What is an example of a Degenerated Binary Tree?
A Degenerated Binary Tree is exemplified by a tree structure that resembles a linked list, where each parent node has only one child. In this case, the given tree serves as an example of a Degenerated Binary Tree.
Degenerated Binary Tree Explanation
A Degenerated Binary Tree, also known as a Pathological Tree, is a type of binary tree where each parent node has only one child. This results in an unbalanced tree structure that essentially forms a linked list.
Characteristics of a Degenerated Binary Tree:
A Degenerated Binary Tree lacks the balance and structure found in other types of binary trees such as Perfect Binary Trees, Complete Binary Trees, and Full Binary Trees. The imbalance occurs when nodes are inserted in a particular order, causing each parent node to have only one child.
Comparison with Other Types of Binary Trees
Perfect Binary Tree:
A Perfect Binary Tree is a binary tree where all levels are completely filled, except for the last level, which is filled from left to right. It contains 2^(h - 1) nodes, where h is the height of the tree.
Complete Binary Tree:
A Complete Binary Tree is a binary tree where all levels, except for the last level, are completely filled, and nodes are as left as possible.
Full Binary Tree:
In a Full Binary Tree, each node has either 0 or 2 children, ensuring that no node has only one child.
The tree presented in the example does not qualify as a Perfect Binary Tree, Complete Binary Tree, or Full Binary Tree due to its unbalanced and incomplete structure. It fails to meet the criteria of having two children for each node as required in a Full Binary Tree.