This has to do with computer programing. You may want to talk with someone who has the knowledge to get the right program.
Here is a high-level overview of insertion and deletion operations in an AVL tree:
Insertion:
Deletion:
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Linked list was introduced to reduce the space wastage done by array & also to make easier the insertion and deletion of elements from a list. A binary tree contains nodes of elements where insertion,deletion & searching is frequently done. So to make these operations easier linked list is used.
you do anything with binary element that is traversing. insertion,deletion, accesing anything.............
Insertion and extraction operations have a runtime performance cost due to the need to maintain balance. The more nodes you insert or extract at a time, the more significant that cost will become.
Advantages:BST is fast in insertion and deletion etc when balanced.Very efficient and its code is easier than link lists.Disadvantages:Shape of the tree depends upon order of insertion and it can be degenerated.Searching takes long time.
The complexity of binary search tree : Search , Insertion and Deletion is O(h) . and the Height can be of O(n) ( if the tree is a skew tree). For Balanced Binary Trees , the Order is O(log n).
Balanced trees were developed to address performance issues in unbalanced trees. By maintaining a balance in the tree structure through rotations and adjustments during insertions and deletions, balanced trees ensure efficient search, insertion, and deletion operations with a logarithmic time complexity. This helps prevent worst-case scenarios that can occur in unbalanced trees, such as linear time complexity for these operations.
SBT (Static Binary Tree) databases are data structures based on a unique arrangement of fixed-size blocks in a binary tree. They are optimized for fast and efficient searching, insertion, and deletion operations. SBT databases are commonly used in systems where data access needs to be quick and predictable.
The tree structure is useful because it easily accommodates the creation and deletion of folders and files.
No data container can ever be considered ideal in every case, including an AVL tree. Unordered containers that are ideal for quick insertion (which includes extraction) are not ideal for quick searching, while containers that are ideal for quick searching are not ideal for quick insertion. When we require both these operations, we must compromise one for the other. AVL trees are ideal for searching, but they are not ideal for insertion or extraction due to the need to re-balance the tree every time the tree changes.
Some disadvantages of AVL trees include the complexity of insertion and deletion operations due to the need for maintaining balance, which can affect performance. Additionally, the overhead of storing balance factors or heights for each node can increase memory usage. Balancing operations can also be more costly compared to simpler binary search trees.
O(log n)At each step of insertion you are either going to the left child or the right child. In a balanced tree, this will effectively cut the number of possible comparisons in half each time.
See related links for an example.