Skip to main content

On an Asymptotic Maximality of the Fibonacci Tree

  • Chapter
  • 448 Accesses

Abstract

Continuing a previous paper [2], a certain asymptotically maximal property of the Fibonacci tree in the class of the self-similar binary trees will be shown, beginning with a review of the relevant parts of [2] in the next section.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Horibe, Y. “An Entropy View of Fibonacci Trees.” The Fibonacci Quarterly, Vol. 20 (1982): pp. 168–178.

    MATH  Google Scholar 

  2. Horibe, Y. “Growing a Self-Similar Tree.” Applications of Fibonacci Numbers, Volume 7. Edited by G.E. Bergum, A.F. Horadam and A.N. Philippou. Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998: pp. 177–184.

    Chapter  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Horibe, Y. (1999). On an Asymptotic Maximality of the Fibonacci Tree. In: Howard, F.T. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4271-7_19

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4271-7_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5851-3

  • Online ISBN: 978-94-011-4271-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics