Draw the graph for the following adjacency matrix. AB C D E F -- | --| 1| 1 -- A B -- 1- 11-- D 1 E F 1

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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6. Draw the graph for the following adjacency matrix.
A B C D E F
| 1 1
1
A
B
--
--
--
--
--
C11
--
--
--
D
1
--
--
--
E
--
F
1
7. Let G be an undirected graph whose vertices are the integers 1 through 8, and let the
adjacent vertices of each vertex be given by the table below:
Adjacent vertices
(2, 3, 4)
(1, 3, 4)
(1, 2, 4)
(1, 2, 3, 6)
(6, 7, 8)
(4, 5, 7)
(5, 6, 8)
(5, 7)
Vertex
1
2
3
4
6
8
Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the
same order as they are listed in the table above.
a. Draw G.
b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex
1.
c. Give the sequence of vertices visited using a BFS traversal starting at vertex 1.
Transcribed Image Text:6. Draw the graph for the following adjacency matrix. A B C D E F | 1 1 1 A B -- -- -- -- -- C11 -- -- -- D 1 -- -- -- E -- F 1 7. Let G be an undirected graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below: Adjacent vertices (2, 3, 4) (1, 3, 4) (1, 2, 4) (1, 2, 3, 6) (6, 7, 8) (4, 5, 7) (5, 6, 8) (5, 7) Vertex 1 2 3 4 6 8 Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table above. a. Draw G. b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex 1. c. Give the sequence of vertices visited using a BFS traversal starting at vertex 1.
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