b a d
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Q18C. In what order are the vertices visited in a post-order traversal of the tree below? (Enter answer as a simple string of letters, using no commas or spaces. For example: xyzwvu)**
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**Tree Diagram Explanation:**
The diagram is a binary tree with the following structure:
- The root node is "g".
- "g" has one child, "b".
- "b" has three children: "c", "a", and "d".
- "c" has one child, "f".
- "d" has one child, "e".
**Post-order Traversal:**
In post-order traversal, nodes are recursively visited in the following order: left child, right child, root.
- First, visit the subtree rooted at "c":
- Visit "f" (left child of "c").
- Visit "c" (since "c" has no right child).
- Next, visit the subtree rooted at "a" (since "a" is a leaf node, visit "a").
- Then, visit the subtree rooted at "d":
- Visit "e" (left child of "d").
- Visit "d" (since "d" has no right child).
- Finally, visit "b" (root of this subtree).
- Lastly, visit "g" (root of the whole tree).
**Answer:**
The post-order traversal string for the given tree is: `fcadebg`
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