Breadth First Search Traversal VS Pre-order Traversal VS Depth First Search Traversal
For a binary tree, is Breadth First Search traversal (BFS) the same as Pre-order traversal? I am a little bit confused by these two different types of traversals.
Additionally, how does Pre-order traversal compare to Depth First Search traversal (DFS)?
No, pre-order traversal is actually a form of Depth-First-Search (DFS) traversal. There are three different forms of DFS, namely:
- Pre-Order
- In-Order
- Post-Order
To prove that Breadth-First-Search (BFS) traversal isn't the same as pre-order traversal I will show a counter example below:
To be clear a binary tree isn't the same as a binary search tree, namely a binary tree can be defined as:
Binary Tree - A tree whose elements have at most 2 children is called a binary tree. Note there is no mentioning of the ordering of the children.
Ok now to the counter-example, take the following simple binary tree:
For a pre-order traversal the nodes are visited in the following order: Pre-Order: [1,2,4,3]
now for Breadth-First-Search traversal the nodes are visited in the following order:
BFS: [1,2,3,4]
Note: pre-order traversal is different from the BFS traversal.
For more information on the different tree traversals check out this link
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