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On Dichotomous Complexity of the Fibonacci Tree

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Applications of Fibonacci Numbers

Abstract

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].

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References

  1. Horibe, Y. “An Entropy View of Fibonacci Trees”. The Fibonacci Quarterly, Vol. 20 (1982): pp. 168–78.

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  2. Rivest, R.L.“The Game of “N questions” on a Tree”. Discrete Math., Vol. 17, (1977): pp. 181–6.

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© 1996 Kluwer Academic Publishers

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Horibe, Y. (1996). On Dichotomous Complexity of the Fibonacci Tree. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0223-7_20

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  • DOI: https://doi.org/10.1007/978-94-009-0223-7_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6583-2

  • Online ISBN: 978-94-009-0223-7

  • eBook Packages: Springer Book Archive

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