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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
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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### 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.
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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