When is a graph a tree? Write a program that will read from a filespecified on the command line and determine from the graph's adjacencymatrix whether or not it is a tree.Example:Ja.out graph.txtOutput:The graph is a tree!Contents of graph.txt will be something like this:50100010111010000100001000

Answered: When is a graph a tree? Write a program…

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

When is a graph a tree? Write a program that will read from a file
specified on the command line and determine from the graph's adjacency
matrix whether or not it is a tree.
Example:
Ja.out graph.txt
Output:
The graph is a tree!
Contents of graph.txt will be something like this:
5
01000
10111
01000
01000
01000

Expert Solution

Step 1

The main difference between a graph and a tree is that the tree doesn't have any cycle in it whereas a graph as cycle. A tree has all it's node connected i.e. all nodes can be traversed from any node i.e. total number of edges to be n-1 where n is the number of vertices/nodes

Considering adjacency matrix of undirected graph.

To check whether the graph is tree or not, calculating number of edges and checking whether the whole graph can be visited from single node or not.

Below is the program implementation in C language as no programming language was mentioned in the question.

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