In a binary tree, if a node has only one child, which traversal will still visit

Practice Questions

Q1
In a binary tree, if a node has only one child, which traversal will still visit all nodes?
  1. In-order
  2. Pre-order
  3. Post-order
  4. All of the above

Questions & Step-by-Step Solutions

In a binary tree, if a node has only one child, which traversal will still visit all nodes?
  • Step 1: Understand what a binary tree is. A binary tree is a structure where each node can have at most two children.
  • Step 2: Know that a node can have zero, one, or two children.
  • Step 3: Identify the three common traversal methods: in-order, pre-order, and post-order.
  • Step 4: Realize that in-order traversal visits nodes in the order of left child, then the node itself, then the right child.
  • Step 5: Understand that pre-order traversal visits the node first, then the left child, and finally the right child.
  • Step 6: Recognize that post-order traversal visits the left child first, then the right child, and finally the node itself.
  • Step 7: Note that if a node has only one child, all three traversal methods will still visit that node and its child.
  • Step 8: Conclude that regardless of whether a node has one child or two, all traversal methods will visit every node in the tree.
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