avl-tree Questions

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Is there a formula to calculate what the maximum and minimum height for an AVL tree, given a certain number of nodes? For example: Textbook question: What is the maximum/minimum height for an AVL ...
Hasbeen asked 11/6, 2015 at 0:2

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As far as I know the time complexity between AVL trees and Binary Search Trees are the same in average case, with AVLs beating BSTs in worst case scenarios. This gives me a hint that AVLs are alway...

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I know the formula of finding minimum number of node in a AVL tree is S(h) = S(h-1) + S(h-2) + 1 However, I don't really get how to use this function, say if we have a AVL height of 6. The answe...
Maskanonge asked 25/1, 2014 at 5:47

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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...
Grooms asked 23/10, 2008 at 18:20

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AVL and Red-black trees are both self-balancing except Red and black color in the nodes. What's the main reason for choosing Red black trees instead of AVL trees? What are the applications of Red b...
Cointon asked 13/12, 2012 at 4:17

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How is an AVL tree different from a B-tree?
Draftee asked 29/4, 2010 at 4:0

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Is the computational complexity of TreeSet methods in Java, same as that of an AVLTree? Specifically, I want to know the computational complexity of the following methods: 1.add 2.remove 3.first ...
Midsection asked 17/1, 2013 at 12:49

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B Tree is self balancing tree like AVL tree. HERE we can see how left and right rotations are used to keep AVL tree balanced. And HERE is a link which explains insertion in B tree. This insertion...
Greatest asked 23/2, 2015 at 18:26

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Imagine I have a big sorted list of integers (>1000 items). I need to be able to do two operations on this list: remove the lower half and fill the list again to its original size by inserting rand...
Rebarbative asked 31/3, 2016 at 10:44

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The vm_area_struct structure used to link various sections of a memory mapped executable file is stored as a red black tree. Now, as far as I know and the post here mentions too Difference between ...
Backing asked 17/7, 2016 at 17:10

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I have used kd-tree algoritham and make tree. But i found that tree is not balanced so my question is if we used kd-tree algoritham then that tree is always balanced if not then how can we make i...

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So, I'm trying to implement a Data Structure to handle Dynamic Order Statistic. The Data Structure has following operations: add(x): inserts a new element with value x get(k): returns the k-th sm...
Peipeiffer asked 6/1, 2018 at 16:30

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I have a data structures homework, that in addition to the regular AVL tree functions, I have to add a function that returns the minimum gap between any two numbers in the AVL tree (the nodes in th...
Unesco asked 8/9, 2012 at 12:10

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The third paragraph of wikipedia's article on AVL trees says: "Because AVL trees are more rigidly balanced, they are faster than red-black trees for lookup-intensive applications." So, shouldn't T...

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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). Thi...

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I have implemented an AVL tree, but I have a problem. Suppose I have following tree: And after adding another node: Now I must rotate node5 to left: But after rotation, it is still unbala...
Ashantiashbaugh asked 9/10, 2013 at 16:58

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I'm working with a dataset composed by probabilistic encrypted elements indistinguishable from random samples. This way, sequential encryptions of the same number results in different ciphertexts. ...
Doubletime asked 4/7, 2016 at 13:5

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An AVL tree is the same as a self-balancing binary search tree. What does AVL stand for? Does it have to do with the name of the inventor?
Unhorse asked 17/6, 2016 at 10:11

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Can someone please explain what the main differences between these two data structures are? I've been trying to find a source online that highlights the differences/similarities, but I haven't foun...

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My best guess is that one rotation is always enough to balance an AVL tree when you insert or delete ONE element from an already balanced AVL tree. Is one rotation always enough? An example will h...
Primal asked 3/1, 2014 at 20:50

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What is the maximum difference between any two leaves in an AVL tree? If I take an example, my tree becomes unbalanced, if the height difference is more than 2(for any two leaves), but the answer i...
Gokey asked 10/3, 2015 at 13:26

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While I was learning Binary search tree(Balanced and unbalanced), I come up with questions which I need to resolve: If I construct a Binary search tree(Not necessary to be balanced) , using n ele...

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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 t...
Manuscript asked 10/1, 2010 at 14:6

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What is the standard balanced binary search tree implementation one should use in Scala 2.10.x? I am looking around and it seems that AVLTree was removed and RedBlack is deprecated with a message (...
Homothermal asked 24/2, 2014 at 17:35

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Is there such a sequence of numbers (1-7, all numbers used, only once each), that would form equal AVL and splay tree?
Blaylock asked 28/1, 2013 at 14:41

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