Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a ph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to 1 about the Adjacency Matrix concept as well as the Adjacency List concept. pose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column ces(0,1,2,3,4,5,6.and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. tex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph 2 3 4 pose furnther, that the following is an Adjacency Matrix representing the Graph. 4 5. 7 1 1 01 1 01 +n 67

Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a ph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to 1 about the Adjacency Matrix concept as well as the Adjacency List concept. pose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column ces(0,1,2,3,4,5,6.and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. tex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph 2 3 4 pose furnther, that the following is an Adjacency Matrix representing the Graph. 4 5. 7 1 1 01 1 01 +n 67

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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Question

The Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a
Graph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through
this exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to
read about the Adjacency Matrix concept as well as the Adjacency List concept.
Suppose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column
indices(0,1,2,3,4,5,6,and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table.
Vertex of Graph
Index in the 2-D Array Adjacency Matrix
Representation of Graph
A
B
2
F
6.
H
7
Suppose further, that the following is an Adjacency Matrix representing the Graph.
3
4
5.
6.
7
0.
1
1
1
1
01
1
01
1.
3
14
1
1
1
6.
1
Exercise:
Show/Draw the Graph that is represented by the above Adjacency matrix. Upload the document that contains
your result. (Filename: <YourName>AdjacencyMatrixExercise.pdf)
Notes:
-The nodes of the graph must be labeled as A, B, C, D, E, F, G and H.
-In the adjacency matrix, the entry 1 means there is an edge from the vertex represented by the corresponding
row inde to the vertex represented by the corresponding column index.

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