Classify Tree Traversal Algorithms. Provide some visual explanation.
Classify Tree Traversal Algorithms. Provide some visual explanation.
Tree traversal algorithms are methods used to visit all the nodes in a tree data structure systematically. These algorithms can be broadly classified into two main categories: Depth-First Search (DFS) and Breadth-First Search (BFS). Each category has its own set of traversal techniques.
DFS traversals explore as far down a branch as possible before backtracking. There are three primary types of DFS traversals:
In an inorder traversal, the nodes are visited in the following order:
Visual Explanation:
Consider the following binary tree:
A
/ \
B C
/ \ \
D E F
Inorder traversal of this tree would visit the nodes in the order: D, B, E, A, C, F.
In a preorder traversal, the nodes are visited in the following order:
Visual Explanation:
Using the same tree:
A
/ \
B C
/ \ \
D E F
Preorder traversal of this tree would visit the nodes in the order: A, B, D, E, C, F.
In a postorder traversal, the nodes are visited in the following order:
Visual Explanation:
Using the same tree:
A
/ \
B C
/ \ \
D E F
Postorder traversal of this tree would visit the nodes in the order: D, E, B, F, C, A.
BFS traversal explores all nodes at the present depth level before moving on to nodes at the next depth level. The primary type of BFS traversal is:
In level order traversal, the nodes are visited level by level from left to right.
Visual Explanation:
Using the same tree:
A
/ \
B C
/ \ \
D E F
Level order traver...
middle
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