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A new class of balanced search trees: Half-balanced binary search trees. (English) Zbl 0489.68056


MSC:

68R10 Graph theory (including graph drawing) in computer science
68P10 Searching and sorting
68Q25 Analysis of algorithms and problem complexity
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References:

[1] 1. G. M. ADELSON-VELSKII and E. M. LANDIS, An Algorithm for the Organization of Information, Dokl. Akad. Nauk S.S.S.R., Vol. 146, 1962, pp. 263-266 (Russian). English translation in Soviet Math. Dokl., Vol. 3, 1962, pp. 1259-1263. MR156719
[2] 2. A. V. AHO, J. E. HOPCROFT and J. D. ULLMAN, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading, Mass., 1974. Zbl0326.68005 MR413592 · Zbl 0326.68005
[3] 3. R. BAYER, Symmetric Binary B-trees Data Structure and Maintenance Algorithms, Acta Informatica, Vol. 1, 1972, pp. 290-306. Zbl0233.68009 MR323192 · Zbl 0233.68009
[4] 4. N. BLUM and K. MEHLHORM, Mittlere Anzahl von Rebalancierungoperationen in Gewichtsbalancierten Bäumen, 4th GI Conference on Theoretical Computer Science, Aachen 1979, Lecture Notes in Computer Science, Vol. 67, pp. 67-78, Springer, Berlin, Heidelberg, New York. Zbl0399.05022 MR568093 · Zbl 0399.05022
[5] 5. P. L. KARLTON, S. H. FULLER, R. E. SCROGGS and E. B. KAEHLER, Performance of Height-Balanced Trees, Com. A.C.M. 19, Vol. 1, 1976, pp. 23-28. Zbl0317.68044 · Zbl 0317.68044
[6] 6. D. E. KNUTH, The Art of Computer Programming, Vol. 1, Fundamental Algorithms, Addison-Wesley, Reading, Mass., 1968, 1973. MR378456 · Zbl 0191.17903
[7] 7. D. E. KNUTH, The Art of Computer Programming, Vol. 3, Sorting and Searching, Addison-Wesley, Reading, Mass., 1973. Zbl0302.68010 MR445948 · Zbl 0302.68010
[8] 8. J. NIEVERGELT and E. M. Reingold, Binary Search Trees of Bounded Balance, S.I.A.M. J. Comput., Vol. 2, 1973, pp. 33-43. Zbl0262.68012 MR331903 · Zbl 0262.68012
[9] 9. H. J. OLIVIÉ, A New Class of Balanced Search Trees: Half-Balanced Binary Searc Trees, Technical Report 80-02, IHAM, Paardenmarkt 94, B-2000 Antwerp, Belgium, 1980.
[10] 10. H. J. OLIVIÉ, A Study of Balanced Binary Trees and Balanced One-Two Trees, Ph. D. Thesis, Dept. of Mathematics, U.I.A., University of Antwerp, Belgium, 1980.
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