(data structure)
Definition: A variant of a binary tree where a tree of order n (n>1) has a left subtree of order n-1 and a right subtree of order n-2. An order 0 Fibonacci tree has no nodes, and an order 1 tree has 1 node.
Generalization (I am a kind of ...)
binary tree, AVL tree.
Aggregate parent (I am a part of or used in ...)
Fibonaccian search.
Aggregate child (... is a part of or used in me.)
Fibonacci number.
Note: A Fibonacci tree of order n has F(n+2)-1 nodes, where F(n) is the nth Fibonacci number. A Fibonacci tree is the most unbalanced AVL tree allowed.
Author: PEB
pictures of Fibonacci trees of various orders.
[Knuth98, 3:417, Sect. 6.2.1].
If you have suggestions, corrections, or comments, please get in touch with Paul E. Black.
Entry modified 10 January 2005.
HTML page formatted Mon Sep 11 09:46:03 2006.
Cite this as:
Paul E. Black, "Fibonacci tree", in
Dictionary of Algorithms and Data
Structures [online], Paul E. Black, ed.,
U.S. National Institute of
Standards and Technology. 10 January 2005. (accessed TODAY)
Available from: http://www.nist.gov/dads/HTML/fibonacciTree.html
