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b a d

b a d

Advanced Engineering Mathematics
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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**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)** --- **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`
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)** --- **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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