(a) Give the tree resulting from a traversal of the graph below starting at ver- tex a using BFS. (b) Give the tree resulting from a traversal of the graph below starting at ver- tex a using DFS.

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
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**Problem 7**

Consider the following tree. Assume that the neighbors of a vertex are considered in alphabetical order.

![Graph Image](https://example.com/graph.png)

**Figure 15:** A graph has 7 vertices, labeled a through g, and 10 edges. The vertices and their positions are as follows:

- Vertex *e* on the left end is horizontally inline with vertex *g* on the right end.
- Vertex *b* is below and to the right of vertex *e*.
- Vertex *c* is above vertex *e* and to the right of vertex *b*.
- Vertex *f* is between and to the right of vertices *c* and *b*.
- Vertex *j* is horizontally inline with vertices *e* and *g*.
- Vertex *a* is above and to the right of vertex *f*.
- Vertex *d* is below and to the right of vertex *f*.
- Vertex *a* is vertically inline with vertex *d*.
- Vertex *g* is between and to the right of vertices *a* and *d*.

The edges between the vertices are as follows: 
- *e* and *b* 
- *b* and *c* 
- *c* and *f* 
- *c* and *a* 
- *a* and *d* 
- *b* and *f* 
- *f* and *a* 
- *f* and *d* 
- *a* and *g* 
- *d* and *g* 

**Tasks:**
- (a) Give the tree resulting from a traversal of the graph starting at vertex *a* using Breadth-First Search (BFS).
  
- (b) Give the tree resulting from a traversal of the graph starting at vertex *a* using Depth-First Search (DFS).
Transcribed Image Text:**Problem 7** Consider the following tree. Assume that the neighbors of a vertex are considered in alphabetical order. ![Graph Image](https://example.com/graph.png) **Figure 15:** A graph has 7 vertices, labeled a through g, and 10 edges. The vertices and their positions are as follows: - Vertex *e* on the left end is horizontally inline with vertex *g* on the right end. - Vertex *b* is below and to the right of vertex *e*. - Vertex *c* is above vertex *e* and to the right of vertex *b*. - Vertex *f* is between and to the right of vertices *c* and *b*. - Vertex *j* is horizontally inline with vertices *e* and *g*. - Vertex *a* is above and to the right of vertex *f*. - Vertex *d* is below and to the right of vertex *f*. - Vertex *a* is vertically inline with vertex *d*. - Vertex *g* is between and to the right of vertices *a* and *d*. The edges between the vertices are as follows: - *e* and *b* - *b* and *c* - *c* and *f* - *c* and *a* - *a* and *d* - *b* and *f* - *f* and *a* - *f* and *d* - *a* and *g* - *d* and *g* **Tasks:** - (a) Give the tree resulting from a traversal of the graph starting at vertex *a* using Breadth-First Search (BFS). - (b) Give the tree resulting from a traversal of the graph starting at vertex *a* using Depth-First Search (DFS).
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