An AVL tree is an example of a balanced tree.
When the Avl is in a left left case which of these steps should you take to correct the height of the tree ?
A) Right
B) left
C) Left Right
D) Rgiht left
Why is a balance condition imporant in binary search trees like AVL?
It ensures that the depth of the tree is O(logN)
none of the above
What is a "balanced" binary tree?
A) A tree whose leaves are all on the same depth
B) A complete and full tree
C) A tree whose left and right subtrees differ by at most 1 in depth
D) A binary tree cannot be balanced
What’s the average case for search? Worst case?
O(log n); O(log n)
What is an AVL tree?
A) a tree with lots of leaves
B) a self balancing binary tree
C) there is no such thing
D) a tree with the parent being the smallest value
When inserting into an AVL tree, the first step is to insert a node in its proper place according to BST rules. After BST insertion however, the tree is not guaranteed to be an AVL tree. What is the next step in the algorithm?
A. if the new node is a left leaf, rotate left
B. update the height and determine the balance of the tree recursively
C. if the new node is a right leaf, rotate right
D. deconstruct the tree and build it again from scratch
What makes AVL trees different from Binary Search Trees?
In an AVL tree every node in the tree, the height of the left and right subtrees can differ by at most one.
What is an AVL tree visualization?
A. an AVL tree is a self-balancing binary search tree.
B. an AVL tree is a non-balancing binary search tree.
C. an AVL tree is a back-balancing binary search tree.
D. an AVL tree is a front-balancing binary search tree.
An Adelson-Velskii Landis (AVL) tree is a self-balancing Binary Search Tree(BST) that maintains it's height to be O(log N) when having N vertices in the AVL tree.
When rotating an AVL tree which of the following are a case where you would need to rotate?
A. left,left
B. left,right
C. right,right
D. right,left
E. All of the above
In average case, what is the efficiency of insertion of an AVL tree
A. logn
B. nlogn
C. n
D. n2
What do AVL trees do?
They automatically readjust to keep the tree more balanced with a lower height. This reduces the worst-case scenario of searching.
What is the worst case possible height of AVL tree?
A.n
B.n^2
C.1.44 log n
D.n+2
What is the term for AVL tree balancing?
zig-zag
What is the biggest height difference an AVL tree can have without rotating?
At most the difference can be a height of 1.
