Gap terminology and related combinatorial properties for AVL trees and Fibonacci-isomorphic trees

We introduce gaps that are edges or external pointers in AVL trees such that the height difference between the subtrees rooted at their two endpoints is equal to 2. Using gaps we prove the Basic-Theorem that illustrates how the size of an AVL tree (and its subtrees) can be represented by a series of...

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Bibliographic Details
Main Author: Mahdi Amani
Format: Article
Language:English
Published: Taylor & Francis Group 2018-04-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1016/j.akcej.2018.01.019