIETZFELBINGER, A. KARLIN, K. MEHLHORN, F. MEYERauf der HEIDE, H. ROHNERT, R. E. TARJAN, Dynamic Perfect Hashing, Proc. 29-th Annual IEEE Symp. on Foundations of Computer Science, 1988, 524-531. 
  6. 6. J. R. DRISCOLL, N. SARNAK, D. D. SLEATOR and R. E. TARJAN, Making Data Structures Persistent, J. Comput. System Sci., 1989, 38, 86-124. Zbl0667.68026MR990051
  7. 7. H. EDELSBRUNNER, A Note on Dynamic Range Searching, Bull. of the EATCS, 1981, 15, 34-40. 
  8. 8. H. N. GABOW, J. L. BENTLEY and R. E. TARJAN, Scaling and Related Techniques for Geometry Problems, Proc. 16-th Annual ACM Symp. on Theory of Computing, 1984, 135-143. 
  9. 9. R. KLEIN, O. NURMI, T. OTTMANN and D. WOOD, A Dynamic Fixed Windowing Problem, Algorithmica, 1989, 4, 535-550. Zbl0684.68035MR1019392
  10. 10. K. MEHLHORN and S. NÄHER, Bounded Ordered Dictionaries in O(log log N) Time and O(n) Space, Inform. Proc. Lett., 1990, 35, 183-189. Zbl0702.68042MR1066121
  11. 11. M. H. OVERMARS, The Design of Dynamic Data Structures, Lecture Notes in Computer Science, 1983, Vol. 156, Springer-Verlag, Berlin. Zbl0545.68009MR710832
  12. 12. M. H. OVERMARS, Efficient Data Structures for Range Searching on a Grid, J. of Algorithms, 1988, 9, 254-275. Zbl0637.68067MR936109
  13. 13. N. SARNAK and R. E. TARJAN, Planar Point Location Using Persistent Search Trees, Comm. A.C.M., 1986, 29, 669-679. Zbl0732.68102MR848411
  14. 14. H. W. SCHOLTEN and M. H. OVERMARS, General Methods for Adding Range Restrictions to Decomposable Searching Problems, J. Symbolic Computation, 1989, 7, 1-10. Zbl0668.68073MR984267
  15. 15. P. van EMDE BOAS, Preserving Order in a Forest in Less than Logarithmic Time and Linear Space, Inform. Proc. Lett., 1977, 6, 80-82. Zbl0364.68053
  16. 16. P. van EMDE BOAS, R. KAAS and E. ZIJLSTRA, Design and Implementation of an Efficient Priority Queue, Math. Systems Theory, 1977, 10, 99-127. Zbl0363.60104MR431777
  17. 17. D. E. WILLARD and G. S. LUEKER, Adding Range Restriction Capability to Dynamic Data Structures, J. A.C.M., 1985, 32, 597-617. Zbl0629.68097MR796204

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