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Problem 3. Perform Depth-First Search on the directed graph shown in figure 3 (or show the order in which all the vertices will be discovered or visited). The starting vertex is 'A'. Classify all the edges (Tree edges, Back edges, Forward edges and Cross edges) in your graph after performing DFS. А B D E F G H Figure 3

Problem 3. Perform Depth-First Search on the directed graph shown in figure 3 (or show the order in which all the vertices will be discovered or visited). The starting vertex is 'A'. Classify all the edges (Tree edges, Back edges, Forward edges and Cross edges) in your graph after performing DFS. А B D E F G H Figure 3

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
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**Problem 3** Perform Depth-First Search on the directed graph shown in Figure 3 (or show the order in which all the vertices will be discovered or visited). The starting vertex is ‘A’. Classify all the edges (Tree edges, Back edges, Forward edges, and Cross edges) in your graph after performing DFS. **Figure 3 Description:** The graph consists of the following vertices and directed edges: - Vertices: A, B, C, D, E, F, G, H, I - Directed edges: - A to B - A to D - B to C - C to F - D to E - E to B - E to F - E to H - G to D - G to H - H to I To perform Depth-First Search (DFS) starting from vertex A, we follow the paths down to the deepest nodes and backtrack. The classification of edges involves: - **Tree Edges**: Part of the DFS tree, leading to a new vertex. - **Back Edges**: Point back to ancestors in the DFS tree. - **Forward Edges**: Point to descendants that aren't direct children in the DFS. - **Cross Edges**: All other edges, which connect vertices in the same level or across different branches, not in the DFS tree path. Proceed with these definitions to perform DFS and classify the edges accordingly.
Transcribed Image Text:**Problem 3** Perform Depth-First Search on the directed graph shown in Figure 3 (or show the order in which all the vertices will be discovered or visited). The starting vertex is ‘A’. Classify all the edges (Tree edges, Back edges, Forward edges, and Cross edges) in your graph after performing DFS. **Figure 3 Description:** The graph consists of the following vertices and directed edges: - Vertices: A, B, C, D, E, F, G, H, I - Directed edges: - A to B - A to D - B to C - C to F - D to E - E to B - E to F - E to H - G to D - G to H - H to I To perform Depth-First Search (DFS) starting from vertex A, we follow the paths down to the deepest nodes and backtrack. The classification of edges involves: - **Tree Edges**: Part of the DFS tree, leading to a new vertex. - **Back Edges**: Point back to ancestors in the DFS tree. - **Forward Edges**: Point to descendants that aren't direct children in the DFS. - **Cross Edges**: All other edges, which connect vertices in the same level or across different branches, not in the DFS tree path. Proceed with these definitions to perform DFS and classify the edges accordingly.
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