(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.
(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
Section: Chapter Questions
Problem 1PE
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**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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa82bb76e-9b3c-4992-89bd-a2e148b0f6a6%2F7c350bf3-f857-4409-a9ee-2c967b2bc074%2F908ogzj_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 7**
Consider the following tree. Assume that the neighbors of a vertex are considered in alphabetical order.

**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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