Preview
Unable to display preview. Download preview PDF.
Bibliography
Adel'son-Velskii, Landis: An algorithm for the organization of information, Soviet Math. Dokl, 3, 1259–1262.
Allan, B., Munro, I.: Self-Organizing Binary Search Trees, JACM, Vol. 25 (1978), pp. 526–535.
Altenkamp, D., Mehlhorn, K.: Codes: Unequal Letter Costs, Unequal Probabilities, Technical Report A 78/18, FB 10, Universität des Saarlandes (preliminary version: 5th Colloquium on Automata, Languages and Programming, Udine, 1978, Lecture Notes in Computer Science 62, pp. 15–25.
Baer, J. L.: Weight-balanced trees, Proc. AFIPS, Vol. 44, 1975, pp. 467–472.
Bayer, P. J.: Improved Lower Bounds on the Cost of Optimal and Balanced Binary Search Trees, Technical Report, Dept. of Computer Science, MIT.
Brown, M.R., Tarjan, R.E.: A Representation for Linear Lists with Movable Fingers, 10th ACM Symposium on Theory of Comouting, pp. 19–29, 1978.
Bruno, J., Coffman, E.G.: Nearly Optimal Binary Search Trees (IFIP 1971, North Holland 1972, pp. 99–103).
Cot, H.: Characterization and Design of Optimal Prefix Codes, Ph. D. Thesis, Stanford University, June 1977.
Csiszar: Simple Proofs of some theorems on noiseless channels, Inf. and Control 14, pp. 285–298, 1969.
Fredman, M.L. (a): Two Applications of a Probabilistic Search Technique: Sorting X+Y and Building Balanced Search Trees, 7th ACM Symposium on Theory of Computing, 1975, pp. 240–244.
Fredman, M.L. (b): How good is the information theory bound in sorting, TCS 1, (4), pp. 355–362, 1976.
Garsia, A.M., Wachs, M.L.: A new algorithm for minimum cost binary trees, SICOMP, No 4, 1977, pp. 622–642.
Gotlieb, Walker: A Top-Down Algorithm for Constructing Nearly Optimal Lexicographical Trees, Graph Theory and Computing, Academic Press, 1972.
Guibas, L.J., McCreight, E.M., Plass, M.F., Roberts, J.R.: A new representation for linear lists, 9th ACM Symposium on Theory of Computing, 1977, pp. 49–60.
Güttler, R., Mehlhorn, K., Schneider, W.: Binary Search Trees: Average and Worst Case Behavior, GI-Jahrestagung 1976, Informatik Fachberichte 5, pp. 301–317.
Harper, Pague, Savage, Straus: Sorting X+Y, CACM 18, 6 (1975), pp. 347–350.
Horibe, Y.: An improved bound for weight balanced trees, Inf. and Control 34, 1977.
Horibe, Y., Nemetz, T.: On the Max-Entropy Rule for a Binary Search Tree, Technical Report, Mathematical Institute, Hungarian Academy of Sciences.
Hu, Tucker: Optimum Computer Search Trees, SIAM J. of Applied Math. 21, 1971, pp. 514–532.
Huffman: A method for the Construction of Minimum-Redundancy Codes, Proc. IRE 40, 1098–1101, 1952.
Itai, A.: Optimal Alphabetic Trees, SIAM J. on Computing, Vol. 5, No. 1, March 1976, pp. 9–18.
Katona, G., Nemetz, T.: Huffman Codes and Self Information, IEEE Transactions on Information Theory, May 1976, pp. 337–340.
Knuth, D.E. (a): Optimum Binary Search Trees, Acta Informatica 1, 1971, pp. 14–25.
Knuth, D.E.: The Art of Computer Programming, Vol 3: Sorting and Searching, Addison Wesley, 1973.
Krause: Channels which transmit letters of unequal duration, Inf. and Control 5, pp. 13–24, 1962.
Mehlhorn, K. (a): Dynamic Binary Search, 4th Colloquium on Automata, Languages and Programming, Turku, 1977, Springer Lecture Notes 52, pp. 323–336 (to appear SIAM J. on Computing).
Mehlhorn, K. (b): Sorting Presorted Files, 4th GI-Conference on Theoretical Computer Science, Aachen, 1979.
Mehlhorn, K. (c): Effiziente Algorithmen, Teubner Verlag, Studienbücher Informatik, 1977.
Mehlhorn, K. (d): An Efficient Algorithm for the Construction of Nearly Optimal Prefix Codes, Technical Report A 78/13, FB 10, Universität des Saarlandes, submitted for publication.
Mehlhorn, K., Tsagarakis, M.: On the isomorphism of two algorithms: Hu/Tucker and Garsia/Wachs, 4ième Colloque de Lille "Les Ärbes en Algebre et en Programmation", Lille 1979.
van Leeuwen, J. (a): The complexity of data organization, 1976, Mathematical Centre Tract 81, pp. 37–147.
van Leeuwen, J. (b): On the construction of Huffmann Trees, 3rd ICALP (1976), pp. 382–410, Ed. S. Michaelson and R. Milner, Edinburgh University Press.
Unterauer, K.: Optimierung gewichteter Binärbäume zur Organisation geordneter dynamischer Dateien, Doktorarbeit, TU München, 1977.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mehlhorn, K. (1979). Searching, sorting and information theory. In: Bečvář, J. (eds) Mathematical Foundations of Computer Science 1979. MFCS 1979. Lecture Notes in Computer Science, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09526-8_10
Download citation
DOI: https://doi.org/10.1007/3-540-09526-8_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09526-2
Online ISBN: 978-3-540-35088-0
eBook Packages: Springer Book Archive