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Binary Search Trees

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Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 146))

Abstract

In this chapter, we present a procedure of multi-stage optimization of binary search trees relative to the weighted average depth and weighted depth. The considered procedure is based on the representation of all possible binary search trees by a directed acyclic graph.

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References

  1. Alnafie, M., Chikalov, I., Hussain, S., Moshkov, M.: Sequential optimization of binary search trees for multiple cost functions. In: Potanin, A., Viglas T. (eds.) Seventeenth Computing: The Australasian Theory Symposium, CATS 2011, Perth, Australia, January 2011, CRPIT, vol. 119, pp. 41–44. Australian Computer Society (2011)

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  3. Knuth, D.E.: Optimum binary search trees. Acta Inform. 1(1), 14–25 (1971)

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  4. Mehlhorn, K.: Data Structures and Algorithms 1: Sorting and Searching. Monographs in Theoretical Computer Science. An EATCS Series, vol. 1. Springer, Heidelberg (1984)

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Correspondence to Hassan AbouEisha .

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AbouEisha, H., Amin, T., Chikalov, I., Hussain, S., Moshkov, M. (2019). Binary Search Trees. In: Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining. Intelligent Systems Reference Library, vol 146. Springer, Cham. https://doi.org/10.1007/978-3-319-91839-6_17

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