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Information Journal Paper

Title

ON THE AVERAGE HEIGHT OF B-BALANCED ORDERED TREES

Author(s)

KEMP R. | Issue Writer Certificate 

Pages

  175-218

Abstract

 An ordered  tree with height h is b-balanced if all its leaves have a level l with h-b £ l £ h, where at least one leaf has a level equal to h − b. For large n, we shall compute asymptotic equivalents to the number of all B-BALANCED ORDERED TREES with n nodes and of all such trees with height h. Furthermore, assuming that all B-BALANCED ORDERED TREES with n nodes are equally likely, we shall determine the exact asymptotic behavior of the average height of such a tree together with the variance.

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  • Cite

    APA: Copy

    KEMP, R.. (2004). ON THE AVERAGE HEIGHT OF B-BALANCED ORDERED TREES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), 3(2), 175-218. SID. https://sid.ir/paper/117870/en

    Vancouver: Copy

    KEMP R.. ON THE AVERAGE HEIGHT OF B-BALANCED ORDERED TREES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS)[Internet]. 2004;3(2):175-218. Available from: https://sid.ir/paper/117870/en

    IEEE: Copy

    R. KEMP, “ON THE AVERAGE HEIGHT OF B-BALANCED ORDERED TREES,” JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), vol. 3, no. 2, pp. 175–218, 2004, [Online]. Available: https://sid.ir/paper/117870/en

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