4. Use the tree rooted at A to answer the following questions. K E L B F M O H N O Q R (a) List the order of the vertices produced by using Breadth-First Search. (b) List the order of the vertices produced by using Pre-Order Depth First Search. (c) List the order of the vertices produced by using Post-Order Depth First Search.
4. Use the tree rooted at A to answer the following questions. K E L B F M O H N O Q R (a) List the order of the vertices produced by using Breadth-First Search. (b) List the order of the vertices produced by using Pre-Order Depth First Search. (c) List the order of the vertices produced by using Post-Order Depth First Search.
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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Question

Transcribed Image Text:### Tree Traversal Exercises
Given the tree rooted at **A**, answer the following questions regarding different tree traversal methods.
#### Tree Structure:
The tree is structured as follows:
- Root: A
- Children of A: B, C, D
- Children of B: E, F
- Children of E: K, L
- Child of F: M
- Child of C: G
- Children of D: H, I, J
- Children of I: N, O
- Child of N: P
- Children of O: Q, R
#### Exercises:
(a) **Breadth-First Search (BFS):**
List the order of the vertices produced.
Order: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R
(b) **Pre-Order Depth First Search (DFS):**
List the order of the vertices produced.
Order: A, B, E, K, L, F, M, C, G, D, H, I, N, P, O, Q, R, J
(c) **Post-Order Depth First Search (DFS):**
List the order of the vertices produced.
Order: K, L, E, M, F, B, G, C, H, P, N, Q, R, O, I, J, D, A
---
Explore how these traversal orders vary across different methods, and how they are applied in tree data structures.
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