avl-tree

How is Wikipedia's example of an unbalanced AVL tree really unbalanced?

The image above is from "Wikipedia's entry on AVL trees" which Wikipedia indicates is unbalanced. How is this tree not balanced already? Here's a quote from the article: The balance factor of a node is the height of its right subtree minus the height of its left subtree and a node with balance factor 1, 0, or -1 is considered bala...

Are AVL trees always a subset of red black trees?

I am searching for a proof that all AVL trees can be colored like a red-black tree? Can anyone give the proof? ...

The best way to calculate the height in a binary search tree? (balancing an AVL-tree)

I'm looking for the best way to calculate a nodes balance in an AVL-tree. I thought I had it working, but after some heavy inserting/updating I can see that it's not working correct (at all). This is kind of a two-part question, the first part would be how to calculate the height of a sub-tree, I know the definition "The height of a no...

An open adressed hash table using AVL trees with quadratic probing.

Each position in the table contains an AVL tree. Now, insertion and deletion work fine, but the problem comes with the deletion. Suppose I have this: [0]: a0 b0 c0 [1]: d0 e0 f0 [2]: g2 h0 i0 The number indicates that the associated elements have collided, so they have been moved to the other positions by the probing. Now, suppose I'd...

How would you go about implementing a balanced tree with lazy deletions?

More specifically, an AVL tree. Is it possible? I'd like to do it, but I'm thinking the undeleted nodes may be problematic to manage with the rotations. I have one that works normally, but I'd like to use this one with lazy deletion for something else. ...

Efficient Algorithm for building an AVL Tree from large collection

I have a large AVL Tree which I build some times during program from an unsorted collection (it will be used to insert/remove items later). Is there any better algorithm than using the simple insert on each item? Will it be more efficient to sort the collection first and then try to build it differently? Profiling of my application t...

Are AVL Trees Evil?

I was reading the article from Steve Yegge about singletons. In it he mentions his teacher told him AVL Trees were evil. Is it just that red and black trees are a better solution? ...

When to choose RB tree, B-Tree or AVL tree?

As a programmer when should I consider using a RB tree, B- tree or an AVL tree? What are the key points that needs to be considered before deciding on the choice? Can someone please explain with a scenario for each tree structure why it is chosen over others with reference to the key points? ...

C++ Force Template Parameter

I want this code to be possible. template<typename K, typename T, typename Comparer> class AVLTree { ... void foo() { ... int res = Comparer::compare(key1, key2); ... } ... }; Specifically, I want to force Comparer class to have a static int compare(K key1, K key2) function. I was thinking about using ...

Calculating the balance factor of a node in avl tree

I want to calculate the balance factor of a node in avl tree without using any recursive procedure. How can i do that? Please tell me method or provide C++ code snippet. ...

Balance factor of nodes in AVL Tree???

to calculate balance factor of a node in avl tree we need to find the height of its left subtree and the height of its right subtree then we subtract the height of right subtree from the height of its left subtree balancefactor=leftsubtreeheigh - rightsubtreeheight; my question is how to calculate the the height of left subtree or rig...

AVL Tree Balancing

Hello, I am working on an assignment that asks me to implement an AVL tree. I'm pretty sure I have the rotation methods correct, but I'm having trouble figuring out when to use them. For example, the explanation in the book says that I should climb up the same path I went down to insert the node/element. However, I can't have any parent...

Concatenating/Merging/Joining two AVL trees

Assume that I have two AVL trees and that each element from the first tree is smaller then any element from the second tree. What is the most efficient way to concatenate them into one single AVL tree? I've searched everywhere but haven't found anything useful. ...

AVL TREE in c++

I have a problem with this very simple block of code. please give me your advice . (My this problem is solved, and in solving this problem the person having id stakx really helped me, the only problem was that i was using stack< treeNode >, when i saw the push method of the stack carefully, there is a copying process when i write head->o...

How can I correctly display my AVL Tree in LaTex? A solo left-child hangs straight down....

The below code almost works perfectly, however the child of 9, 7, hangs straight down instead of as a left-child. How can I correct this? \usepackage{tikz} \usepackage{xytree} \begin{tikzpicture}[level/.style={sibling distance=60mm/#1}] \node [circle,draw] {4} child { node [circle,draw] {2} child {node [ci...

how to handle duplicates in AVL tree

I want to make my avl tree support adding duplicates but there is a problem with the default behavior of the binary search tree with duplicates that the rotation could make nodes with equal key be on the left and the right of the parent for example adding A,A,A will cause the tree to do a rotation to be something like that A / \...

AVL tree in C language

Hey all; i am currently doing a project that requires the use of AVL trees , the insert function i wrote for the avl does not seem to be working , it works for 3 or 4 nodes at maximum ; i would really appreciate your help The attempt is below Tree insert(Tree t,char name[80],int num) { if(t==NULL) { t = (Tree)malloc(sizeof(stru...

AVL tree vs. B-tree

How is an AVL tree different from a B-tree? ...

Paged binary trees vs. AVL trees and/or B-trees

How are paged binary trees different from AVL trees and/or B-trees? ...

New to AVL tree implementation.

I am writing a sliding window compression algorithm (LZ77) that searches for phrases in a "moving" dictionary. So far I have written a BST where each node is stored in an array and it's index in the array is also the value of the starting position in the window itself. I am now looking at transforming the BST to an AVL tree. I am a lit...