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D H B L E M N C (3) 1. Perform a preorder traversal of the tree diagrammed above. (3) 2. Perform an inorder traversal of the tree diagrammed above. (3) 3. Perform a postorder traversal of the tree diagrammed above. F O P K

D H B L E M N C (3) 1. Perform a preorder traversal of the tree diagrammed above. (3) 2. Perform an inorder traversal of the tree diagrammed above. (3) 3. Perform a postorder traversal of the tree diagrammed above. F O P K

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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### Tree Traversals **Tree Structure:** - Root: A - Level 1: B, C - Level 2: D, E (under B), and F (under C) - Level 3: G, H (under D); I (under E); J, K (under F) - Level 4: L (under H); M, N (under I); O, P (under K) **Tasks:** 1. **Preorder Traversal** - Visit the root, then the left subtree, followed by the right subtree. - Order: A, B, D, G, H, L, E, I, M, N, C, F, J, K, O, P 2. **Inorder Traversal** - Visit the left subtree, the root, and then the right subtree. - Order: G, D, L, H, B, M, I, N, E, A, C, J, O, F, P, K 3. **Postorder Traversal** - Visit the left subtree, the right subtree, and then the root. - Order: G, L, H, D, M, N, I, E, B, O, P, J, K, F, C, A ### Graph and Minimum Spanning Tree **Graph Structure:** - Nodes: a, b, c, d, e, f, g, h, i, j, k - Edges with weights: - a-b (4), a-e (4), a-f (6) - b-e (3), b-c (5) - c-d (3), c-g (3) - d-h (4), e-j (3) - f-e (3), f-g (1) - g-h (6), g-k (2) - i-e (1), i-j (3) - j-k (4) **Objective:** Find a minimum spanning tree, minimizing the total edge weight while connecting all nodes. **Approach:** Using algorithms like Prim's or Kruskal's, ensure all nodes are connected with the minimum total edge weight, avoiding any cycles.
Transcribed Image Text:### Tree Traversals **Tree Structure:** - Root: A - Level 1: B, C - Level 2: D, E (under B), and F (under C) - Level 3: G, H (under D); I (under E); J, K (under F) - Level 4: L (under H); M, N (under I); O, P (under K) **Tasks:** 1. **Preorder Traversal** - Visit the root, then the left subtree, followed by the right subtree. - Order: A, B, D, G, H, L, E, I, M, N, C, F, J, K, O, P 2. **Inorder Traversal** - Visit the left subtree, the root, and then the right subtree. - Order: G, D, L, H, B, M, I, N, E, A, C, J, O, F, P, K 3. **Postorder Traversal** - Visit the left subtree, the right subtree, and then the root. - Order: G, L, H, D, M, N, I, E, B, O, P, J, K, F, C, A ### Graph and Minimum Spanning Tree **Graph Structure:** - Nodes: a, b, c, d, e, f, g, h, i, j, k - Edges with weights: - a-b (4), a-e (4), a-f (6) - b-e (3), b-c (5) - c-d (3), c-g (3) - d-h (4), e-j (3) - f-e (3), f-g (1) - g-h (6), g-k (2) - i-e (1), i-j (3) - j-k (4) **Objective:** Find a minimum spanning tree, minimizing the total edge weight while connecting all nodes. **Approach:** Using algorithms like Prim's or Kruskal's, ensure all nodes are connected with the minimum total edge weight, avoiding any cycles.
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