On Dichotomous Complexity of the Fibonacci Tree

  • Yasuichi Horibe


We consider the problem of identifying a leaf in a finite binary tree T by posing a sequence of questions of the form “Is the leaf in subtree U of T?” for various U. This scheme was considered in [2], but we will discuss the problem again in a much cleaner way and show our result in a form different from [2].


Root Node Induction Hypothesis Binary Tree Internal Node Edge Incident 
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  1. [1]
    Horibe, Y. “An Entropy View of Fibonacci Trees”. The Fibonacci Quarterly, Vol. 20 (1982): pp. 168–78.zbMATHGoogle Scholar
  2. [2]
    Rivest, R.L.“The Game of “N questions” on a Tree”. Discrete Math., Vol. 17, (1977): pp. 181–6.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Yasuichi Horibe

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