Rebalancing operations for deletions in AVL-trees

Athanasios K. Tsakalidis

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1985)

  • Volume: 19, Issue: 4, page 323-329
  • ISSN: 0988-3754

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Tsakalidis, Athanasios K.. "Rebalancing operations for deletions in AVL-trees." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 19.4 (1985): 323-329. <http://eudml.org/doc/92236>.

@article{Tsakalidis1985,
author = {Tsakalidis, Athanasios K.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {balanced trees; data structures; total rebalancing time; structure changes},
language = {eng},
number = {4},
pages = {323-329},
publisher = {EDP-Sciences},
title = {Rebalancing operations for deletions in AVL-trees},
url = {http://eudml.org/doc/92236},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Tsakalidis, Athanasios K.
TI - Rebalancing operations for deletions in AVL-trees
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1985
PB - EDP-Sciences
VL - 19
IS - 4
SP - 323
EP - 329
LA - eng
KW - balanced trees; data structures; total rebalancing time; structure changes
UR - http://eudml.org/doc/92236
ER -

References

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  1. 1. G. M. ADEL'SON-VEL'SKII and E. M. LANDIS, An Algorithm for the Organization of Information, Dokl. Akad. Nauk S.S.S.R., Vol. 146, 1962, pp. 263-266 (in Russian); English Translation in Soviet. Math., Vol. 3, pp. 1259-1262. MR156719
  2. 2. M. R. BROWN, A Partial Analysis of Random Height-Balanced Trees, S.I.A.M. J. Comput., Vol. 8, 1979, pp. 33-41. Zbl0402.05024MR522968
  3. 3. C. C. FOSTER, Information Storage and Retrieval Using AVL-Trees, ACM 20th National Conference, 1965, pp. 192-205. 
  4. 4. P. L. KARLTON, S. H. FULLER, R. E. SCROGGS and E. B. KAEHLER, Performance of Height-Balanced Trees, Comm. ACM., Vol. 19, 1976, pp. 23-28. Zbl0317.68044
  5. 5. D. E. KNUTH, The Art of Computer Programming, Sorting and Searching, Vol. 3, Addison-Wesley, Reading, MA, 1973. Zbl0302.68010MR378456
  6. 6. K. MEHLHORN, A Partial Analysis of Height-Balanced Trees Under Random Insertions and Deletions, S.I.A.M. J. Comput., Vol. 11, 1982, pp. 748-760. Zbl0496.68029MR677665
  7. 7. K. MEHLHORN, Data Structures and Algorithms 1, 2, 3, Springer Verlag, E.A.T.C.S. Monographs in Theoretical Computer Science, 1984. Zbl0556.68002MR756413
  8. 8. K. MEHLHORN and A. K. TSAKALIDIS, An Amortized Analysis of Insertions into AVL-Trees, S.I.A.M. J. Comput. (in press). Zbl0589.68048

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